Upload permutation-groups.py with huggingface_hub

permutation-groups.py

@@ -3,27 +3,28 @@ import json
 import os
 import pyarrow as pa
 
-_DESCRIPTION = "A collection of permutation composition datasets for various symmetric and alternating groups."
+_DESCRIPTION = "A comprehensive collection of permutation composition datasets for various mathematical groups including symmetric, alternating, cyclic, dihedral, and sporadic groups."
 _HOMEPAGE = "https://huggingface.co/datasets/BeeGass/permutation-groups"
 _LICENSE = "MIT"
 
 class PermutationGroupsConfig(datasets.BuilderConfig):
-    def __init__(self, *args, group_name=None, group_degree=None, group_order=None, data_dir=None, **kwargs):
+    def __init__(self, *args, group_name=None, group_degree=None, group_order=None, data_dir=None, max_len=None, **kwargs):
         super().__init__(*args, **kwargs)
         self.group_name = group_name
         self.group_degree = group_degree
         self.group_order = group_order
         self.data_dir = data_dir
+        self.max_len = max_len
 
 class PermutationGroups(datasets.ArrowBasedBuilder):
     """Use ArrowBasedBuilder for better performance with Arrow files."""
     
-    VERSION = datasets.Version("1.0.0")
+    VERSION = datasets.Version("2.0.0")
 
     BUILDER_CONFIGS = [
         PermutationGroupsConfig(
             name="s3_data",
-            description="Permutation Composition Dataset for the Symmetric Group S3.",
+            description="Symmetric Group S3 (order 6).",
             group_name="S3",
             group_degree=3,
             group_order=6,
@@ -31,7 +32,7 @@ class PermutationGroups(datasets.ArrowBasedBuilder):
         ),
         PermutationGroupsConfig(
             name="s4_data",
-            description="Permutation Composition Dataset for the Symmetric Group S4.",
+            description="Symmetric Group S4 (order 24).",
             group_name="S4",
             group_degree=4,
             group_order=24,
@@ -39,7 +40,7 @@ class PermutationGroups(datasets.ArrowBasedBuilder):
         ),
         PermutationGroupsConfig(
             name="s5_data",
-            description="Permutation Composition Dataset for the Symmetric Group S5.",
+            description="Symmetric Group S5 (order 120).",
             group_name="S5",
             group_degree=5,
             group_order=120,
@@ -47,7 +48,7 @@ class PermutationGroups(datasets.ArrowBasedBuilder):
         ),
         PermutationGroupsConfig(
             name="s6_data",
-            description="Permutation Composition Dataset for the Symmetric Group S6.",
+            description="Symmetric Group S6 (order 720).",
             group_name="S6",
             group_degree=6,
             group_order=720,
@@ -55,7 +56,7 @@ class PermutationGroups(datasets.ArrowBasedBuilder):
         ),
         PermutationGroupsConfig(
             name="s7_data",
-            description="Permutation Composition Dataset for the Symmetric Group S7.",
+            description="Symmetric Group S7 (order 5040).",
             group_name="S7",
             group_degree=7,
             group_order=5040,
@@ -63,7 +64,7 @@ class PermutationGroups(datasets.ArrowBasedBuilder):
         ),
         PermutationGroupsConfig(
             name="a3_data",
-            description="Permutation Composition Dataset for the Alternating Group A3.",
+            description="Alternating Group A3 (order 3).",
             group_name="A3",
             group_degree=3,
             group_order=3,
@@ -71,7 +72,7 @@ class PermutationGroups(datasets.ArrowBasedBuilder):
         ),
         PermutationGroupsConfig(
             name="a4_data",
-            description="Permutation Composition Dataset for the Alternating Group A4.",
+            description="Alternating Group A4 (order 12).",
             group_name="A4",
             group_degree=4,
             group_order=12,
@@ -79,7 +80,7 @@ class PermutationGroups(datasets.ArrowBasedBuilder):
         ),
         PermutationGroupsConfig(
             name="a5_data",
-            description="Permutation Composition Dataset for the Alternating Group A5.",
+            description="Alternating Group A5 (order 60).",
             group_name="A5",
             group_degree=5,
             group_order=60,
@@ -87,7 +88,7 @@ class PermutationGroups(datasets.ArrowBasedBuilder):
         ),
         PermutationGroupsConfig(
             name="a6_data",
-            description="Permutation Composition Dataset for the Alternating Group A6.",
+            description="Alternating Group A6 (order 360).",
             group_name="A6",
             group_degree=6,
             group_order=360,
@@ -95,19 +96,1574 @@ class PermutationGroups(datasets.ArrowBasedBuilder):
         ),
         PermutationGroupsConfig(
             name="a7_data",
-            description="Permutation Composition Dataset for the Alternating Group A7.",
+            description="Alternating Group A7 (order 2520).",
             group_name="A7",
             group_degree=7,
             group_order=2520,
             data_dir="data/a7_data",
         ),
+        PermutationGroupsConfig(
+            name="c3_data",
+            description="Cyclic Group C3 (order 3).",
+            group_name="C3",
+            group_degree=3,
+            group_order=3,
+            data_dir="data/c3_data",
+        ),
+        PermutationGroupsConfig(
+            name="c4_data",
+            description="Cyclic Group C4 (order 4).",
+            group_name="C4",
+            group_degree=4,
+            group_order=4,
+            data_dir="data/c4_data",
+        ),
+        PermutationGroupsConfig(
+            name="c5_data",
+            description="Cyclic Group C5 (order 5).",
+            group_name="C5",
+            group_degree=5,
+            group_order=5,
+            data_dir="data/c5_data",
+        ),
+        PermutationGroupsConfig(
+            name="c6_data",
+            description="Cyclic Group C6 (order 6).",
+            group_name="C6",
+            group_degree=6,
+            group_order=6,
+            data_dir="data/c6_data",
+        ),
+        PermutationGroupsConfig(
+            name="c7_data",
+            description="Cyclic Group C7 (order 7).",
+            group_name="C7",
+            group_degree=7,
+            group_order=7,
+            data_dir="data/c7_data",
+        ),
+        PermutationGroupsConfig(
+            name="c8_data",
+            description="Cyclic Group C8 (order 8).",
+            group_name="C8",
+            group_degree=8,
+            group_order=8,
+            data_dir="data/c8_data",
