Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '12.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 36, 'aut_gen_orders': [6, 6, 2], 'aut_gens': [[1, 6, 36, 108], [272, 261, 108, 12], [22, 45, 216, 24], [235, 318, 216, 72]], 'aut_group': '2592.cg', 'aut_hash': 1290607906254643219, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2592, 'aut_permdeg': 29, 'aut_perms': [6030779864169529257962094341243, 6952577193349652881515423628509, 4566828588571941307494487029827], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 3, 1], [3, 1, 2, 1], [3, 2, 3, 1], [3, 2, 6, 1], [3, 4, 2, 1], [3, 4, 3, 1], [3, 4, 4, 1], [3, 4, 6, 1], [6, 9, 6, 1], [6, 18, 3, 1], [6, 18, 6, 1]], 'aut_supersolvable': False, 'aut_tex': 'S_3^3:D_6', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 2, 'autcent_group': '2.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 2, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2', '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, 9, 3], [3, 1, 2], [3, 2, 9], [3, 4, 15], [6, 9, 6], [6, 18, 9]], 'center_label': '3.1', 'center_order': 3, 'central_product': True, 'central_quotient': '108.40', 'commutator_count': 1, 'commutator_label': '27.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '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': [['108.40', 1], ['3.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 3], [3, 1, 2, 1], [3, 2, 1, 3], [3, 2, 2, 3], [3, 4, 1, 3], [3, 4, 2, 6], [6, 9, 2, 3], [6, 18, 1, 3], [6, 18, 2, 3]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 4, 'exponent': 6, 'exponents_of_order': [4, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[4, 0, 4]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '324.167', 'hash': 167, 'hyperelementary': 1, 'id': 148650, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 6, 3, 3], 'inner_gens': [[1, 30, 72, 108], [13, 6, 72, 216], [73, 78, 36, 108], [1, 222, 36, 108]], 'inner_hash': 40, 'inner_nilpotent': False, 'inner_order': 108, 'inner_split': True, 'inner_tex': 'C_3:S_3^2', 'inner_used': [1, 2, 3, 4], 'irrC_degree': 4, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 12], [2, 18], [4, 15]], 'label': '324.167', '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': 'C3wrC2^2', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 12, 'number_characteristic_subgroups': 6, 'number_conjugacy_classes': 45, 'number_divisions': 29, 'number_normal_subgroups': 30, 'number_subgroup_autclasses': 57, 'number_subgroup_classes': 174, 'number_subgroups': 736, 'old_label': None, 'order': 324, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 27], [3, 80], [6, 216]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 6, 'outer_gen_orders': [2, 2, 6], 'outer_gen_pows': [0, 20, 0], 'outer_gens': [[5, 6, 36, 108], [19, 6, 108, 72], [19, 219, 24, 36]], 'outer_group': '24.14', 'outer_hash': 14, 'outer_nilpotent': False, 'outer_order': 24, 'outer_permdeg': 7, 'outer_perms': [7, 136, 856], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times D_6', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 12, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 10], [4, 9], [8, 6]], 'representations': {'PC': {'code': 78354709126453527605591, 'gens': [1, 3, 5, 6], 'pres': [6, -2, -3, -2, -3, -3, -3, 12, 542, 50, 579, 2164, 376, 1313]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [24577758, 26172358, 15477644, 24507118, 2939606, 36731395]}, 'Perm': {'d': 12, 'gens': [263727360, 131725890, 43591107, 43626483, 43626388, 79914387]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 6], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3\\wr C_2^2', 'transitive_degree': 12, 'wreath_data': ['C_3', 'C_2^2', '4T2'], 'wreath_product': True}