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': 5, 'aut_exponent': 72, 'aut_gen_orders': [6, 18, 12, 12, 9, 3, 9, 3, 3], 'aut_gens': [[1, 6, 54], [397, 150, 450], [391, 156, 432], [427, 120, 84], [151, 396, 30], [337, 6, 54], [163, 330, 90], [481, 6, 54], [325, 6, 54], [361, 348, 414]], 'aut_group': '314928.qw', 'aut_hash': 4753175738684376662, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 314928, 'aut_permdeg': 81, 'aut_perms': [35410606891582410442194850479760036964453320052689255550766167964103537368556455712790483949587586961683913498783730319, 35403494028009450742111299619299612554710532205815473337433625055519266909770985857020565926397560603308972170386379898, 51118559340898506095395973659832365321201210064092304290968037779748610529589211801151124923226145649530080827043904310, 50268327093852005453398691067288023530804909884546832896370877747696283183343927677783126633050722474734009371978075191, 4747605050550441959761236927627597948912153368069458017296611206100307640146740192919435235097291992336630165711218799125, 651542786955442213931740910187227133912902068317372557251436522745546158801027022229206253722373175149275236578235051, 2135818942669029114508067681381283115814882754788257040715452276807064589679149232354051717070471502102714991919324799015, 106499128918124616707091518273884931290933626464478994580748433789046350863101932908519991474229172940819163713585912804, 2863444127472295087898401740066846962890196526876906078284496789296449343959342273364023977275388722436014916428008574342], 'aut_phi_ratio': 1944.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 2, 4, 1], [3, 9, 1, 2], [6, 81, 1, 2], [9, 6, 12, 1], [9, 18, 4, 2]], 'aut_supersolvable': False, 'aut_tex': 'C_3^5.C_3^3:\\GL(2,3)', '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': '314928.qw', 'autcentquo_hash': 4753175738684376662, 'autcentquo_nilpotent': False, 'autcentquo_order': 314928, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^5.C_3^3:\\GL(2,3)', 'cc_stats': [[1, 1, 1], [2, 81, 1], [3, 2, 4], [3, 9, 2], [6, 81, 2], [9, 6, 12], [9, 18, 8]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '486.159', 'commutator_count': 1, 'commutator_label': '81.2', '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': 159, '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, 4], [3, 9, 2, 1], [6, 81, 2, 1], [9, 6, 1, 12], [9, 18, 2, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 182, 'exponent': 18, 'exponents_of_order': [5, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '54.13', 'hash': 159, 'hyperelementary': 1, 'id': 129710, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [6, 9, 9], 'inner_gens': [[1, 12, 108], [49, 6, 54], [433, 6, 54]], 'inner_hash': 159, 'inner_nilpotent': False, 'inner_order': 486, 'inner_split': False, 'inner_tex': 'C_9^2:C_6', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 6], [2, 12], [6, 12]], 'label': '486.159', 'linC_count': 54, 'linC_degree': 12, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 54, 'linQ_dim': 12, 'linQ_dim_count': 54, 'linR_count': 54, 'linR_degree': 12, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C9^2: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': 10, 'number_characteristic_subgroups': 7, 'number_conjugacy_classes': 30, 'number_divisions': 24, 'number_normal_subgroups': 31, 'number_subgroup_autclasses': 27, 'number_subgroup_classes': 104, 'number_subgroups': 764, 'old_label': None, 'order': 486, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 81], [3, 26], [6, 162], [9, 216]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 36, 'outer_gen_orders': [2, 3, 2, 2, 3, 3, 3], 'outer_gen_pows': [4, 0, 3, 5, 0, 0, 0], 'outer_gens': [[1, 270, 30], [1, 480, 6], [1, 228, 384], [1, 396, 336], [1, 204, 72], [1, 366, 90], [1, 168, 90]], 'outer_group': '648.703', 'outer_hash': 703, 'outer_nilpotent': False, 'outer_order': 648, 'outer_permdeg': 9, 'outer_perms': [16687, 340280, 744, 26094, 99, 26072, 126000], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_3^3:S_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 6], [4, 4], [6, 12]], 'representations': {'PC': {'code': 212735901257064647444423636319, 'gens': [1, 3, 5], 'pres': [6, -2, -3, -3, -3, -3, -3, 12, 218, 224, 68, 867, 3244, 3250, 118, 11669]}, 'Perm': {'d': 18, 'gens': [69744149810689, 83790831803248, 467189504058332, 840948182019195, 1152522440294400, 1152522440346332]}}, 'schur_multiplier': [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_9^2:C_6', 'transitive_degree': 81, 'wreath_data': None, 'wreath_product': False}