Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '12.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 72, 'aut_gen_orders': [6, 12, 72], 'aut_gens': [[1, 6, 108, 324], [49, 210, 648, 216], [97, 606, 756, 864], [49, 474, 648, 864]], 'aut_group': None, 'aut_hash': 432580839939191038, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 23328, 'aut_permdeg': 18, 'aut_perms': [2476721384596481, 5614728364055643, 2832383801997727], 'aut_phi_ratio': 72.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 2], [2, 81, 1, 1], [3, 2, 1, 1], [3, 2, 4, 1], [3, 3, 1, 2], [3, 4, 4, 1], [3, 6, 4, 2], [6, 9, 1, 2], [6, 18, 1, 1], [6, 18, 4, 3], [6, 27, 1, 2], [6, 81, 1, 2], [9, 6, 1, 3], [9, 12, 4, 3], [18, 54, 1, 3]], 'aut_supersolvable': False, 'aut_tex': 'D_9:C_3\\times \\AGL(2,3)', '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': 72, 'autcentquo_group': None, 'autcentquo_hash': 432580839939191038, 'autcentquo_nilpotent': False, 'autcentquo_order': 23328, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'D_9:C_3\\times \\AGL(2,3)', 'cc_stats': [[1, 1, 1], [2, 9, 2], [2, 81, 1], [3, 2, 5], [3, 3, 2], [3, 4, 4], [3, 6, 8], [6, 9, 2], [6, 18, 13], [6, 27, 2], [6, 81, 2], [9, 6, 3], [9, 12, 12], [18, 54, 3]], 'center_label': '1.1', 'center_order': 1, 'central_product': True, 'central_quotient': '972.792', 'commutator_count': 1, 'commutator_label': '81.11', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 792, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['18.4', 1], ['54.6', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 2], [2, 81, 1, 1], [3, 2, 1, 5], [3, 3, 2, 1], [3, 4, 1, 4], [3, 6, 2, 4], [6, 9, 2, 1], [6, 18, 1, 5], [6, 18, 2, 4], [6, 27, 2, 1], [6, 81, 2, 1], [9, 6, 1, 1], [9, 6, 2, 1], [9, 12, 1, 4], [9, 12, 2, 4], [18, 54, 1, 1], [18, 54, 2, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 13104, 'exponent': 18, 'exponents_of_order': [5, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '324.166', 'hash': 792, 'hyperelementary': 1, 'id': 318081, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [6, 18, 3, 3], 'inner_gens': [[1, 30, 108, 324], [85, 6, 216, 648], [1, 222, 108, 324], [1, 654, 108, 324]], 'inner_hash': 792, 'inner_nilpotent': False, 'inner_order': 972, 'inner_split': False, 'inner_tex': 'C_3^3.S_3^2', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 12], [2, 30], [4, 12], [6, 2], [12, 4]], 'label': '972.792', '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': 'C3^3.S3^2', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 30, 'number_characteristic_subgroups': 23, 'number_conjugacy_classes': 60, 'number_divisions': 42, 'number_normal_subgroups': 51, 'number_subgroup_autclasses': 130, 'number_subgroup_classes': 336, 'number_subgroups': 2892, 'old_label': None, 'order': 972, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 99], [3, 80], [6, 468], [9, 162], [18, 162]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [2, 3, 2, 2], 'outer_gen_pows': [0, 0, 54, 54], 'outer_gens': [[1, 6, 108, 756], [1, 6, 648, 756], [1, 6, 540, 432], [1, 6, 648, 108]], 'outer_group': '24.12', 'outer_hash': 12, 'outer_nilpotent': False, 'outer_order': 24, 'outer_permdeg': 4, 'outer_perms': [2, 4, 16, 7], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'S_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 14], [4, 14], [6, 2], [8, 4], [12, 4]], 'representations': {'PC': {'code': 13346360165414839265281553150504453807, 'gens': [1, 3, 6, 7], 'pres': [7, -2, -3, -2, -3, -3, -3, -3, 14, 632, 450, 58, 1683, 1186, 108, 2524, 1531, 5312]}, 'GLZN': {'d': 2, 'p': 90, 'gens': [44469001, 44962231, 65099771, 13858289, 879733, 1097596, 731701]}, 'Perm': {'d': 15, 'gens': [14382023040, 25, 19334694960, 144, 243, 113534351280, 195089010480]}}, 'schur_multiplier': [6], '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_3^3.S_3^2', 'transitive_degree': 54, 'wreath_data': None, 'wreath_product': False}