Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 36, 'aut_gen_orders': [4, 2, 2, 3, 3], 'aut_gens': [[1, 2, 12, 72], [222, 29, 260, 72], [217, 50, 60, 72], [1, 218, 12, 72], [1, 2, 156, 72], [222, 204, 77, 220]], 'aut_group': '10368.bb', 'aut_hash': 633380781765585004, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 10368, 'aut_permdeg': 18, 'aut_perms': [4476211833579473, 356242689296654, 357415511760, 11863241120509, 4472812784696196], 'aut_phi_ratio': 72.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 6, 3, 1], [3, 2, 3, 1], [3, 4, 3, 1], [3, 8, 1, 1], [4, 18, 3, 1], [4, 27, 2, 1], [6, 2, 3, 1], [6, 4, 3, 1], [6, 8, 1, 1], [6, 12, 6, 2], [12, 36, 3, 1]], 'aut_supersolvable': False, 'aut_tex': 'D_6\\wr S_3', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '8.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 36, 'autcentquo_group': '1296.3490', 'autcentquo_hash': 3490, 'autcentquo_nilpotent': False, 'autcentquo_order': 1296, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_3\\wr S_3', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 6, 3], [3, 2, 3], [3, 4, 3], [3, 8, 1], [4, 18, 3], [4, 27, 2], [6, 2, 3], [6, 4, 3], [6, 8, 1], [6, 12, 12], [12, 36, 3]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '216.162', 'commutator_count': 1, 'commutator_label': '54.15', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 610, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 6, 1, 3], [3, 2, 1, 3], [3, 4, 1, 3], [3, 8, 1, 1], [4, 18, 1, 3], [4, 27, 2, 1], [6, 2, 1, 3], [6, 4, 1, 3], [6, 8, 1, 1], [6, 12, 1, 12], [12, 36, 1, 3]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 1792, 'exponent': 12, 'exponents_of_order': [4, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[8, -1, 1]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '216.162', 'hash': 610, 'hyperelementary': 1, 'id': 152883, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 6, 6, 3], 'inner_gens': [[1, 226, 228, 72], [221, 2, 276, 72], [217, 242, 12, 360], [1, 2, 156, 72]], 'inner_hash': 162, 'inner_nilpotent': False, 'inner_order': 216, 'inner_split': True, 'inner_tex': 'S_3^3', 'inner_used': [1, 2, 3, 4], 'irrC_degree': 8, 'irrQ_degree': 8, 'irrQ_dim': 16, 'irrR_degree': 16, 'irrep_stats': [[1, 8], [2, 14], [4, 15], [8, 2]], 'label': '432.610', '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': 'C2.S3^3', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 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': 14, 'number_characteristic_subgroups': 7, 'number_conjugacy_classes': 39, 'number_divisions': 38, 'number_normal_subgroups': 46, 'number_subgroup_autclasses': 70, 'number_subgroup_classes': 214, 'number_subgroups': 1076, 'old_label': None, 'order': 432, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 19], [3, 26], [4, 108], [6, 170], [12, 108]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 3, 2, 2], 'outer_gen_pows': [42, 0, 259, 0, 0], 'outer_gens': [[1, 44, 366, 264], [1, 2, 228, 360], [6, 12, 289, 220], [1, 2, 60, 72], [1, 2, 12, 360]], 'outer_group': '48.48', 'outer_hash': 48, 'outer_nilpotent': False, 'outer_order': 48, 'outer_permdeg': 6, 'outer_perms': [143, 127, 576, 126, 121], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2\\times S_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 17, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 12], [4, 16], [8, 2]], 'representations': {'PC': {'code': 9044686963670919677305272275105045, 'gens': [1, 2, 4, 6], 'pres': [7, -2, -2, -3, -2, -3, -2, -3, 3165, 36, 170, 6387, 3874, 80, 851, 1286, 124, 1203]}, 'Perm': {'d': 17, 'gens': [4284230227336, 21371697849743, 47096395320240, 67040185766400, 45360, 325, 435]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2.S_3^3', 'transitive_degree': 48, 'wreath_data': None, 'wreath_product': False}