Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '44.4', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 1012, 'aut_gen_orders': [22, 22, 506, 23], 'aut_gens': [[1, 2, 44, 22264], [462733, 135562, 505342, 9680], [150081, 43562, 347556, 155848], [238131, 67762, 61028, 22264], [283625, 12586, 44, 22264]], 'aut_group': '512072.a', 'aut_hash': 7624117046359661246, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 512072, 'aut_permdeg': 552, 'aut_perms': 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'aut_phi_ratio': 2.3, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 46, 1, 1], [2, 506, 1, 1], [2, 529, 1, 1], [4, 11638, 1, 1], [11, 46, 1, 10], [11, 529, 1, 10], [11, 1058, 1, 45], [22, 46, 1, 10], [22, 529, 1, 10], [22, 1058, 1, 165], [22, 11638, 1, 10], [23, 44, 1, 1], [23, 484, 1, 1], [44, 11638, 1, 10], [46, 1012, 1, 1], [46, 11132, 1, 1], [253, 1012, 1, 10], [506, 1012, 1, 10]], 'aut_supersolvable': False, 'aut_tex': 'F_{23}\\wr C_2', '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': 1012, 'autcentquo_group': '512072.a', 'autcentquo_hash': 7624117046359661246, 'autcentquo_nilpotent': False, 'autcentquo_order': 512072, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'F_{23}\\wr C_2', 'cc_stats': [[1, 1, 1], [2, 46, 1], [2, 506, 1], [2, 529, 1], [4, 11638, 1], [11, 46, 10], [11, 529, 10], [11, 1058, 45], [22, 46, 10], [22, 529, 10], [22, 1058, 165], [22, 11638, 10], [23, 44, 1], [23, 484, 1], [44, 11638, 10], [46, 1012, 1], [46, 11132, 1], [253, 1012, 10], [506, 1012, 10]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '512072.a', 'commutator_count': 1, 'commutator_label': '11638.22', 'complements_known': True, 'complete': True, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '11.1', '11.1', '23.1', '23.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 1, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 46, 1, 1], [2, 506, 1, 1], [2, 529, 1, 1], [4, 11638, 1, 1], [11, 46, 10, 1], [11, 529, 10, 1], [11, 1058, 5, 1], [11, 1058, 10, 4], [22, 46, 10, 1], [22, 529, 10, 1], [22, 1058, 5, 1], [22, 1058, 10, 16], [22, 11638, 10, 1], [23, 44, 1, 1], [23, 484, 1, 1], [44, 11638, 10, 1], [46, 1012, 1, 1], [46, 11132, 1, 1], [253, 1012, 10, 1], [506, 1012, 10, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 172800, 'exponent': 1012, 'exponents_of_order': [3, 2, 2], 'factors_of_aut_order': [2, 11, 23], 'factors_of_order': [2, 11, 23], 'faithful_reps': [[44, 0, 20], [44, 1, 2], [484, 1, 2]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '512072.a', 'hash': 7624117046359661246, 'hyperelementary': 1, 'id': 155669, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 1012, 'inner_gen_orders': [22, 22, 506, 23], 'inner_gens': [[1, 452098, 57158, 1936], [24205, 2, 239140, 222640], [239139, 295242, 44, 155848], [42593, 311698, 378532, 22264]], 'inner_hash': 7624117046359661246, 'inner_nilpotent': False, 'inner_order': 512072, 'inner_split': True, 'inner_tex': 'F_{23}\\wr C_2', 'inner_used': [1, 2, 3], 'irrC_degree': 44, 'irrQ_degree': 44, 'irrQ_dim': 44, 'irrR_degree': 44, 'irrep_stats': [[1, 44], [2, 231], [44, 22], [484, 2]], 'label': '512072.a', 'linC_count': 22, 'linC_degree': 44, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 44, 'linQ_degree_count': 2, 'linQ_dim': 44, 'linQ_dim_count': 2, 'linR_count': 2, 'linR_degree': 44, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'F23wrC2', '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, 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': 299, 'number_characteristic_subgroups': 19, 'number_conjugacy_classes': 299, 'number_divisions': 39, 'number_normal_subgroups': 19, 'number_subgroup_autclasses': 194, 'number_subgroup_classes': 194, 'number_subgroups': 93140, 'old_label': None, 'order': 512072, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 1081], [4, 11638], [11, 53360], [22, 296700], [23, 528], [44, 116380], [46, 12144], [253, 10120], [506, 10120]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 1, 'outer_gen_orders': [], 'outer_gen_pows': [], 'outer_gens': [], 'outer_group': '1.1', 'outer_hash': 1, 'outer_nilpotent': True, 'outer_order': 1, 'outer_permdeg': 1, 'outer_perms': [], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_1', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 46, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 11], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 1], [10, 6], [20, 22], [44, 2], [440, 2], [484, 2]], 'representations': {'PC': {'code': '2009512658161263764406495818022110616039706956299674565163040514242083078967261616350490708237669655345405470956773691013965559', 'gens': [1, 2, 4, 7], 'pres': [7, 2, 2, 11, 2, 11, 23, 23, 17332, 6329373, 36, 10449434, 1600427, 3347970, 2947885, 80, 4102704, 4473711, 1330578, 417, 1870181, 142308, 30511, 94870, 5454693, 2181892, 173585, 37225]}, 'Perm': {'d': 46, 'gens': [970417196495182273109274329196674182628710082377058649424, 4736529592668538766970483987095405186160907775497953591576]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 22], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'F_{23}\\wr C_2', 'transitive_degree': 46, 'wreath_data': ['F_{23}', 'C_2', '2T1'], 'wreath_product': True}