Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '81.15', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 6, 'aut_exponent': 72, 'aut_gen_orders': [2, 6, 12, 4, 3, 3, 3, 3, 3, 3, 3, 3], 'aut_gens': [[1, 3, 9, 27], [2, 3, 9, 27], [7, 3, 9, 135], [6, 1, 9, 208], [8, 5, 9, 35], [1, 3, 13, 35], [163, 165, 94, 197], [1, 3, 16, 30], [1, 3, 9, 33], [82, 165, 9, 193], [1, 3, 90, 189], [1, 165, 10, 113], [1, 3, 90, 108]], 'aut_group': '1889568.ph', 'aut_hash': 4069288062232349919, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1889568, 'aut_permdeg': 81, 'aut_perms': [71570486701054456472865228531244583067272593171918102520505659148709659563209085233216375860738239198233955847585792126, 3060999559281813584305598625446648576735044192202379385761620502693017734685484696136182544657038348348581469709503265440, 4999970918882196611679933647942692379345817141013786605209888055437619088561449744629015374062692224138130213905731609799, 787298298657887213872329826663655507944400283634151400162297441799761497310774669500214321626124135393749397582312456332, 1889663307963902297267291831815047743337347737930004759457124503388833628613202753817640046477234727667494000373044, 11841179587116375464100763176794706187501658443343116249036884572465935942237996409021227424422762663461113111562046475, 76102378952083645641018676522281063345870146526709882113860281041882353297566495204378096057222515266004815875423083744, 511905419874108527231552707360654138649209365686257621340127683569532884400983088390030247017255105140094984306112882990, 2907613312748454178035446506863526320446308217780605063691410367373173973363874906300204499582917412036773602879901792245, 2906193043570292838432036658385645489096604327145668216426084159919616382708657431448384180371023870063363520411113, 1966441015485558106428822620513894769720066200461936983890449322843774984875485222313055898211844988592715586520749357160, 584390009224952818867035025024496727597362911405413134462187010474342846615374647584407654588119858545037438702075785574], 'aut_phi_ratio': 11664.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [3, 1, 2, 1], [3, 1, 24, 1], [3, 3, 9, 2], [9, 3, 54, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^4.C_3^4:(S_3\\times \\GL(2,3))', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 72, 'autcent_group': None, 'autcent_hash': 5874786550790147276, 'autcent_nilpotent': False, 'autcent_order': 314928, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_3^4.C_3^4.Q_8.S_3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '6.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 6, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3', 'cc_stats': [[1, 1, 1], [3, 1, 26], [3, 3, 18], [9, 3, 54]], 'center_label': '27.5', 'center_order': 27, 'central_product': True, 'central_quotient': '9.2', 'commutator_count': 1, 'commutator_label': '3.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 63, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['27.4', 1], ['3.1', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [3, 1, 2, 13], [3, 3, 2, 9], [9, 3, 2, 27]], 'element_repr_type': 'PC', 'elementary': 3, 'eulerian_function': 1040, 'exponent': 9, 'exponents_of_order': [5], 'factors_of_aut_order': [2, 3], 'factors_of_order': [3], 'faithful_reps': [], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '81.15', 'hash': 63, 'hyperelementary': 3, 'id': 50429, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 3, 'inner_gen_orders': [1, 1, 3, 3], 'inner_gens': [[1, 3, 9, 27], [1, 3, 9, 27], [1, 3, 9, 189], [1, 3, 90, 27]], 'inner_hash': 2, 'inner_nilpotent': True, 'inner_order': 9, 'inner_split': False, 'inner_tex': 'C_3^2', 'inner_used': [3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 81], [3, 18]], 'label': '243.63', '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:C3^3', 'ngens': 4, 'nilpotency_class': 2, 'nilpotent': True, 'normal_counts': [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': 5, 'number_conjugacy_classes': 99, 'number_divisions': 50, 'number_normal_subgroups': 234, 'number_subgroup_autclasses': 18, 'number_subgroup_classes': 288, 'number_subgroups': 396, 'old_label': None, 'order': 243, 'order_factorization_type': 3, 'order_stats': [[1, 1], [3, 80], [9, 162]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 72, 'outer_gen_orders': [6, 8, 8], 'outer_gen_pows': [18, 0, 18], 'outer_gens': [[168, 4, 15, 56], [86, 163, 95, 113], [3, 85, 91, 71]], 'outer_group': None, 'outer_hash': 7740221327722501112, 'outer_nilpotent': False, 'outer_order': 209952, 'outer_permdeg': 36, 'outer_perms': [210327667985753511929110380811417484896356, 124295961271184815244847271756357320136679, 38085576077594605835133187795812899428860], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_3^6.Q_8.S_3^2', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 15, 'pgroup': 3, 'primary_abelian_invariants': [3, 3, 3, 3], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [2, 40], [6, 9]], 'representations': {'PC': {'code': 7981064, 'gens': [1, 2, 3, 4], 'pres': [5, -3, 3, 3, 3, -3, 433, 78]}, 'GLZN': {'d': 2, 'p': 18, 'gens': [10015, 5839, 40831, 5941, 96397]}, 'Perm': {'d': 15, 'gens': [107424540723, 25438618800, 200237909907, 292720826304, 292720826160]}}, 'schur_multiplier': [3, 3, 3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 3, 3, 3], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_9:C_3^3', 'transitive_degree': 81, 'wreath_data': None, 'wreath_product': False}