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': 4, 'aut_exponent': 24, 'aut_gen_orders': [8, 8, 6], 'aut_gens': [[24577758, 24507118, 26172358, 2939606, 36731395, 17391204, 29360962, 7355200], [11495158, 2721277, 14324106, 24577758, 20254942, 28918940, 29360962, 7284560], [24507118, 7138662, 42578171, 2721277, 2939606, 14325832, 8567290, 42894347], [20201582, 20254942, 2666750, 11495158, 11225629, 15701625, 26270773, 32425605]], 'aut_group': '20736.z', 'aut_hash': 687264991867046508, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 20736, 'aut_permdeg': 72, 'aut_perms': [17983537995335651014098083059322007692500224754755193818051148171778601839484919627843997021017970778570, 29460283315449748616765345586587416793828783049055414722179776768078334333472251750128599065247669928634, 58081899475695562508346800172889833493869906524705268273116980342681042109749478896294713833153047541620], 'aut_phi_ratio': 48.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 2, 1], [2, 18, 4, 1], [2, 81, 1, 1], [3, 4, 4, 1], [3, 8, 4, 1], [3, 16, 2, 1], [4, 162, 2, 1], [6, 36, 4, 1], [6, 36, 8, 1], [6, 72, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'S_3\\wr D_4:C_2', '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': 24, 'autcentquo_group': '20736.z', 'autcentquo_hash': 687264991867046508, 'autcentquo_nilpotent': False, 'autcentquo_order': 20736, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_3\\wr D_4:C_2', 'cc_stats': [[1, 1, 1], [2, 9, 2], [2, 18, 4], [2, 81, 1], [3, 4, 4], [3, 8, 4], [3, 16, 2], [4, 162, 2], [6, 36, 12], [6, 72, 4]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '1296.3531', 'commutator_count': 1, 'commutator_label': '162.54', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 3531, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 2], [2, 18, 1, 4], [2, 81, 1, 1], [3, 4, 1, 4], [3, 8, 1, 4], [3, 16, 1, 2], [4, 162, 1, 2], [6, 36, 1, 12], [6, 72, 1, 4]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 33600, 'exponent': 12, 'exponents_of_order': [4, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[8, 1, 8], [16, 1, 2]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1296.3531', 'hash': 3531, 'hyperelementary': 1, 'id': 318835, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [3, 3, 6, 3, 3, 4, 2, 2], 'inner_gens': [[24577758, 24507118, 13089749, 2939606, 36731395, 13887645, 33540338, 11534549], [24577758, 24507118, 8640151, 2939606, 36731395, 14202072, 29360962, 11607619], [43014227, 6973453, 26172358, 32864349, 11225629, 29082932, 8949766, 24676207], [24577758, 24507118, 39825765, 2939606, 36731395, 25946732, 4750707, 20477175], [24577758, 24507118, 29363677, 2939606, 36731395, 39177774, 29360962, 32870443], [7138662, 6973453, 22237791, 11495158, 2721277, 17391204, 33540338, 7195929], [20201582, 24507118, 8733253, 32864349, 36731395, 21767383, 29360962, 24676207], [20201582, 20254942, 8733253, 32864349, 11225629, 17225213, 26270773, 7355200]], 'inner_hash': 3531, 'inner_nilpotent': False, 'inner_order': 1296, 'inner_split': False, 'inner_tex': 'C_3^4:(C_2\\times D_4)', 'inner_used': [1, 2, 3, 6, 7], 'irrC_degree': 8, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 8], [2, 2], [4, 16], [8, 8], [16, 2]], 'label': '1296.3531', '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:(C2*D4)', '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, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 11, 'number_characteristic_subgroups': 6, 'number_conjugacy_classes': 36, 'number_divisions': 36, 'number_normal_subgroups': 24, 'number_subgroup_autclasses': 110, 'number_subgroup_classes': 452, 'number_subgroups': 8956, 'old_label': None, 'order': 1296, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 171], [3, 80], [4, 324], [6, 720]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2], 'outer_gen_pows': [20004734, 29675890, 39228707, 16002766], 'outer_gens': [[11225629, 32864349, 17126237, 42578137, 7138662, 34763347, 16002766, 42648283], [24507118, 43014227, 16393915, 36731395, 32864349, 12441515, 16002766, 14485150], [20254942, 43014227, 7357798, 32479219, 32864349, 14036081, 16002766, 24583825], [20201582, 6973453, 7138687, 32864349, 2721277, 17517151, 29360962, 24676207]], 'outer_group': '16.11', 'outer_hash': 11, 'outer_nilpotent': True, 'outer_order': 16, 'outer_permdeg': 6, 'outer_perms': [126, 55, 289, 288], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times D_4', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 12, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': True, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 2], [4, 16], [8, 8], [16, 2]], 'representations': {'PC': {'code': 723734453444400846544179084258237667455328947770695651113889993239, 'gens': [1, 2, 4, 5, 7, 8], 'pres': [8, 2, 2, 2, 3, 2, 3, 3, 3, 97, 41, 779, 147, 4804, 1612, 1220, 116, 4613, 397, 1173, 32270, 4054, 710, 64519, 23055, 13847, 2343]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [24577758, 24507118, 26172358, 2939606, 36731395, 17391204, 29360962, 7355200]}, 'Perm': {'d': 12, 'gens': [131725915, 263727360, 131725890, 3633865, 43626240, 79879203, 147, 79914484]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 12, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^4:(C_2\\times D_4)', 'transitive_degree': 12, 'wreath_data': None, 'wreath_product': False}