Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 12, 'aut_gen_orders': [6, 6, 6], 'aut_gens': [[24577758, 24507118, 1305911, 26172358, 2939606, 36731395, 29360962, 7355200], [7138662, 42578137, 4514243, 21796179, 2939606, 36731395, 39333690, 20477175], [24577758, 24454001, 21835277, 1382353, 37043725, 3105678, 30994657, 2790694], [24577758, 14357270, 41439590, 32715661, 37043725, 14800134, 3176070, 32425605]], 'aut_group': '3888.bu', 'aut_hash': 1539483115116172293, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 3888, 'aut_permdeg': 45, 'aut_perms': [24020974811706790400571645003192831298189342376996796553, 66214363141415540539436800121791560082208660800843975216, 10978273093979732576790359850102529189953183361754955354], 'aut_phi_ratio': 6.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 2, 1], [2, 27, 1, 2], [2, 27, 2, 1], [2, 81, 1, 1], [3, 2, 2, 1], [3, 4, 1, 1], [3, 6, 2, 1], [3, 12, 1, 1], [3, 12, 2, 1], [3, 18, 1, 1], [3, 24, 1, 1], [3, 36, 2, 1], [3, 72, 1, 1], [6, 18, 2, 1], [6, 54, 2, 6], [6, 108, 1, 2], [6, 108, 2, 2], [6, 162, 1, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^4:(S_3\\times D_4)', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '3888.bu', 'autcentquo_hash': 1539483115116172293, 'autcentquo_nilpotent': False, 'autcentquo_order': 3888, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^4:(S_3\\times D_4)', 'cc_stats': [[1, 1, 1], [2, 9, 2], [2, 27, 4], [2, 81, 1], [3, 2, 2], [3, 4, 1], [3, 6, 2], [3, 12, 3], [3, 18, 1], [3, 24, 1], [3, 36, 2], [3, 72, 1], [6, 18, 2], [6, 54, 12], [6, 108, 6], [6, 162, 1]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '1944.2342', 'commutator_count': 1, 'commutator_label': '243.37', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 2342, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 2], [2, 27, 1, 4], [2, 81, 1, 1], [3, 2, 1, 2], [3, 4, 1, 1], [3, 6, 1, 2], [3, 12, 1, 3], [3, 18, 1, 1], [3, 24, 1, 1], [3, 36, 1, 2], [3, 72, 1, 1], [6, 18, 1, 2], [6, 54, 1, 12], [6, 108, 1, 6], [6, 162, 1, 1]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 435456, 'exponent': 6, 'exponents_of_order': [5, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[12, 1, 2], [24, 1, 1]], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '216.162', 'hash': 2342, 'hyperelementary': 1, 'id': 319573, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [3, 3, 3, 6, 3, 3, 2, 2], 'inner_gens': [[24577758, 24507118, 1305911, 13089749, 2939606, 36731395, 33540338, 11534549], [24577758, 24507118, 5504967, 8640151, 2939606, 36731395, 29360962, 11607619], [24577758, 20327769, 1305911, 41400411, 2939606, 11537230, 1542375, 20477175], [43014227, 6973453, 29656017, 26172358, 32864349, 11225629, 8949766, 24676207], [24577758, 24507118, 1305911, 39825765, 2939606, 36731395, 4750707, 20477175], [24577758, 24507118, 41439590, 29363677, 2939606, 36731395, 29360962, 32870443], [20201582, 24507118, 29656017, 8733253, 32864349, 36731395, 29360962, 24676207], [20201582, 20254942, 31289712, 8733253, 32864349, 11225629, 26270773, 7355200]], 'inner_hash': 2342, 'inner_nilpotent': False, 'inner_order': 1944, 'inner_split': True, 'inner_tex': 'C_3^2.S_3^3', 'inner_used': [1, 2, 3, 4, 7, 8], 'irrC_degree': 12, 'irrQ_degree': 12, 'irrQ_dim': 12, 'irrR_degree': 12, 'irrep_stats': [[1, 8], [2, 12], [4, 6], [6, 8], [8, 1], [12, 6], [24, 1]], 'label': '1944.2342', 'linC_count': 18, 'linC_degree': 12, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 18, 'linQ_dim': 12, 'linQ_dim_count': 18, 'linR_count': 18, 'linR_degree': 12, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C3^2.S3^3', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 27, 'number_characteristic_subgroups': 15, 'number_conjugacy_classes': 42, 'number_divisions': 42, 'number_normal_subgroups': 45, 'number_subgroup_autclasses': 383, 'number_subgroup_classes': 631, 'number_subgroups': 13958, 'old_label': None, 'order': 1944, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 207], [3, 242], [6, 1494]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2], 'outer_gen_pows': [24676207], 'outer_gens': [[7138662, 6973453, 9861463, 26270739, 11495158, 2721277, 13129115, 42522093]], 'outer_group': '2.1', 'outer_hash': 1, 'outer_nilpotent': True, 'outer_order': 2, 'outer_permdeg': 2, 'outer_perms': [1], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': True, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 12], [4, 6], [6, 8], [8, 1], [12, 6], [24, 1]], 'representations': {'PC': {'code': 149515514790353503532812818304816909363186645505608354351, 'gens': [1, 2, 4, 6, 7, 8], 'pres': [8, -2, -2, -3, -2, -3, -3, -3, -3, 161, 41, 194, 21707, 10483, 91, 13932, 6740, 1469, 613, 12110, 2046, 82951, 41487]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [24577758, 24507118, 1305911, 26172358, 2939606, 36731395, 29360962, 7355200]}, 'Perm': {'d': 18, 'gens': [20929020542665, 3423317058650635, 3402106385166720, 1134035330135490, 2267507354250690, 174400128243, 376703666887107, 711549292653507]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 10, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^2.S_3^3', 'transitive_degree': 18, 'wreath_data': None, 'wreath_product': False}