Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '6.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 1, 'aut_exponent': 9360, 'aut_gen_orders': [8, 78, 4], 'aut_gens': [[49260803, 44961301, 1027153, 731701, 1387558], [58031561, 734401, 34142011, 44522353, 44955901], [36039641, 20485171, 44519653, 53540386, 12080503], [38083268, 20732731, 20485171, 1263823, 44595496]], 'aut_group': None, 'aut_hash': 1456214663812413569, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 3930301440, 'aut_permdeg': 83, 'aut_perms': [15531222986265130452881419979727630459099642144793317695818143554834002305190456668035577716844674659315522206159827768264254, 27100669960364534630003912153258063836180617513500411163175877147603859967395467136913673556508876406585845145406554706519451, 15289785993501437051892291447383538674389183690384957358103708683839613685254596699552340591030303931584383758814832508462018], 'aut_phi_ratio': 24261120.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 1, 2, 1], [3, 2, 40, 1], [3, 2, 80, 1], [6, 81, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2\\times C_3:(C_3^3:C_2).\\PSL(4,3).C_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': 9360, 'autcentquo_group': '1965150720.a', 'autcentquo_hash': 6119322437363060898, 'autcentquo_nilpotent': False, 'autcentquo_order': 1965150720, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\AGL(4,3)', 'cc_stats': [[1, 1, 1], [2, 81, 1], [3, 1, 2], [3, 2, 120], [6, 81, 2]], 'center_label': '3.1', 'center_order': 3, 'central_product': True, 'central_quotient': '162.54', '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': 259, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['162.54', 1], ['3.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 1, 2, 1], [3, 2, 1, 40], [3, 2, 2, 40], [6, 81, 2, 1]], 'element_repr_type': 'GLZN', 'elementary': 1, 'eulerian_function': 3751, 'exponent': 6, 'exponents_of_order': [5, 1], 'factors_of_aut_order': [2, 3, 5, 13], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '486.259', 'hash': 259, 'hyperelementary': 1, 'id': 541396, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 3, 3, 3, 3], 'inner_gens': [[49260803, 973861, 53656021, 734401, 20490571], [5764763, 44961301, 1027153, 731701, 1387558], [36286241, 44961301, 1027153, 731701, 1387558], [49263503, 44961301, 1027153, 731701, 1387558], [35917691, 44961301, 1027153, 731701, 1387558]], 'inner_hash': 54, 'inner_nilpotent': False, 'inner_order': 162, 'inner_split': False, 'inner_tex': 'C_3^3:S_3', 'inner_used': [1, 2, 3, 4, 5], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 6], [2, 120]], 'label': '486.259', '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': 6, 'number_characteristic_subgroups': 6, 'number_conjugacy_classes': 126, 'number_divisions': 84, 'number_normal_subgroups': 426, 'number_subgroup_autclasses': 24, 'number_subgroup_classes': 1968, 'number_subgroups': 7568, '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': 4680, 'outer_gen_orders': [6, 4, 6], 'outer_gen_pows': [729001, 729001, 729001], 'outer_gens': [[49260803, 11793151, 12080503, 34144711, 33705673], [49260803, 31543921, 734401, 31909816, 11793151], [27388133, 53534986, 44519653, 34142011, 53898181]], 'outer_group': None, 'outer_hash': 2077430881043136878, 'outer_nilpotent': False, 'outer_order': 24261120, 'outer_permdeg': 42, 'outer_perms': [918634490419292501999327451762253542291261537409104, 292793340852511920992961659299391311942512091924110, 7181329992230271231909487890093538221701139282985], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': 'C_2\\times \\PSL(4,3).C_2', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 3], 'quasisimple': False, 'rank': 5, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 42], [4, 40]], 'representations': {'PC': {'code': 3767160318631931999, 'gens': [1, 3, 4, 5, 6], 'pres': [6, -2, -3, -3, -3, -3, -3, 12, 218, 867, 3244, 11669]}, 'GLZN': {'d': 2, 'p': 90, 'gens': [1215931, 44767123, 44469061, 731701, 45127618, 5523563]}, 'Perm': {'d': 15, 'gens': [6230654776, 325, 435, 93448903308, 79914675, 43626240]}}, 'schur_multiplier': [3, 3, 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': 162, 'wreath_data': None, 'wreath_product': False}