Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 12, 'aut_gen_orders': [6, 12, 6, 12], 'aut_gens': [[16278328, 24577758, 1305911, 2939606, 13069762, 29360962], [14644675, 32864349, 23409914, 20201582, 33835327, 24637078], [23646378, 14408275, 33835327, 11495191, 1305911, 9920725], [17852974, 43014227, 31289712, 32864349, 13069828, 1542375], [42542022, 37043650, 35469046, 37043692, 8713299, 14644717]], 'aut_group': None, 'aut_hash': 2129751748138417372, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 3888, 'aut_permdeg': 54, 'aut_perms': [170804168028304575731672430161644877497384378754873746347511462164593823, 6721139634861730766009882707627219445270414705246795229671113967391305, 92275172886863155311491676685667216346146386275385337553227737437461839, 230525869162605684169814280089011619636081338063980312359119154005881474], 'aut_phi_ratio': 36.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 27, 2, 1], [3, 2, 1, 1], [3, 2, 3, 1], [3, 6, 2, 1], [3, 12, 1, 1], [3, 12, 2, 2], [6, 18, 1, 1], [6, 18, 3, 1], [6, 54, 2, 1]], 'aut_supersolvable': False, 'aut_tex': '\\He_3.C_4:S_3^2', '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': 12, 'autcentquo_group': None, 'autcentquo_hash': 2129751748138417372, 'autcentquo_nilpotent': False, 'autcentquo_order': 3888, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\He_3.C_4:S_3^2', 'cc_stats': [[1, 1, 1], [2, 9, 1], [2, 27, 2], [3, 2, 4], [3, 6, 2], [3, 12, 5], [6, 18, 4], [6, 54, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '324.124', 'commutator_count': 1, 'commutator_label': '81.12', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 124, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 27, 1, 2], [3, 2, 1, 4], [3, 6, 1, 2], [3, 12, 1, 3], [3, 12, 2, 1], [6, 18, 1, 4], [6, 54, 1, 2]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 3, 'exponent': 6, 'exponents_of_order': [4, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '108.40', 'hash': 124, 'hyperelementary': 1, 'id': 109158, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 3, 3, 3, 3, 2], 'inner_gens': [[16278328, 7138662, 4514243, 2939606, 35469013, 29360962], [33540394, 24577758, 1305911, 2939606, 16041961, 33540338], [17852974, 24577758, 1305911, 2939606, 33835360, 1542375], [16278328, 24577758, 1305911, 2939606, 33835360, 4750707], [36748651, 7138662, 23409914, 20201582, 13069762, 32569294], [16278328, 20201582, 29656017, 32864349, 9861430, 29360962]], 'inner_hash': 124, 'inner_nilpotent': False, 'inner_order': 324, 'inner_split': True, 'inner_tex': 'C_3^2:S_3^2', 'inner_used': [1, 2, 3, 5, 6], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 4], [2, 6], [4, 5], [6, 6]], 'label': '324.124', 'linC_count': 12, 'linC_degree': 8, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 12, 'linQ_dim': 8, 'linQ_dim_count': 12, 'linR_count': 12, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C3^2:S3^2', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 12, 'number_characteristic_subgroups': 8, 'number_conjugacy_classes': 21, 'number_divisions': 20, 'number_normal_subgroups': 19, 'number_subgroup_autclasses': 61, 'number_subgroup_classes': 127, 'number_subgroups': 1086, 'old_label': None, 'order': 324, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 63], [3, 80], [6, 180]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 6], 'outer_gen_pows': [14408200, 14408200], 'outer_gens': [[16278328, 24577758, 4514243, 2939606, 9861430, 29360962], [29360962, 11495191, 16041961, 11495116, 41439590, 16278328]], 'outer_group': '12.4', 'outer_hash': 4, 'outer_nilpotent': False, 'outer_order': 12, 'outer_permdeg': 5, 'outer_perms': [7, 49], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_6', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 12, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 6], [4, 3], [6, 6], [8, 1]], 'representations': {'PC': {'code': 25231898053165328976730255, 'gens': [1, 2, 4, 5, 6], 'pres': [6, -2, -2, -3, -3, -3, -3, 121, 31, 146, 297, 2164, 2710, 1096, 3899]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [16278328, 24577758, 1305911, 2939606, 13069762, 29360962]}, 'Perm': {'d': 12, 'gens': [7638000, 8731465, 47917560, 92348667, 15040224, 92348664]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [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_3^2', 'transitive_degree': 27, 'wreath_data': None, 'wreath_product': False}