Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '3.1', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 72, 'aut_gen_orders': [6, 24], 'aut_gens': [[11445301, 24577758, 24507118, 14850479, 2939606, 36731395, 7046328, 7355200], [11663920, 37010401, 36731395, 2887159, 3105678, 24507118, 42803108, 32478752], [3107203, 14357270, 24454001, 24505613, 14853281, 32705081, 32798247, 42894347]], 'aut_group': '93312.jq', 'aut_hash': 4164635616307602250, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 93312, 'aut_permdeg': 72, 'aut_perms': [53088642115315083453860689977593866711917855766519930813487401386045928734957102634995023413972320052555, 18783528136833916518514095006175268414147061143759298633923504839887512563640748123800956140279280033317], 'aut_phi_ratio': 144.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 8, 4, 1], [3, 24, 2, 1], [3, 36, 2, 1], [3, 72, 8, 1], [4, 486, 1, 1], [6, 324, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^4:\\GL(2,3):S_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': 72, 'autcentquo_group': '93312.jq', 'autcentquo_hash': 4164635616307602250, 'autcentquo_nilpotent': False, 'autcentquo_order': 93312, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^4:\\GL(2,3):S_4', 'cc_stats': [[1, 1, 1], [2, 81, 1], [3, 8, 4], [3, 24, 2], [3, 36, 2], [3, 72, 8], [4, 486, 1], [6, 324, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '1944.3875', 'commutator_count': 1, 'commutator_label': '648.730', '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': 3875, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 8, 1, 4], [3, 24, 1, 2], [3, 36, 2, 1], [3, 72, 2, 4], [4, 486, 1, 1], [6, 324, 2, 1]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 16, 'exponent': 12, 'exponents_of_order': [5, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[24, 1, 2]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1944.3875', 'hash': 3875, 'hyperelementary': 1, 'id': 319696, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [4, 3, 3, 4, 3, 3, 3, 2], 'inner_gens': [[11445301, 11495158, 11225629, 20327188, 43014227, 24507118, 11391729, 20207646], [24508308, 24577758, 24507118, 11169773, 2939606, 36731395, 24898803, 11534549], [24734080, 24577758, 24507118, 11659160, 2939606, 36731395, 24577806, 11607619], [42746117, 32864349, 32479219, 14850479, 24577758, 6973453, 11612122, 11501225], [14358460, 24577758, 24507118, 6970741, 2939606, 36731395, 32653863, 20477175], [20481904, 24577758, 24507118, 3156995, 2939606, 36731395, 7046328, 32870443], [7196594, 7138662, 6973453, 11608678, 20201582, 36731395, 7046328, 11222246], [42652886, 20201582, 20254942, 24511696, 32864349, 11225629, 3158792, 7355200]], 'inner_hash': 3875, 'inner_nilpotent': False, 'inner_order': 1944, 'inner_split': False, 'inner_tex': 'C_3^4:\\SL(2,3)', 'inner_used': [1, 2, 3, 4, 7], 'irrC_degree': 24, 'irrQ_degree': 24, 'irrQ_dim': 24, 'irrR_degree': 24, 'irrep_stats': [[1, 3], [2, 3], [3, 1], [8, 12], [24, 2]], 'label': '1944.3875', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': None, 'name': 'C3^4:SL(2,3)', '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': 8, 'number_characteristic_subgroups': 5, 'number_conjugacy_classes': 21, 'number_divisions': 15, 'number_normal_subgroups': 9, 'number_subgroup_autclasses': 53, 'number_subgroup_classes': 179, 'number_subgroups': 5968, 'old_label': None, 'order': 1944, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 81], [3, 728], [4, 486], [6, 648]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 3, 2, 2], 'outer_gen_pows': [14408200, 14408200, 36801784, 36801784, 36801784], 'outer_gens': [[11445301, 24454001, 24507118, 14797332, 3105678, 36731395, 7411211, 7144729], [42894928, 20201582, 20254942, 32752764, 11495158, 32479219, 36899383, 11660736], [2943136, 14357270, 20254942, 7356024, 14800134, 11225629, 11661200, 42747226], [11498688, 14481270, 24454001, 24730259, 14633333, 37010401, 36904095, 32797616], [2994093, 24507118, 20201582, 11499970, 2721277, 11495158, 24825976, 2720081]], 'outer_group': '48.48', 'outer_hash': 48, 'outer_nilpotent': False, 'outer_order': 48, 'outer_permdeg': 6, 'outer_perms': [266, 598, 147, 592, 111], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2\\times S_4', 'pc_rank': 7, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [2, 2], [3, 1], [4, 1], [8, 4], [16, 4], [24, 2]], 'representations': {'PC': {'code': 1385138591529629744706174852639364925036004279151410389303671712253576847, 'gens': [1, 2, 3, 5, 6, 7, 8], 'pres': [8, -3, -2, 2, -2, -3, 3, -3, 3, 289, 73, 218, 154, 66, 1292, 980, 188, 5765, 2701, 213, 605, 20174, 16150, 2046, 69127, 18447, 11543, 6943]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [11445301, 24577758, 24507118, 14850479, 2939606, 36731395, 7046328, 7355200]}, 'Perm': {'d': 18, 'gens': [43352522449537, 23732653197212, 47276104390907, 69744149817742, 422641876262783, 801716992981424, 147591, 104624]}}, 'schur_multiplier': [3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3], 'solvability_type': 12, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^4:\\SL(2,3)', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}