+        ),
+        PermutationGroupsConfig(
+            name="c10_data",
+            description="Cyclic Group C10 (order 10).",
+            group_name="C10",
+            group_degree=10,
+            group_order=10,
+            data_dir="data/c10_data",
+        ),
+        PermutationGroupsConfig(
+            name="c12_data",
+            description="Cyclic Group C12 (order 12).",
+            group_name="C12",
+            group_degree=12,
+            group_order=12,
+            data_dir="data/c12_data",
+        ),
+        PermutationGroupsConfig(
+            name="z3_data",
+            description="Cyclic Group Z3 (order 3).",
+            group_name="Z3",
+            group_degree=3,
+            group_order=3,
+            data_dir="data/z3_data",
+        ),
+        PermutationGroupsConfig(
+            name="z4_data",
+            description="Cyclic Group Z4 (order 4).",
+            group_name="Z4",
+            group_degree=4,
+            group_order=4,
+            data_dir="data/z4_data",
+        ),
+        PermutationGroupsConfig(
+            name="z5_data",
+            description="Cyclic Group Z5 (order 5).",
+            group_name="Z5",
+            group_degree=5,
+            group_order=5,
+            data_dir="data/z5_data",
+        ),
+        PermutationGroupsConfig(
+            name="z6_data",
+            description="Cyclic Group Z6 (order 6).",
+            group_name="Z6",
+            group_degree=6,
+            group_order=6,
+            data_dir="data/z6_data",
+        ),
+        PermutationGroupsConfig(
+            name="d3_data",
+            description="Dihedral Group D3 (order 6).",
+            group_name="D3",
+            group_degree=3,
+            group_order=6,
+            data_dir="data/d3_data",
+        ),
+        PermutationGroupsConfig(
+            name="d4_data",
+            description="Dihedral Group D4 (order 8).",
+            group_name="D4",
+            group_degree=4,
+            group_order=8,
+            data_dir="data/d4_data",
+        ),
+        PermutationGroupsConfig(
+            name="d5_data",
+            description="Dihedral Group D5 (order 10).",
+            group_name="D5",
+            group_degree=5,
+            group_order=10,
+            data_dir="data/d5_data",
+        ),
+        PermutationGroupsConfig(
+            name="d6_data",
+            description="Dihedral Group D6 (order 12).",
+            group_name="D6",
+            group_degree=6,
+            group_order=12,
+            data_dir="data/d6_data",
+        ),
+        PermutationGroupsConfig(
+            name="d7_data",
+            description="Dihedral Group D7 (order 14).",
+            group_name="D7",
+            group_degree=7,
+            group_order=14,
+            data_dir="data/d7_data",
+        ),
+        PermutationGroupsConfig(
+            name="d8_data",
+            description="Dihedral Group D8 (order 16).",
+            group_name="D8",
+            group_degree=8,
+            group_order=16,
+            data_dir="data/d8_data",
+        ),
+        PermutationGroupsConfig(
+            name="psl25_data",
+            description="PSL Group PSL25 (order 60).",
+            group_name="PSL25",
+            group_degree=6,
+            group_order=60,
+            data_dir="data/psl25_data",
+        ),
+        PermutationGroupsConfig(
+            name="f20_data",
+            description="Frobenius Group F20 (order 20).",
+            group_name="F20",
+            group_degree=5,
+            group_order=20,
+            data_dir="data/f20_data",
+        ),
+        PermutationGroupsConfig(
+            name="s3_len10",
+            description="Symmetric Group S3 (max_len=10).",
+            group_name="S3",
+            group_degree=3,
+            group_order=6,
+            data_dir="data/s3_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="s4_len10",
+            description="Symmetric Group S4 (max_len=10).",
+            group_name="S4",
+            group_degree=4,
+            group_order=24,
+            data_dir="data/s4_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="s5_len10",
+            description="Symmetric Group S5 (max_len=10).",
+            group_name="S5",
+            group_degree=5,
+            group_order=120,
+            data_dir="data/s5_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="s6_len10",
+            description="Symmetric Group S6 (max_len=10).",
+            group_name="S6",
+            group_degree=6,
+            group_order=720,
+            data_dir="data/s6_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="s7_len10",
+            description="Symmetric Group S7 (max_len=10).",
+            group_name="S7",
+            group_degree=7,
+            group_order=5040,
+            data_dir="data/s7_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="a3_len10",
+            description="Alternating Group A3 (max_len=10).",
+            group_name="A3",
+            group_degree=3,
+            group_order=3,
+            data_dir="data/a3_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="a4_len10",
+            description="Alternating Group A4 (max_len=10).",
+            group_name="A4",
+            group_degree=4,
+            group_order=12,
+            data_dir="data/a4_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="a5_len10",
+            description="Alternating Group A5 (max_len=10).",
+            group_name="A5",
+            group_degree=5,
+            group_order=60,
+            data_dir="data/a5_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="a6_len10",
+            description="Alternating Group A6 (max_len=10).",
+            group_name="A6",
+            group_degree=6,
+            group_order=360,
+            data_dir="data/a6_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="a7_len10",
+            description="Alternating Group A7 (max_len=10).",
+            group_name="A7",
+            group_degree=7,
+            group_order=2520,
+            data_dir="data/a7_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="c3_len10",
+            description="Cyclic Group C3 (max_len=10).",
+            group_name="C3",
+            group_degree=3,
+            group_order=3,
+            data_dir="data/c3_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="c4_len10",
+            description="Cyclic Group C4 (max_len=10).",
+            group_name="C4",
+            group_degree=4,
+            group_order=4,
