Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', '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, 2024], [18217, 45296, 30206, 880], [43041, 8362, 43956, 14168], [7191, 29042, 12452, 2024], [41185, 882, 44, 2024]], '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': 25.3, '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, 1058, 1, 5], [22, 1058, 1, 15], [23, 44, 1, 1], [23, 44, 11, 1], [46, 1012, 1, 1], [46, 1012, 11, 1]], '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, 1058, 5], [22, 1058, 15], [23, 44, 12], [46, 1012, 12]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '46552.a', 'commutator_count': 1, 'commutator_label': '11638.22', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '11.1', '23.1', '23.1'], 'composition_length': 6, '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, 1058, 5, 1], [22, 1058, 5, 1], [22, 1058, 10, 1], [23, 44, 1, 1], [23, 44, 11, 1], [46, 1012, 1, 1], [46, 1012, 11, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 1440, 'exponent': 1012, 'exponents_of_order': [3, 2, 1], 'factors_of_aut_order': [2, 11, 23], 'factors_of_order': [2, 11, 23], 'faithful_reps': [[44, 1, 24]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '46552.a', 'hash': 8001351648207747222, 'hyperelementary': 1, 'id': 153860, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 1012, 'inner_gen_orders': [46, 22, 46, 23], 'inner_gens': [[1, 7280, 33814, 1584], [39759, 2, 16940, 8096], [33859, 31682, 44, 44528], [2465, 40482, 4092, 2024]], 'inner_hash': 8001351648207747222, 'inner_nilpotent': False, 'inner_order': 46552, 'inner_split': True, 'inner_tex': 'D_{23}^2:D_{11}', 'inner_used': [1, 2], 'irrC_degree': 44, 'irrQ_degree': 44, 'irrQ_dim': 44, 'irrR_degree': 44, 'irrep_stats': [[1, 4], [2, 21], [44, 24]], 'label': '46552.a', 'linC_count': 24, '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': 24, 'linR_degree': 44, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'D23^2:D11', 'ngens': 6, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 29, 'number_characteristic_subgroups': 10, 'number_conjugacy_classes': 49, 'number_divisions': 12, 'number_normal_subgroups': 10, 'number_subgroup_autclasses': 47, 'number_subgroup_classes': 47, 'number_subgroups': 26362, 'old_label': None, 'order': 46552, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 1081], [4, 11638], [11, 5290], [22, 15870], [23, 528], [46, 12144]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 11, 'outer_gen_orders': [11], 'outer_gen_pows': [9482], 'outer_gens': [[43301, 28778, 46508, 14168]], 'outer_group': '11.1', 'outer_hash': 1, 'outer_nilpotent': True, 'outer_order': 11, 'outer_permdeg': 11, 'outer_perms': [4447025], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_{11}', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 46, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 1], [10, 2], [20, 1], [44, 2], [484, 2]], 'representations': {'PC': {'code': '560400840351995208097766958332331662966330710693498242291647878888145638457712891', 'gens': [1, 2, 4, 6], 'pres': [6, 2, 2, 11, 2, 23, 23, 250800, 87361, 31, 380882, 811539, 203289, 209895, 69, 546484, 22450, 8596, 57029, 145739, 291473, 36455]}, 'Perm': {'d': 46, 'gens': [4611431925783925206182647098209232822158070048417750728423, 3090597174828667965773827252616835498760704556289774904945]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'D_{23}^2:D_{11}', 'transitive_degree': 46, 'wreath_data': None, 'wreath_product': False}