Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '54.15', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 72, 'aut_gen_orders': [2, 6, 24, 3], 'aut_gens': [[77833, 40831, 5845, 6103, 8920], [7855, 76045, 5845, 61516, 61399], [8065, 40831, 75817, 8965, 8920], [40837, 75937, 9865, 61300, 8920], [9979, 41047, 44749, 6103, 8920]], 'aut_group': None, 'aut_hash': 3461229611598631443, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 139968, 'aut_permdeg': 75, 'aut_perms': [17671961139385799465296467272747414940172060452047765366411444848793148929180298942925172474319014088968322133, 12125315467428510189747699819941147502772328795981961701514368207578558483272789375733896379239253237514868919, 6680768804615915887960140824418828935076657807653850079030455244614973094697664543931641367381958311641186812, 4514218783058099066263364557907946701116552741847370493447089422461692226224941858676128242184419304854963894], 'aut_phi_ratio': 864.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [3, 1, 2, 1], [3, 1, 6, 1], [3, 2, 1, 1], [3, 2, 2, 1], [3, 2, 6, 1], [3, 3, 24, 1], [3, 6, 24, 1], [6, 3, 2, 1], [6, 3, 6, 1], [6, 9, 24, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^4.Q_8.S_3^2\\times S_3', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 6, 'autcent_group': '486.183', 'autcent_hash': 183, 'autcent_nilpotent': False, 'autcent_order': 486, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_3^4:S_3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '288.851', 'autcentquo_hash': 851, 'autcentquo_nilpotent': False, 'autcentquo_order': 288, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_3\\times \\GL(2,3)', 'cc_stats': [[1, 1, 1], [2, 3, 1], [3, 1, 8], [3, 2, 9], [3, 3, 24], [3, 6, 24], [6, 3, 8], [6, 9, 24]], 'center_label': '9.2', 'center_order': 9, 'central_product': True, 'central_quotient': '54.12', 'commutator_count': 1, 'commutator_label': '9.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 223, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['27.3', 1], ['3.1', 1], ['6.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [3, 1, 2, 4], [3, 2, 1, 1], [3, 2, 2, 4], [3, 3, 2, 12], [3, 6, 2, 12], [6, 3, 2, 4], [6, 9, 2, 12]], 'element_repr_type': 'GLZN', 'elementary': 1, 'eulerian_function': 364, 'exponent': 6, 'exponents_of_order': [5, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '162.51', 'hash': 223, 'hyperelementary': 1, 'id': 541384, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [3, 1, 3, 2, 3], 'inner_gens': [[77833, 40831, 6061, 6103, 8920], [77833, 40831, 5845, 6103, 8920], [77941, 40831, 5845, 6103, 8920], [77833, 40831, 5845, 6103, 61399], [77833, 40831, 5845, 61516, 8920]], 'inner_hash': 12, 'inner_nilpotent': False, 'inner_order': 54, 'inner_split': False, 'inner_tex': 'S_3\\times C_3^2', 'inner_used': [1, 3, 4, 5], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 54], [2, 27], [3, 12], [6, 6]], 'label': '486.223', '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': True, 'metacyclic': False, 'monomial': True, 'name': 'C3^4:C6', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 12, 'number_conjugacy_classes': 99, 'number_divisions': 51, 'number_normal_subgroups': 96, 'number_subgroup_autclasses': 55, 'number_subgroup_classes': 393, 'number_subgroups': 1298, 'old_label': None, 'order': 486, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 3], [3, 242], [6, 240]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 24, 'outer_gen_orders': [6, 6, 8], 'outer_gen_pows': [5833, 5833, 5833], 'outer_gens': [[79861, 40831, 75823, 5887, 8920], [42955, 76045, 9985, 6103, 8920], [43063, 40831, 43069, 5887, 8920]], 'outer_group': '2592.fv', 'outer_hash': 9019849488891309561, 'outer_nilpotent': False, 'outer_order': 2592, 'outer_permdeg': 12, 'outer_perms': [344782105, 266759525, 342682105], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'S_3\\times C_3^2:\\GL(2,3)', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 3, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 27], [4, 13], [6, 6], [12, 3]], 'representations': {'PC': {'code': 15948908073531, 'gens': [1, 2, 3, 4, 6], 'pres': [6, -3, -3, -3, -2, -3, -3, 1136, 69, 455]}, 'GLZN': {'d': 2, 'p': 18, 'gens': [24505, 5839, 40831, 5941, 96397, 5995]}, 'Perm': {'d': 15, 'gens': [136, 107416915525, 201312402938, 292724449920, 351307756800, 348]}}, 'schur_multiplier': [3, 3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 3, 6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^4:C_6', 'transitive_degree': 54, 'wreath_data': None, 'wreath_product': False}