+            data_dir="data/c4_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="c5_len10",
+            description="Cyclic Group C5 (max_len=10).",
+            group_name="C5",
+            group_degree=5,
+            group_order=5,
+            data_dir="data/c5_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="c6_len10",
+            description="Cyclic Group C6 (max_len=10).",
+            group_name="C6",
+            group_degree=6,
+            group_order=6,
+            data_dir="data/c6_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="c7_len10",
+            description="Cyclic Group C7 (max_len=10).",
+            group_name="C7",
+            group_degree=7,
+            group_order=7,
+            data_dir="data/c7_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="c8_len10",
+            description="Cyclic Group C8 (max_len=10).",
+            group_name="C8",
+            group_degree=8,
+            group_order=8,
+            data_dir="data/c8_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="c10_len10",
+            description="Cyclic Group C10 (max_len=10).",
+            group_name="C10",
+            group_degree=10,
+            group_order=10,
+            data_dir="data/c10_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="c12_len10",
+            description="Cyclic Group C12 (max_len=10).",
+            group_name="C12",
+            group_degree=12,
+            group_order=12,
+            data_dir="data/c12_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="z3_len10",
+            description="Cyclic Group Z3 (max_len=10).",
+            group_name="Z3",
+            group_degree=3,
+            group_order=3,
+            data_dir="data/z3_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="z4_len10",
+            description="Cyclic Group Z4 (max_len=10).",
+            group_name="Z4",
+            group_degree=4,
+            group_order=4,
+            data_dir="data/z4_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="z5_len10",
+            description="Cyclic Group Z5 (max_len=10).",
+            group_name="Z5",
+            group_degree=5,
+            group_order=5,
+            data_dir="data/z5_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="z6_len10",
+            description="Cyclic Group Z6 (max_len=10).",
+            group_name="Z6",
+            group_degree=6,
+            group_order=6,
+            data_dir="data/z6_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="d3_len10",
+            description="Dihedral Group D3 (max_len=10).",
+            group_name="D3",
+            group_degree=3,
+            group_order=6,
+            data_dir="data/d3_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="d4_len10",
+            description="Dihedral Group D4 (max_len=10).",
+            group_name="D4",
+            group_degree=4,
+            group_order=8,
+            data_dir="data/d4_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="d5_len10",
+            description="Dihedral Group D5 (max_len=10).",
+            group_name="D5",
+            group_degree=5,
+            group_order=10,
+            data_dir="data/d5_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="d6_len10",
+            description="Dihedral Group D6 (max_len=10).",
+            group_name="D6",
+            group_degree=6,
+            group_order=12,
+            data_dir="data/d6_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="d7_len10",
+            description="Dihedral Group D7 (max_len=10).",
+            group_name="D7",
+            group_degree=7,
+            group_order=14,
+            data_dir="data/d7_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="d8_len10",
+            description="Dihedral Group D8 (max_len=10).",
+            group_name="D8",
+            group_degree=8,
+            group_order=16,
+            data_dir="data/d8_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="psl25_len10",
+            description="PSL Group PSL25 (max_len=10).",
+            group_name="PSL25",
+            group_degree=6,
+            group_order=60,
+            data_dir="data/psl25_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="f20_len10",
+            description="Frobenius Group F20 (max_len=10).",
+            group_name="F20",
+            group_degree=5,
+            group_order=20,
+            data_dir="data/f20_data_len10",
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="s3_len20",
+            description="Symmetric Group S3 (max_len=20).",
+            group_name="S3",
+            group_degree=3,
+            group_order=6,
+            data_dir="data/s3_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="s4_len20",
+            description="Symmetric Group S4 (max_len=20).",
+            group_name="S4",
+            group_degree=4,
+            group_order=24,
+            data_dir="data/s4_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="s5_len20",
+            description="Symmetric Group S5 (max_len=20).",
+            group_name="S5",
+            group_degree=5,
+            group_order=120,
+            data_dir="data/s5_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="s6_len20",
+            description="Symmetric Group S6 (max_len=20).",
+            group_name="S6",
+            group_degree=6,
+            group_order=720,
+            data_dir="data/s6_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="s7_len20",
+            description="Symmetric Group S7 (max_len=20).",
+            group_name="S7",
+            group_degree=7,
+            group_order=5040,
+            data_dir="data/s7_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="a3_len20",
+            description="Alternating Group A3 (max_len=20).",
+            group_name="A3",
+            group_degree=3,
+            group_order=3,
+            data_dir="data/a3_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="a4_len20",
+            description="Alternating Group A4 (max_len=20).",
+            group_name="A4",
+            group_degree=4,
+            group_order=12,
+            data_dir="data/a4_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="a5_len20",
+            description="Alternating Group A5 (max_len=20).",
+            group_name="A5",
+            group_degree=5,
+            group_order=60,
+            data_dir="data/a5_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="a6_len20",
+            description="Alternating Group A6 (max_len=20).",
+            group_name="A6",
+            group_degree=6,
+            group_order=360,
