Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '2.1', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 6, 'aut_exponent': 72, 'aut_gen_orders': [6, 12, 24], 'aut_gens': [[1, 2, 6, 54], [313, 38, 422, 306], [49, 40, 106, 62], [17, 326, 422, 412]], 'aut_group': None, 'aut_hash': 2818068330414514710, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 153055008, 'aut_permdeg': 243, 'aut_perms': [33298315041133416065125745225802226961656942985578297840171620931023620953218900614806696898234345275593476692637700794325999371391950519599301171899855596369721865046547384038844973931970254758663106851321087395347714438757419203214706253852571568461858207523302742140597621557289433557562006048462557195028537720178010495885452967688169406198538450411778353709874484479914367726383616230900452823692520181057522854857749476681472553158432665333894290580371022410310392519031, 24723932219239691348843558726536684062675866974125917997182396170024219904949407633243439571712939977672784625019903705463147562872030513097152611636141350188576768843102742173930820378659529828942720566435210100095808437089922940539883204125954557456347321706672297999455740364142980046195721219289890162432114941755470092009616803453924586307636641637605811306688726265834771595042758885186255994496238159276559273421644205786323934362300406010603598927072193939433662282991, 3863869291760115713559586906365775012824494844400805748693877494334027246789976204856042125216029128572137251752572778908547727308140890581876475070626504602127228115159467097861810345101393125021958697530315971694077549585370051508538005045059471930432391963590980857486503242772898335512365566759548586776640314025610536982205946279431032678138743164788806396707167056607961199037763129069386389974696223016240814562753464015406798295110035923060347082045113954715220314517], 'aut_phi_ratio': 944784.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 243, 1, 1], [3, 2, 4, 1], [3, 2, 9, 1], [9, 2, 108, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^7.C_3^4.C_3^2.Q_8.D_6', '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': 2818068330414514710, 'autcentquo_nilpotent': False, 'autcentquo_order': 153055008, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^9.C_3^4.Q_8.D_6', 'cc_stats': [[1, 1, 1], [2, 243, 1], [3, 2, 13], [9, 2, 108]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '486.180', 'commutator_count': 1, 'commutator_label': '243.31', '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': 180, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 243, 1, 1], [3, 2, 1, 13], [9, 2, 3, 36]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 195, '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': '54.14', 'hash': 180, 'hyperelementary': 1, 'id': 129718, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [2, 3, 9, 9], 'inner_gens': [[1, 4, 48, 432], [5, 2, 6, 54], [13, 2, 6, 54], [109, 2, 6, 54]], 'inner_hash': 180, 'inner_nilpotent': False, 'inner_order': 486, 'inner_split': True, 'inner_tex': 'C_9^2:S_3', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 2], [2, 121]], 'label': '486.180', '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': 'C9^2:S3', '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': 5, 'number_characteristic_subgroups': 5, 'number_conjugacy_classes': 123, 'number_divisions': 51, 'number_normal_subgroups': 127, 'number_subgroup_autclasses': 24, 'number_subgroup_classes': 252, 'number_subgroups': 3226, 'old_label': None, 'order': 486, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 243], [3, 26], [9, 216]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 72, 'outer_gen_orders': [6, 18], 'outer_gen_pows': [0, 0], 'outer_gens': [[1, 40, 296, 146], [1, 346, 302, 352]], 'outer_group': None, 'outer_hash': 930097184888828865, 'outer_nilpotent': False, 'outer_order': 314928, 'outer_permdeg': 63, 'outer_perms': [763636977137258176067940041820902177731394641575975483783973386247407939451145082737371, 176965505924910626140232483553378330577282668173228734844301651753439463338598482567], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_3^6.C_3:S_3.S_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 21, 'pgroup': 0, 'primary_abelian_invariants': [2], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 13], [6, 36]], 'representations': {'PC': {'code': 893427414150631668120863, 'gens': [1, 2, 3, 5], 'pres': [6, -2, -3, -3, -3, -3, -3, 49, 866, 68, 867, 12964, 118, 11669]}, 'Perm': {'d': 21, 'gens': [513298810552970296, 2568481780099801445, 5263903247226731350, 43652950, 7933612181061117823, 10499936036875084800]}}, 'schur_multiplier': [3, 3, 9], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_9^2:S_3', 'transitive_degree': 243, 'wreath_data': None, 'wreath_product': False}