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': 36, 'aut_gen_orders': [36, 6, 18, 4], 'aut_gens': [[1, 2, 12, 72], [1235, 1090, 264, 1188], [515, 650, 1128, 396], [587, 874, 264, 324], [155, 694, 264, 612]], 'aut_group': None, 'aut_hash': 7371815897844339481, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 7776, 'aut_permdeg': 108, 'aut_perms': [259421687465925500692691034348993499727458737831767518791829994215826532859845983258972940566660753887295116147637929769173118667302265045707801521825111614773244423515817545, 334855660624122017619511415461670176059191497724619350558990415798268979410427530028484858002057631006303462007022809329727667716809644317830383111300355159134357418946784345, 688284012758843523629018811361747929384626745392340259047905840957590818619395648619584377433737092676647100656727843750152311631687290455606090200735769444313305606232414071, 691492848538986164479160737686654688384042742335967120646464413140716901470791942756975439137675927205318299837919412152230247364012650101725821610183773288151095883195762691], 'aut_phi_ratio': 18.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 3, 1, 2], [2, 54, 2, 1], [3, 2, 1, 1], [3, 3, 1, 2], [3, 8, 3, 1], [3, 24, 1, 2], [4, 54, 2, 1], [6, 2, 1, 1], [6, 3, 1, 2], [6, 6, 1, 2], [6, 8, 3, 1], [6, 9, 1, 4], [6, 24, 1, 2], [6, 54, 2, 2], [9, 6, 1, 3], [9, 24, 2, 3], [12, 54, 2, 2], [18, 6, 1, 3], [18, 18, 1, 6], [18, 24, 2, 3]], 'aut_supersolvable': False, 'aut_tex': 'C_2\\times C_6^2.C_3^3.C_2^2', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 2, 'autcent_group': '2.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 2, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 36, 'autcentquo_group': '3888.lg', 'autcentquo_hash': 6837539219226699343, 'autcentquo_nilpotent': False, 'autcentquo_order': 3888, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^3.(S_3\\times S_4)', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 3, 2], [2, 54, 2], [3, 2, 1], [3, 3, 2], [3, 8, 3], [3, 24, 2], [4, 54, 2], [6, 2, 1], [6, 3, 2], [6, 6, 2], [6, 8, 3], [6, 9, 4], [6, 24, 2], [6, 54, 4], [9, 6, 3], [9, 24, 6], [12, 54, 4], [18, 6, 3], [18, 18, 6], [18, 24, 6]], 'center_label': '2.1', 'center_order': 2, 'central_product': True, 'central_quotient': '648.569', 'commutator_count': 1, 'commutator_label': '108.18', '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': 2998, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['648.569', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 3, 1, 2], [2, 54, 1, 2], [3, 2, 1, 1], [3, 3, 2, 1], [3, 8, 1, 3], [3, 24, 2, 1], [4, 54, 1, 2], [6, 2, 1, 1], [6, 3, 2, 1], [6, 6, 1, 2], [6, 8, 1, 3], [6, 9, 2, 2], [6, 24, 2, 1], [6, 54, 2, 2], [9, 6, 1, 1], [9, 6, 2, 1], [9, 24, 1, 2], [9, 24, 2, 2], [12, 54, 2, 2], [18, 6, 1, 1], [18, 6, 2, 1], [18, 18, 1, 2], [18, 18, 2, 2], [18, 24, 1, 2], [18, 24, 2, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 98280, 'exponent': 36, 'exponents_of_order': [4, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[18, 1, 1]], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '432.761', 'hash': 2998, 'hyperelementary': 1, 'id': 175403, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 36, 'inner_gen_orders': [2, 3, 6, 18], 'inner_gens': [[1, 10, 12, 1260], [5, 2, 696, 108], [1, 686, 12, 504], [181, 38, 876, 72]], 'inner_hash': 569, 'inner_nilpotent': False, 'inner_order': 648, 'inner_split': True, 'inner_tex': 'C_9:(C_3\\times S_4)', 'inner_used': [1, 2, 3, 4], 'irrC_degree': 18, 'irrQ_degree': 18, 'irrQ_dim': 18, 'irrR_degree': 18, 'irrep_stats': [[1, 12], [2, 24], [3, 12], [6, 12], [18, 2]], 'label': '1296.2998', 'linC_count': 54, 'linC_degree': 9, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 9, 'linQ_degree_count': 18, 'linQ_dim': 9, 'linQ_dim_count': 18, 'linR_count': 18, 'linR_degree': 9, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C9:(C6*S4)', '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': 46, 'number_characteristic_subgroups': 30, 'number_conjugacy_classes': 62, 'number_divisions': 44, 'number_normal_subgroups': 48, 'number_subgroup_autclasses': 204, 'number_subgroup_classes': 318, 'number_subgroups': 3152, 'old_label': None, 'order': 1296, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 115], [3, 80], [4, 108], [6, 344], [9, 162], [12, 216], [18, 270]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 6], 'outer_gen_pows': [0, 0], 'outer_gens': [[1, 10, 12, 108], [7, 434, 12, 72]], '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': 4, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 12], [3, 4], [4, 8], [6, 12], [12, 2], [18, 2]], 'representations': {'PC': {'code': 558007512071224636677680791630496024168402757672173133616507435, 'gens': [1, 2, 4, 6], 'pres': [8, 2, 2, 3, 2, 3, 2, 3, 3, 161, 41, 194, 11147, 5299, 91, 60485, 2605, 9093, 2045, 1909, 141, 64518, 4734, 1382, 222, 55303]}, 'GLZN': {'d': 2, 'p': 36, 'gens': [47089, 1656919, 46681, 909811, 47305, 502525, 46801, 70633]}, 'Perm': {'d': 15, 'gens': [14856750736, 127, 19248248880, 304, 114006090240, 208051159680, 126, 7]}}, 'schur_multiplier': [2, 6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 6], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_9:(C_6\\times S_4)', 'transitive_degree': 54, 'wreath_data': None, 'wreath_product': False}