+            data_dir="data/a6_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="a7_len20",
+            description="Alternating Group A7 (max_len=20).",
+            group_name="A7",
+            group_degree=7,
+            group_order=2520,
+            data_dir="data/a7_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="c3_len20",
+            description="Cyclic Group C3 (max_len=20).",
+            group_name="C3",
+            group_degree=3,
+            group_order=3,
+            data_dir="data/c3_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="c4_len20",
+            description="Cyclic Group C4 (max_len=20).",
+            group_name="C4",
+            group_degree=4,
+            group_order=4,
+            data_dir="data/c4_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="c5_len20",
+            description="Cyclic Group C5 (max_len=20).",
+            group_name="C5",
+            group_degree=5,
+            group_order=5,
+            data_dir="data/c5_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="c6_len20",
+            description="Cyclic Group C6 (max_len=20).",
+            group_name="C6",
+            group_degree=6,
+            group_order=6,
+            data_dir="data/c6_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="c7_len20",
+            description="Cyclic Group C7 (max_len=20).",
+            group_name="C7",
+            group_degree=7,
+            group_order=7,
+            data_dir="data/c7_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="c8_len20",
+            description="Cyclic Group C8 (max_len=20).",
+            group_name="C8",
+            group_degree=8,
+            group_order=8,
+            data_dir="data/c8_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="c10_len20",
+            description="Cyclic Group C10 (max_len=20).",
+            group_name="C10",
+            group_degree=10,
+            group_order=10,
+            data_dir="data/c10_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="c12_len20",
+            description="Cyclic Group C12 (max_len=20).",
+            group_name="C12",
+            group_degree=12,
+            group_order=12,
+            data_dir="data/c12_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="z3_len20",
+            description="Cyclic Group Z3 (max_len=20).",
+            group_name="Z3",
+            group_degree=3,
+            group_order=3,
+            data_dir="data/z3_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="z4_len20",
+            description="Cyclic Group Z4 (max_len=20).",
+            group_name="Z4",
+            group_degree=4,
+            group_order=4,
+            data_dir="data/z4_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="z5_len20",
+            description="Cyclic Group Z5 (max_len=20).",
+            group_name="Z5",
+            group_degree=5,
+            group_order=5,
+            data_dir="data/z5_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="z6_len20",
+            description="Cyclic Group Z6 (max_len=20).",
+            group_name="Z6",
+            group_degree=6,
+            group_order=6,
+            data_dir="data/z6_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="d3_len20",
+            description="Dihedral Group D3 (max_len=20).",
+            group_name="D3",
+            group_degree=3,
+            group_order=6,
+            data_dir="data/d3_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="d4_len20",
+            description="Dihedral Group D4 (max_len=20).",
+            group_name="D4",
+            group_degree=4,
+            group_order=8,
+            data_dir="data/d4_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="d5_len20",
+            description="Dihedral Group D5 (max_len=20).",
+            group_name="D5",
+            group_degree=5,
+            group_order=10,
+            data_dir="data/d5_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="d6_len20",
+            description="Dihedral Group D6 (max_len=20).",
+            group_name="D6",
+            group_degree=6,
+            group_order=12,
+            data_dir="data/d6_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="d7_len20",
+            description="Dihedral Group D7 (max_len=20).",
+            group_name="D7",
+            group_degree=7,
+            group_order=14,
+            data_dir="data/d7_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="d8_len20",
+            description="Dihedral Group D8 (max_len=20).",
+            group_name="D8",
+            group_degree=8,
+            group_order=16,
+            data_dir="data/d8_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="psl25_len20",
+            description="PSL Group PSL25 (max_len=20).",
+            group_name="PSL25",
+            group_degree=6,
+            group_order=60,
+            data_dir="data/psl25_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="f20_len20",
+            description="Frobenius Group F20 (max_len=20).",
+            group_name="F20",
+            group_degree=5,
+            group_order=20,
+            data_dir="data/f20_data_len20",
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="s3_len30",
+            description="Symmetric Group S3 (max_len=30).",
+            group_name="S3",
+            group_degree=3,
+            group_order=6,
+            data_dir="data/s3_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="s4_len30",
+            description="Symmetric Group S4 (max_len=30).",
+            group_name="S4",
+            group_degree=4,
+            group_order=24,
+            data_dir="data/s4_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="s5_len30",
+            description="Symmetric Group S5 (max_len=30).",
+            group_name="S5",
+            group_degree=5,
+            group_order=120,
+            data_dir="data/s5_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="s6_len30",
+            description="Symmetric Group S6 (max_len=30).",
+            group_name="S6",
+            group_degree=6,
+            group_order=720,
+            data_dir="data/s6_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="s7_len30",
+            description="Symmetric Group S7 (max_len=30).",
+            group_name="S7",
+            group_degree=7,
+            group_order=5040,
+            data_dir="data/s7_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="a3_len30",
+            description="Alternating Group A3 (max_len=30).",
+            group_name="A3",
+            group_degree=3,
+            group_order=3,
