Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '6.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 6, 'aut_exponent': 72, 'aut_gen_orders': [6, 8, 6, 6], 'aut_gens': [[49360913, 1240138, 42986821, 731701, 34047883], [48989663, 1240138, 9945166, 734401, 53800741], [5615513, 53443036, 9824071, 734401, 877033], [38424518, 1094896, 9576571, 731701, 53437636], [14319041, 33899851, 9824071, 734401, 1240138]], 'aut_group': None, 'aut_hash': 3664994615712318786, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 3779136, 'aut_permdeg': 87, 'aut_perms': [1303482242470161343724513470714726367845198501430951108244953966745604189872687982744973403729195046098208504507179528321871311540292, 12406266860532363438326748798771228833716513100153488188949624618357816858441450432531138266372655811676544188188871556384918764633, 2053401867335631009194922821544894210961693118922400207416093718073862739805283273994756457698700248891650502281356248307555286436153, 627752341293809813329995870522338846559671676906214744227328012195325500515560432042671946020695090982729187226928261512328421612322], 'aut_phi_ratio': 23328.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 2, 1, 1], [3, 2, 12, 1], [3, 3, 2, 1], [3, 6, 8, 1], [3, 6, 9, 1], [3, 6, 18, 1], [6, 81, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^6.C_3:S_3.(C_6\\times S_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': 72, 'autcentquo_group': None, 'autcentquo_hash': 3664994615712318786, 'autcentquo_nilpotent': False, 'autcentquo_order': 3779136, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^6.C_3^2.Q_8.S_3^2.C_2', 'cc_stats': [[1, 1, 1], [2, 81, 1], [3, 2, 13], [3, 3, 2], [3, 6, 35], [6, 81, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '486.242', 'commutator_count': 1, 'commutator_label': '81.15', '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': 242, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 2, 1, 13], [3, 3, 2, 1], [3, 6, 1, 9], [3, 6, 2, 13], [6, 81, 2, 1]], 'element_repr_type': 'GLZN', 'elementary': 1, 'eulerian_function': 7800, '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': '162.53', 'hash': 242, 'hyperelementary': 1, 'id': 541390, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [6, 3, 3, 3, 3], 'inner_gens': [[49360913, 20637991, 22628668, 734401, 53440336], [36311021, 1240138, 42986821, 731701, 34047883], [25393676, 1240138, 42986821, 731701, 34047883], [49355513, 1240138, 42986821, 731701, 34047883], [3136076, 1240138, 42986821, 731701, 34047883]], 'inner_hash': 242, 'inner_nilpotent': False, 'inner_order': 486, 'inner_split': False, 'inner_tex': 'C_3^4:C_6', 'inner_used': [1, 2, 3, 5], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 6], [2, 39], [6, 9]], 'label': '486.242', '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': 9, 'number_characteristic_subgroups': 9, 'number_conjugacy_classes': 54, 'number_divisions': 39, 'number_normal_subgroups': 80, 'number_subgroup_autclasses': 54, 'number_subgroup_classes': 456, 'number_subgroups': 4004, 'old_label': None, 'order': 486, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 81], [3, 242], [6, 162]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 24, 'outer_gen_orders': [8, 8], 'outer_gen_pows': [729001, 729001], 'outer_gens': [[5620913, 1094896, 55533181, 734401, 877033], [49360913, 33899851, 22989073, 734401, 20637991]], 'outer_group': '7776.bh', 'outer_hash': 7148157658242731593, 'outer_nilpotent': False, 'outer_order': 7776, 'outer_permdeg': 18, 'outer_perms': [5665856574135948, 3557954475304340], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_3^4:(C_2\\times \\GL(2,3))', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 3], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 15], [4, 13], [6, 9]], 'representations': {'PC': {'code': 10920997858916708839519, 'gens': [1, 3, 4, 5, 6], 'pres': [6, -2, -3, -3, -3, -3, -3, 12, 218, 3459, 1521, 3244, 11669]}, 'GLZN': {'d': 2, 'p': 90, 'gens': [44469001, 1215931, 879733, 1097596, 27490913, 731701]}, 'Perm': {'d': 15, 'gens': [1963548745, 101084981760, 19327034304, 201344699040, 3, 201344698800]}}, 'schur_multiplier': [3, 3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [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': 81, 'wreath_data': None, 'wreath_product': False}