Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '48.44', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 12, 'aut_gen_orders': [2, 2, 2, 6, 6, 2, 6, 4, 3, 6], 'aut_gens': [[1, 4, 24], [73, 4, 24], [1, 4, 120], [3, 20, 120], [121, 94, 110], [49, 20, 26], [1, 20, 24], [99, 22, 26], [37, 22, 120], [49, 4, 24], [99, 88, 108]], 'aut_group': '2304.es', 'aut_hash': 2808593691037597517, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2304, 'aut_permdeg': 13, 'aut_perms': [3129567840, 7, 482671446, 3125123311, 41071, 1, 479041969, 2095309494, 30, 498728928], 'aut_phi_ratio': 48.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 6, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [4, 3, 8, 1], [6, 1, 2, 1], [6, 1, 12, 1], [6, 2, 1, 1], [6, 2, 2, 1], [6, 2, 6, 1], [6, 2, 12, 1], [12, 3, 16, 1]], 'aut_supersolvable': False, 'aut_tex': 'S_3\\times C_2^4:S_4', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 12, 'autcent_group': '384.20089', 'autcent_hash': 20089, 'autcent_nilpotent': False, 'autcent_order': 384, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2^4:S_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '6.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 6, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3', 'cc_stats': [[1, 1, 1], [2, 1, 7], [3, 1, 2], [3, 2, 3], [4, 3, 8], [6, 1, 14], [6, 2, 21], [12, 3, 16]], 'center_label': '24.15', 'center_order': 24, 'central_product': True, 'central_quotient': '6.1', 'commutator_count': 1, 'commutator_label': '3.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 166, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['12.1', 1], ['2.1', 2], ['3.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [4, 3, 2, 4], [6, 1, 2, 7], [6, 2, 1, 7], [6, 2, 2, 7], [12, 3, 4, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 364, 'exponent': 12, 'exponents_of_order': [4, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '72.48', 'hash': 166, 'hyperelementary': 1, 'id': 27323, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 1, 3], 'inner_gens': [[1, 4, 120], [1, 4, 24], [49, 4, 24]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 6, 'inner_split': True, 'inner_tex': 'S_3', 'inner_used': [1, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 48], [2, 24]], 'label': '144.166', 'linC_count': 8736, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 5, 'linQ_degree_count': 96, 'linQ_dim': 6, 'linQ_dim_count': 96, 'linR_count': 96, 'linR_degree': 5, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C6^2:C4', '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': 14, 'number_characteristic_subgroups': 14, 'number_conjugacy_classes': 72, 'number_divisions': 40, 'number_normal_subgroups': 86, 'number_subgroup_autclasses': 42, 'number_subgroup_classes': 124, 'number_subgroups': 184, 'old_label': None, 'order': 144, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 7], [3, 8], [4, 24], [6, 56], [12, 48]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 3, 2, 2, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 0, 0, 0, 0, 0], 'outer_gens': [[1, 76, 24], [3, 20, 24], [1, 76, 108], [1, 6, 24], [1, 4, 26], [85, 4, 24], [73, 4, 24], [3, 4, 24]], 'outer_group': '384.20089', 'outer_hash': 20089, 'outer_nilpotent': False, 'outer_order': 384, 'outer_permdeg': 10, 'outer_perms': [2329, 374407, 7488, 848928, 1270440, 11520, 1566, 374406], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2^4:S_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 14, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 20], [4, 12]], 'representations': {'PC': {'code': 29257807115109701, 'gens': [1, 3, 5], 'pres': [6, -2, -2, -2, -3, -2, -3, 12, 50, 3604, 88, 3461]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [24992906222183252, 125101740703285165, 25038645864735624]}, 'GLZN': {'d': 2, 'p': 20, 'gens': [157641, 156209, 90316, 72009, 95028, 76219]}, 'Perm': {'d': 14, 'gens': [6266937729, 13412044816, 6266937616, 403200, 16, 840]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 12], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_6^2:C_4', 'transitive_degree': 48, 'wreath_data': None, 'wreath_product': False}