+            data_dir="data/a3_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="a4_len30",
+            description="Alternating Group A4 (max_len=30).",
+            group_name="A4",
+            group_degree=4,
+            group_order=12,
+            data_dir="data/a4_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="a5_len30",
+            description="Alternating Group A5 (max_len=30).",
+            group_name="A5",
+            group_degree=5,
+            group_order=60,
+            data_dir="data/a5_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="a6_len30",
+            description="Alternating Group A6 (max_len=30).",
+            group_name="A6",
+            group_degree=6,
+            group_order=360,
+            data_dir="data/a6_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="a7_len30",
+            description="Alternating Group A7 (max_len=30).",
+            group_name="A7",
+            group_degree=7,
+            group_order=2520,
+            data_dir="data/a7_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="c3_len30",
+            description="Cyclic Group C3 (max_len=30).",
+            group_name="C3",
+            group_degree=3,
+            group_order=3,
+            data_dir="data/c3_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="c4_len30",
+            description="Cyclic Group C4 (max_len=30).",
+            group_name="C4",
+            group_degree=4,
+            group_order=4,
+            data_dir="data/c4_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="c5_len30",
+            description="Cyclic Group C5 (max_len=30).",
+            group_name="C5",
+            group_degree=5,
+            group_order=5,
+            data_dir="data/c5_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="c6_len30",
+            description="Cyclic Group C6 (max_len=30).",
+            group_name="C6",
+            group_degree=6,
+            group_order=6,
+            data_dir="data/c6_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="c7_len30",
+            description="Cyclic Group C7 (max_len=30).",
+            group_name="C7",
+            group_degree=7,
+            group_order=7,
+            data_dir="data/c7_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="c8_len30",
+            description="Cyclic Group C8 (max_len=30).",
+            group_name="C8",
+            group_degree=8,
+            group_order=8,
+            data_dir="data/c8_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="c10_len30",
+            description="Cyclic Group C10 (max_len=30).",
+            group_name="C10",
+            group_degree=10,
+            group_order=10,
+            data_dir="data/c10_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="c12_len30",
+            description="Cyclic Group C12 (max_len=30).",
+            group_name="C12",
+            group_degree=12,
+            group_order=12,
+            data_dir="data/c12_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="z3_len30",
+            description="Cyclic Group Z3 (max_len=30).",
+            group_name="Z3",
+            group_degree=3,
+            group_order=3,
+            data_dir="data/z3_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="z4_len30",
+            description="Cyclic Group Z4 (max_len=30).",
+            group_name="Z4",
+            group_degree=4,
+            group_order=4,
+            data_dir="data/z4_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="z5_len30",
+            description="Cyclic Group Z5 (max_len=30).",
+            group_name="Z5",
+            group_degree=5,
+            group_order=5,
+            data_dir="data/z5_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="z6_len30",
+            description="Cyclic Group Z6 (max_len=30).",
+            group_name="Z6",
+            group_degree=6,
+            group_order=6,
+            data_dir="data/z6_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="d3_len30",
+            description="Dihedral Group D3 (max_len=30).",
+            group_name="D3",
+            group_degree=3,
+            group_order=6,
+            data_dir="data/d3_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="d4_len30",
+            description="Dihedral Group D4 (max_len=30).",
+            group_name="D4",
+            group_degree=4,
+            group_order=8,
+            data_dir="data/d4_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="d5_len30",
+            description="Dihedral Group D5 (max_len=30).",
+            group_name="D5",
+            group_degree=5,
+            group_order=10,
+            data_dir="data/d5_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="d6_len30",
+            description="Dihedral Group D6 (max_len=30).",
+            group_name="D6",
+            group_degree=6,
+            group_order=12,
+            data_dir="data/d6_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="d7_len30",
+            description="Dihedral Group D7 (max_len=30).",
+            group_name="D7",
+            group_degree=7,
+            group_order=14,
+            data_dir="data/d7_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="d8_len30",
+            description="Dihedral Group D8 (max_len=30).",
+            group_name="D8",
+            group_degree=8,
+            group_order=16,
+            data_dir="data/d8_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="psl25_len30",
+            description="PSL Group PSL25 (max_len=30).",
+            group_name="PSL25",
+            group_degree=6,
+            group_order=60,
+            data_dir="data/psl25_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="f20_len30",
+            description="Frobenius Group F20 (max_len=30).",
+            group_name="F20",
+            group_degree=5,
+            group_order=20,
+            data_dir="data/f20_data_len30",
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="s3_len100",
+            description="Symmetric Group S3 (max_len=100).",
+            group_name="S3",
+            group_degree=3,
+            group_order=6,
+            data_dir="data/s3_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="s4_len100",
+            description="Symmetric Group S4 (max_len=100).",
+            group_name="S4",
+            group_degree=4,
+            group_order=24,
+            data_dir="data/s4_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="s5_len100",
+            description="Symmetric Group S5 (max_len=100).",
+            group_name="S5",
+            group_degree=5,
+            group_order=120,
