Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '18.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 24, 'aut_gen_orders': [3, 2, 3, 3, 3, 2], 'aut_gens': [[736, 2918, 757, 1027], [736, 3431, 757, 1027], [736, 2918, 784, 973], [736, 2972, 757, 1027], [736, 2918, 973, 1027], [5107, 5111, 757, 1027], [733, 2918, 757, 1027]], 'aut_group': '20736.pd', 'aut_hash': 2986519587559918118, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 20736, 'aut_permdeg': 17, 'aut_perms': [176625221068800, 4197015660316, 25113582144000, 5331894180480, 37249, 10855], 'aut_phi_ratio': 384.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [3, 1, 8, 1], [3, 2, 4, 1], [3, 2, 32, 1], [6, 9, 8, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^2:\\GL(2,3)\\times \\GL(2,3)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 24, 'autcent_group': '48.29', 'autcent_hash': 29, 'autcent_nilpotent': False, 'autcent_order': 48, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': '\\GL(2,3)', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '432.734', 'autcentquo_hash': 734, 'autcentquo_nilpotent': False, 'autcentquo_order': 432, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^2:\\GL(2,3)', 'cc_stats': [[1, 1, 1], [2, 9, 1], [3, 1, 8], [3, 2, 36], [6, 9, 8]], 'center_label': '9.2', 'center_order': 9, 'central_product': True, 'central_quotient': '18.4', 'commutator_count': 1, 'commutator_label': '9.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 52, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['18.4', 1], ['3.1', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [3, 1, 2, 4], [3, 2, 1, 4], [3, 2, 2, 16], [6, 9, 2, 4]], 'element_repr_type': 'GLZq', 'elementary': 1, 'eulerian_function': 91, 'exponent': 6, 'exponents_of_order': [4, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '162.52', 'hash': 52, 'hyperelementary': 1, 'id': 529228, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [1, 2, 3, 3], 'inner_gens': [[736, 2918, 757, 1027], [736, 2918, 784, 1243], [736, 2945, 757, 1027], [736, 3458, 757, 1027]], 'inner_hash': 4, 'inner_nilpotent': False, 'inner_order': 18, 'inner_split': False, 'inner_tex': 'C_3:S_3', 'inner_used': [2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 18], [2, 36]], 'label': '162.52', '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': 'C3^2wrC2', 'ngens': 5, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 6, 'number_characteristic_subgroups': 6, 'number_conjugacy_classes': 54, 'number_divisions': 30, 'number_normal_subgroups': 42, 'number_subgroup_autclasses': 23, 'number_subgroup_classes': 160, 'number_subgroups': 344, 'old_label': None, 'order': 162, 'order_factorization_type': 31, 'order_stats': [[1, 1], [2, 9], [3, 80], [6, 72]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 24, 'outer_gen_orders': [2, 6, 2, 6, 4, 4], 'outer_gen_pows': [730, 730, 2918, 2918, 730, 730], 'outer_gens': [[733, 5108, 1243, 784], [733, 2921, 1243, 1270], [736, 2918, 1216, 1000], [5110, 731, 1243, 757], [5104, 5105, 757, 1027], [5107, 731, 757, 1027]], 'outer_group': '1152.157461', 'outer_hash': 7371672288863537087, 'outer_nilpotent': False, 'outer_order': 1152, 'outer_permdeg': 12, 'outer_perms': [1, 18594004, 23, 7711327, 303055320, 44352840], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'S_4\\times \\GL(2,3)', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 12, 'pgroup': 0, 'primary_abelian_invariants': [2, 3, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 12], [4, 16]], 'representations': {'PC': {'code': 14018986071, 'gens': [1, 2, 4, 5], 'pres': [5, -3, -2, -3, -3, -3, 26, 248, 909]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [24577758, 15477644, 24507118, 2939606, 36731395]}, 'GLZq': {'d': 2, 'q': 9, 'gens': [757, 733, 3220, 737, 2920]}, 'Perm': {'d': 12, 'gens': [40723336, 91451125, 325, 435, 130682595]}}, 'schur_multiplier': [3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3, 6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^2\\wr C_2', 'transitive_degree': 18, 'wreath_data': ['C_3^2', 'C_2', '2T1'], 'wreath_product': True}