Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '12.5', '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, 15477644, 24507118, 2939606, 36731395, 7046328, 14159168], [2939606, 38113169, 2721277, 24577758, 36731395, 20699732, 13888910], [7138662, 19676700, 2721277, 2939606, 36731395, 7046322, 4228509], [20254942, 12819466, 2939606, 32479219, 11495158, 20573800, 29131384]], 'aut_group': '11664.bb', 'aut_hash': 5493034888393394034, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 11664, 'aut_permdeg': 36, 'aut_perms': [348421388622664689777925337741550738052062, 342906598377127263117925521499811932877575, 126314072521780780268596929946570255658830], 'aut_phi_ratio': 36.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 2, 1], [2, 81, 1, 1], [3, 2, 2, 1], [3, 4, 1, 1], [3, 6, 2, 1], [3, 9, 2, 1], [3, 12, 2, 1], [3, 12, 3, 1], [3, 18, 4, 1], [3, 36, 2, 1], [6, 18, 2, 1], [6, 27, 4, 1], [6, 54, 2, 1], [6, 54, 4, 1], [6, 81, 2, 1]], 'aut_supersolvable': False, 'aut_tex': '\\He_3^2:(C_2\\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': '11664.bb', 'autcentquo_hash': 5493034888393394034, 'autcentquo_nilpotent': False, 'autcentquo_order': 11664, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\He_3^2:(C_2\\times D_4)', 'cc_stats': [[1, 1, 1], [2, 9, 2], [2, 81, 1], [3, 2, 2], [3, 4, 1], [3, 6, 2], [3, 9, 2], [3, 12, 5], [3, 18, 4], [3, 36, 2], [6, 18, 2], [6, 27, 4], [6, 54, 6], [6, 81, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '972.427', 'commutator_count': 1, 'commutator_label': '81.15', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 427, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 2], [2, 81, 1, 1], [3, 2, 1, 2], [3, 4, 1, 1], [3, 6, 1, 2], [3, 9, 2, 1], [3, 12, 1, 5], [3, 18, 2, 2], [3, 36, 2, 1], [6, 18, 1, 2], [6, 27, 2, 2], [6, 54, 1, 2], [6, 54, 2, 2], [6, 81, 2, 1]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 12, 'exponent': 6, 'exponents_of_order': [5, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[12, 1, 3]], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '108.38', 'hash': 427, 'hyperelementary': 1, 'id': 320343, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [3, 2, 3, 3, 3, 3, 2], 'inner_gens': [[24577758, 24033196, 24507118, 2939606, 36731395, 24898803, 8188666], [20201582, 15477644, 24507118, 32864349, 36731395, 20699747, 34924766], [24577758, 15477644, 24507118, 2939606, 36731395, 24577806, 8314856], [24577758, 2414724, 24507118, 2939606, 36731395, 32653863, 39300942], [24577758, 15477644, 24507118, 2939606, 36731395, 7046328, 17350487], [7138662, 32319787, 6973453, 20201582, 36731395, 7046328, 8095555], [20201582, 38113169, 20254942, 32864349, 11225629, 3158792, 14159168]], 'inner_hash': 427, 'inner_nilpotent': False, 'inner_order': 972, 'inner_split': True, 'inner_tex': 'C_3^3:S_3^2', 'inner_used': [1, 2, 3, 4, 5, 6, 7], 'irrC_degree': 12, 'irrQ_degree': 12, 'irrQ_dim': 12, 'irrR_degree': 12, 'irrep_stats': [[1, 12], [2, 12], [4, 3], [6, 4], [12, 5]], 'label': '972.427', 'linC_count': 7, 'linC_degree': 12, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 7, 'linQ_dim': 12, 'linQ_dim_count': 7, 'linR_count': 7, 'linR_degree': 12, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C3^3:S3^2', 'ngens': 7, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 16, 'number_characteristic_subgroups': 9, 'number_conjugacy_classes': 36, 'number_divisions': 27, 'number_normal_subgroups': 27, 'number_subgroup_autclasses': 130, 'number_subgroup_classes': 255, 'number_subgroups': 4557, 'old_label': None, 'order': 972, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 99], [3, 242], [6, 630]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 6], 'outer_gen_pows': [11495116, 14408200], 'outer_gens': [[20254942, 16002766, 43014227, 32479219, 11495158, 2721352, 34612436], [42578137, 16002766, 2939606, 32479219, 37043725, 2721319, 13888910]], 'outer_group': '12.4', 'outer_hash': 4, 'outer_nilpotent': False, 'outer_order': 12, 'outer_permdeg': 5, 'outer_perms': [6, 49], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_6', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 8], [4, 5], [6, 4], [8, 1], [12, 5]], 'representations': {'PC': {'code': 13346134843247314756063175684041458871, 'gens': [1, 3, 4, 6, 7], 'pres': [7, -2, -3, -3, -2, -3, -3, -3, 14, 1010, 450, 2523, 80, 2524, 18149, 15888, 530, 1791]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [24577758, 15477644, 24507118, 2939606, 36731395, 7046328, 14159168]}, 'Perm': {'d': 18, 'gens': [3423317058650635, 3402106385166720, 93485145748, 1134035330273280, 2267507354388480, 376703666922484, 711549292688884]}}, 'schur_multiplier': [3, 6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^3:S_3^2', 'transitive_degree': 18, 'wreath_data': None, 'wreath_product': False}