+            data_dir="data/s5_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="s6_len100",
+            description="Symmetric Group S6 (max_len=100).",
+            group_name="S6",
+            group_degree=6,
+            group_order=720,
+            data_dir="data/s6_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="s7_len100",
+            description="Symmetric Group S7 (max_len=100).",
+            group_name="S7",
+            group_degree=7,
+            group_order=5040,
+            data_dir="data/s7_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="a3_len100",
+            description="Alternating Group A3 (max_len=100).",
+            group_name="A3",
+            group_degree=3,
+            group_order=3,
+            data_dir="data/a3_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="a4_len100",
+            description="Alternating Group A4 (max_len=100).",
+            group_name="A4",
+            group_degree=4,
+            group_order=12,
+            data_dir="data/a4_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="a5_len100",
+            description="Alternating Group A5 (max_len=100).",
+            group_name="A5",
+            group_degree=5,
+            group_order=60,
+            data_dir="data/a5_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="a6_len100",
+            description="Alternating Group A6 (max_len=100).",
+            group_name="A6",
+            group_degree=6,
+            group_order=360,
+            data_dir="data/a6_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="a7_len100",
+            description="Alternating Group A7 (max_len=100).",
+            group_name="A7",
+            group_degree=7,
+            group_order=2520,
+            data_dir="data/a7_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="c3_len100",
+            description="Cyclic Group C3 (max_len=100).",
+            group_name="C3",
+            group_degree=3,
+            group_order=3,
+            data_dir="data/c3_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="c4_len100",
+            description="Cyclic Group C4 (max_len=100).",
+            group_name="C4",
+            group_degree=4,
+            group_order=4,
+            data_dir="data/c4_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="c5_len100",
+            description="Cyclic Group C5 (max_len=100).",
+            group_name="C5",
+            group_degree=5,
+            group_order=5,
+            data_dir="data/c5_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="c6_len100",
+            description="Cyclic Group C6 (max_len=100).",
+            group_name="C6",
+            group_degree=6,
+            group_order=6,
+            data_dir="data/c6_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="c7_len100",
+            description="Cyclic Group C7 (max_len=100).",
+            group_name="C7",
+            group_degree=7,
+            group_order=7,
+            data_dir="data/c7_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="c8_len100",
+            description="Cyclic Group C8 (max_len=100).",
+            group_name="C8",
+            group_degree=8,
+            group_order=8,
+            data_dir="data/c8_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="c10_len100",
+            description="Cyclic Group C10 (max_len=100).",
+            group_name="C10",
+            group_degree=10,
+            group_order=10,
+            data_dir="data/c10_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="c12_len100",
+            description="Cyclic Group C12 (max_len=100).",
+            group_name="C12",
+            group_degree=12,
+            group_order=12,
+            data_dir="data/c12_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="z3_len100",
+            description="Cyclic Group Z3 (max_len=100).",
+            group_name="Z3",
+            group_degree=3,
+            group_order=3,
+            data_dir="data/z3_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="z4_len100",
+            description="Cyclic Group Z4 (max_len=100).",
+            group_name="Z4",
+            group_degree=4,
+            group_order=4,
+            data_dir="data/z4_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="z5_len100",
+            description="Cyclic Group Z5 (max_len=100).",
+            group_name="Z5",
+            group_degree=5,
+            group_order=5,
+            data_dir="data/z5_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="z6_len100",
+            description="Cyclic Group Z6 (max_len=100).",
+            group_name="Z6",
+            group_degree=6,
+            group_order=6,
+            data_dir="data/z6_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="d3_len100",
+            description="Dihedral Group D3 (max_len=100).",
+            group_name="D3",
+            group_degree=3,
+            group_order=6,
+            data_dir="data/d3_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="d4_len100",
+            description="Dihedral Group D4 (max_len=100).",
+            group_name="D4",
+            group_degree=4,
+            group_order=8,
+            data_dir="data/d4_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="d5_len100",
+            description="Dihedral Group D5 (max_len=100).",
+            group_name="D5",
+            group_degree=5,
+            group_order=10,
+            data_dir="data/d5_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="d6_len100",
+            description="Dihedral Group D6 (max_len=100).",
+            group_name="D6",
+            group_degree=6,
+            group_order=12,
+            data_dir="data/d6_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="d7_len100",
+            description="Dihedral Group D7 (max_len=100).",
+            group_name="D7",
+            group_degree=7,
+            group_order=14,
+            data_dir="data/d7_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="d8_len100",
+            description="Dihedral Group D8 (max_len=100).",
+            group_name="D8",
+            group_degree=8,
+            group_order=16,
+            data_dir="data/d8_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="psl25_len100",
+            description="PSL Group PSL25 (max_len=100).",
+            group_name="PSL25",
+            group_degree=6,
+            group_order=60,
+            data_dir="data/psl25_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="f20_len100",
+            description="Frobenius Group F20 (max_len=100).",
+            group_name="F20",
