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': 3, 'aut_exponent': 18, 'aut_gen_orders': [6, 6, 9, 6], 'aut_gens': [[24577758, 24507118, 2939606, 36731395, 14159168, 35376673], [37010401, 14582400, 14686477, 2939606, 8188666, 8713305], [2939606, 7245169, 24577758, 37010401, 14159168, 16261147], [32864349, 2794104, 43014227, 36731395, 14254600, 27828129], [7138662, 20533219, 2939606, 36731395, 39177185, 39805856]], 'aut_group': None, 'aut_hash': 4498663051369005763, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 52488, 'aut_permdeg': 99, 'aut_perms': [49410327038682731861394074394490360637917649589600472698633996958542500820323723614149787225714446876746986706978381504474535886869705454622212312453396247, 702633686408406593583143930767045084291589554751342187071878290914740020847601430061047439300901632723924433728976829055041947730887902562010539604221830861, 303765419944567440006671528531398863766962877437220680464921838048834100478005134913523025291962641551797014476963862504885897762886802750002724398763928541, 754348079244638627494869490799900887144471134261816561678599479270820165807350259049269381696527036600535202282661197304643092051474808218057748993188515208], 'aut_phi_ratio': 324.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 81, 1, 1], [3, 2, 1, 1], [3, 2, 3, 1], [3, 6, 1, 1], [3, 6, 2, 1], [3, 6, 9, 1], [3, 9, 2, 1], [3, 18, 2, 1], [6, 81, 2, 1], [9, 18, 6, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_3^4.C_3^4.C_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': 18, 'autcentquo_group': None, 'autcentquo_hash': 4498663051369005763, 'autcentquo_nilpotent': False, 'autcentquo_order': 52488, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_3^4.C_3^4.C_2^3', 'cc_stats': [[1, 1, 1], [2, 81, 1], [3, 2, 4], [3, 6, 12], [3, 9, 2], [3, 18, 2], [6, 81, 2], [9, 18, 6]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '486.167', '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': 167, '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, 6, 1, 12], [3, 9, 2, 1], [3, 18, 2, 1], [6, 81, 2, 1], [9, 18, 2, 3]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 1092, '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': 167, 'hyperelementary': 1, 'id': 129714, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [3, 3, 3, 3, 2, 3], 'inner_gens': [[24577758, 24507118, 2939606, 36731395, 8188666, 9651067], [24577758, 24507118, 2939606, 36731395, 8314856, 1305905], [24577758, 24507118, 2939606, 36731395, 39300942, 17937568], [24577758, 24507118, 2939606, 36731395, 17350487, 17937568], [20201582, 20254942, 32864349, 11225629, 14159168, 17835718], [7138662, 42750636, 20201582, 11537230, 17392559, 35376673]], 'inner_hash': 167, 'inner_nilpotent': False, 'inner_order': 486, 'inner_split': True, 'inner_tex': 'C_3^4:C_6', 'inner_used': [1, 2, 3, 4, 5, 6], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 6], [2, 12], [6, 12]], 'label': '486.167', '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': 11, 'number_characteristic_subgroups': 11, 'number_conjugacy_classes': 30, 'number_divisions': 24, 'number_normal_subgroups': 22, 'number_subgroup_autclasses': 67, 'number_subgroup_classes': 204, 'number_subgroups': 3032, 'old_label': None, 'order': 486, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 81], [3, 134], [6, 162], [9, 108]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 6, 'outer_gen_orders': [3, 3, 2, 2, 6], 'outer_gen_pows': [14408200, 14408200, 14408200, 14408200, 14408200], 'outer_gens': [[32864349, 7245169, 43014227, 11537230, 14159168, 17937568], [24577758, 7245169, 2939606, 36731395, 14159168, 35376673], [14686477, 14633333, 11225629, 32864349, 14159168, 4514276], [36731395, 36804465, 14729278, 24577758, 14159168, 23409962], [11537230, 20327769, 14729278, 24577758, 14159168, 21835283]], 'outer_group': '108.28', 'outer_hash': 28, 'outer_nilpotent': False, 'outer_order': 108, 'outer_permdeg': 11, 'outer_perms': [24520008, 18235470, 1, 184680, 5171761], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_3^2:D_6', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 12, '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': 1803166355202868771024991, 'gens': [1, 3, 4, 5, 6], 'pres': [6, -2, -3, -3, -3, -3, -3, 12, 866, 1844, 8643, 4113, 3244, 11669]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [24577758, 24507118, 2939606, 36731395, 14159168, 35376673]}, 'Perm': {'d': 12, 'gens': [1502665, 47917560, 11294643, 4, 15040224, 92348664]}}, 'schur_multiplier': [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': 27, 'wreath_data': None, 'wreath_product': False}