+            group_degree=5,
+            group_order=20,
+            data_dir="data/f20_data_len100",
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="s3_len512",
+            description="Symmetric Group S3 (max_len=512).",
+            group_name="S3",
+            group_degree=3,
+            group_order=6,
+            data_dir="data/s3_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="s4_len512",
+            description="Symmetric Group S4 (max_len=512).",
+            group_name="S4",
+            group_degree=4,
+            group_order=24,
+            data_dir="data/s4_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="s5_len512",
+            description="Symmetric Group S5 (max_len=512).",
+            group_name="S5",
+            group_degree=5,
+            group_order=120,
+            data_dir="data/s5_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="s6_len512",
+            description="Symmetric Group S6 (max_len=512).",
+            group_name="S6",
+            group_degree=6,
+            group_order=720,
+            data_dir="data/s6_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="s7_len512",
+            description="Symmetric Group S7 (max_len=512).",
+            group_name="S7",
+            group_degree=7,
+            group_order=5040,
+            data_dir="data/s7_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="a3_len512",
+            description="Alternating Group A3 (max_len=512).",
+            group_name="A3",
+            group_degree=3,
+            group_order=3,
+            data_dir="data/a3_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="a4_len512",
+            description="Alternating Group A4 (max_len=512).",
+            group_name="A4",
+            group_degree=4,
+            group_order=12,
+            data_dir="data/a4_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="a5_len512",
+            description="Alternating Group A5 (max_len=512).",
+            group_name="A5",
+            group_degree=5,
+            group_order=60,
+            data_dir="data/a5_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="a6_len512",
+            description="Alternating Group A6 (max_len=512).",
+            group_name="A6",
+            group_degree=6,
+            group_order=360,
+            data_dir="data/a6_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="a7_len512",
+            description="Alternating Group A7 (max_len=512).",
+            group_name="A7",
+            group_degree=7,
+            group_order=2520,
+            data_dir="data/a7_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="c3_len512",
+            description="Cyclic Group C3 (max_len=512).",
+            group_name="C3",
+            group_degree=3,
+            group_order=3,
+            data_dir="data/c3_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="c4_len512",
+            description="Cyclic Group C4 (max_len=512).",
+            group_name="C4",
+            group_degree=4,
+            group_order=4,
+            data_dir="data/c4_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="c5_len512",
+            description="Cyclic Group C5 (max_len=512).",
+            group_name="C5",
+            group_degree=5,
+            group_order=5,
+            data_dir="data/c5_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="c6_len512",
+            description="Cyclic Group C6 (max_len=512).",
+            group_name="C6",
+            group_degree=6,
+            group_order=6,
+            data_dir="data/c6_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="c7_len512",
+            description="Cyclic Group C7 (max_len=512).",
+            group_name="C7",
+            group_degree=7,
+            group_order=7,
+            data_dir="data/c7_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="c8_len512",
+            description="Cyclic Group C8 (max_len=512).",
+            group_name="C8",
+            group_degree=8,
+            group_order=8,
+            data_dir="data/c8_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="c10_len512",
+            description="Cyclic Group C10 (max_len=512).",
+            group_name="C10",
+            group_degree=10,
+            group_order=10,
+            data_dir="data/c10_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="c12_len512",
+            description="Cyclic Group C12 (max_len=512).",
+            group_name="C12",
+            group_degree=12,
+            group_order=12,
+            data_dir="data/c12_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="z3_len512",
+            description="Cyclic Group Z3 (max_len=512).",
+            group_name="Z3",
+            group_degree=3,
+            group_order=3,
+            data_dir="data/z3_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="z4_len512",
+            description="Cyclic Group Z4 (max_len=512).",
+            group_name="Z4",
+            group_degree=4,
+            group_order=4,
+            data_dir="data/z4_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="z5_len512",
+            description="Cyclic Group Z5 (max_len=512).",
+            group_name="Z5",
+            group_degree=5,
+            group_order=5,
+            data_dir="data/z5_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="z6_len512",
+            description="Cyclic Group Z6 (max_len=512).",
+            group_name="Z6",
+            group_degree=6,
+            group_order=6,
+            data_dir="data/z6_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="d3_len512",
+            description="Dihedral Group D3 (max_len=512).",
+            group_name="D3",
+            group_degree=3,
+            group_order=6,
+            data_dir="data/d3_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="d4_len512",
+            description="Dihedral Group D4 (max_len=512).",
+            group_name="D4",
+            group_degree=4,
+            group_order=8,
+            data_dir="data/d4_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="d5_len512",
+            description="Dihedral Group D5 (max_len=512).",
+            group_name="D5",
+            group_degree=5,
+            group_order=10,
+            data_dir="data/d5_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="d6_len512",
+            description="Dihedral Group D6 (max_len=512).",
+            group_name="D6",
+            group_degree=6,
+            group_order=12,
+            data_dir="data/d6_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="d7_len512",
+            description="Dihedral Group D7 (max_len=512).",
+            group_name="D7",
+            group_degree=7,
+            group_order=14,
+            data_dir="data/d7_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="d8_len512",
+            description="Dihedral Group D8 (max_len=512).",
+            group_name="D8",
+            group_degree=8,
+            group_order=16,
+            data_dir="data/d8_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="psl25_len512",
+            description="PSL Group PSL25 (max_len=512).",
+            group_name="PSL25",
+            group_degree=6,
+            group_order=60,
+            data_dir="data/psl25_data_len512",
+            max_len=512,
+        ),
+        PermutationGroupsConfig(
+            name="f20_len512",
+            description="Frobenius Group F20 (max_len=512).",
+            group_name="F20",
+            group_degree=5,
+            group_order=20,
+            data_dir="data/f20_data_len512",
+            max_len=512,
+        ),
         PermutationGroupsConfig(
             name="all",
-            description="All Permutation Composition Datasets (S3-S7 and A3-A7).",
+            description="All Permutation Composition Datasets.",
+            group_name="All",
+            group_degree=None,
+            group_order=None,
+            data_dir=None,
+        ),
+        PermutationGroupsConfig(
+            name="all_len10",
+            description="All Groups (max_len=10).",
+            group_name="All",
+            group_degree=None,
+            group_order=None,
+            data_dir=None,
+            max_len=10,
+        ),
+        PermutationGroupsConfig(
+            name="all_len20",
+            description="All Groups (max_len=20).",
+            group_name="All",
+            group_degree=None,
+            group_order=None,
+            data_dir=None,
+            max_len=20,
+        ),
+        PermutationGroupsConfig(
+            name="all_len30",
+            description="All Groups (max_len=30).",
+            group_name="All",
+            group_degree=None,
+            group_order=None,
+            data_dir=None,
+            max_len=30,
+        ),
+        PermutationGroupsConfig(
+            name="all_len100",
+            description="All Groups (max_len=100).",
+            group_name="All",
+            group_degree=None,
+            group_order=None,
+            data_dir=None,
+            max_len=100,
+        ),
+        PermutationGroupsConfig(
+            name="all_len512",
+            description="All Groups (max_len=512).",
             group_name="All",
             group_degree=None,
             group_order=None,
-            data_dir=None,  # Special handling for 'all'
+            data_dir=None,
+            max_len=512,
         ),
     ]
 
@@ -125,11 +1681,16 @@ class PermutationGroups(datasets.ArrowBasedBuilder):
         )
 
     def _split_generators(self, dl_manager):
-        # Handle the "all" configuration specially
-        if self.config.name == "all":
-            # Get all individual dataset configurations
-            all_configs = ["s3_data", "s4_data", "s5_data", "s6_data", "s7_data", 
-                          "a3_data", "a4_data", "a5_data", "a6_data", "a7_data"]
+        # Handle the "all" configurations
+        if self.config.name.startswith("all"):
+            # Determine which groups to include
+            if self.config.name == "all":
+                # Original all - just the base configs
+                all_configs = [f"{g.lower()}_data" for g in ['S3', 'S4', 'S5', 'S6', 'S7', 'A3', 'A4', 'A5', 'A6', 'A7', 'C3', 'C4', 'C5', 'C6', 'C7', 'C8', 'C10', 'C12', 'Z3', 'Z4', 'Z5', 'Z6', 'D3', 'D4', 'D5', 'D6', 'D7', 'D8', 'PSL25', 'F20']]
+            else:
+                # Length-specific all
+                length = self.config.max_len
+                all_configs = [f"{g.lower()}_len{length}" for g in ['S3', 'S4', 'S5', 'S6', 'S7', 'A3', 'A4', 'A5', 'A6', 'A7', 'C3', 'C4', 'C5', 'C6', 'C7', 'C8', 'C10', 'C12', 'Z3', 'Z4', 'Z5', 'Z6', 'D3', 'D4', 'D5', 'D6', 'D7', 'D8', 'PSL25', 'F20']]
             
             # Download all arrow files
             train_files = []
@@ -140,9 +1701,13 @@ class PermutationGroups(datasets.ArrowBasedBuilder):
                     "train": f"data/{config}/train/data-00000-of-00001.arrow",
                     "test": f"data/{config}/test/data-00000-of-00001.arrow",
                 }
-                downloaded = dl_manager.download(data_urls)
-                train_files.append(downloaded["train"])
-                test_files.append(downloaded["test"])
+                try:
+                    downloaded = dl_manager.download(data_urls)
+                    train_files.append(downloaded["train"])
+                    test_files.append(downloaded["test"])
+                except:
+                    # Skip if dataset doesn't exist
+                    pass
             
             return [
                 datasets.SplitGenerator(
@@ -160,10 +1725,9 @@ class PermutationGroups(datasets.ArrowBasedBuilder):
             ]
         else:
             # Single configuration
-            # Download the actual data files
             data_urls = {
-                "train": f"{self.config.data_dir}/train/data-00000-of-00001.arrow",
-                "test": f"{self.config.data_dir}/test/data-00000-of-00001.arrow",
+                "train": [f"{self.config.data_dir}/train/data-00000-of-00001.arrow"],
+                "test": [f"{self.config.data_dir}/test/data-00000-of-00001.arrow"],
             }
             
             downloaded_files = dl_manager.download(data_urls)
@@ -172,13 +1736,13 @@ class PermutationGroups(datasets.ArrowBasedBuilder):
                 datasets.SplitGenerator(
                     name=datasets.Split.TRAIN,
                     gen_kwargs={
-                        "files": [downloaded_files["train"]],
+                        "files": downloaded_files["train"],
                     },
                 ),
                 datasets.SplitGenerator(
                     name=datasets.Split.TEST,
                     gen_kwargs={
-                        "files": [downloaded_files["test"]],
+                        "files": downloaded_files["test"],
                     },
                 ),
             ]
@@ -190,4 +1754,4 @@ class PermutationGroups(datasets.ArrowBasedBuilder):
             dataset = datasets.Dataset.from_file(file)
             # Get the underlying Arrow table
             table = dataset.data.table
-            yield file_idx, table
+            yield file_idx, table