Query:
/api/gps_groups/?_offset=0
{'Agroup': True, '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': 18, 'aut_gen_orders': [6, 6, 6, 6], 'aut_gens': [[1, 2, 12, 36], [261, 122, 24, 72], [293, 130, 24, 76], [153, 34, 12, 292], [225, 142, 24, 260]], 'aut_group': None, 'aut_hash': 712469778859391980, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 17496, 'aut_permdeg': 30, 'aut_perms': [1434086728903884537036436003933, 5808952747685389265352600257769, 75279762753967006643707820833065, 143791484682716772336907204478706], 'aut_phi_ratio': 162.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 27, 1, 1], [2, 81, 1, 1], [3, 2, 1, 2], [3, 2, 3, 1], [3, 4, 1, 1], [3, 4, 3, 1], [6, 6, 1, 1], [6, 6, 3, 1], [6, 54, 1, 1], [9, 2, 9, 1], [9, 4, 9, 1], [18, 6, 9, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_3^4:C_3.D_6\\times S_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': 18, 'autcentquo_group': None, 'autcentquo_hash': 712469778859391980, 'autcentquo_nilpotent': False, 'autcentquo_order': 17496, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_3^4:C_3.D_6\\times S_3', 'cc_stats': [[1, 1, 1], [2, 3, 1], [2, 27, 1], [2, 81, 1], [3, 2, 5], [3, 4, 4], [6, 6, 4], [6, 54, 1], [9, 2, 9], [9, 4, 9], [18, 6, 9]], 'center_label': '1.1', 'center_order': 1, 'central_product': True, 'central_quotient': '324.120', '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'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 120, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['54.7', 1], ['6.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 27, 1, 1], [2, 81, 1, 1], [3, 2, 1, 5], [3, 4, 1, 4], [6, 6, 1, 4], [6, 54, 1, 1], [9, 2, 3, 3], [9, 4, 3, 3], [18, 6, 3, 3]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 672, 'exponent': 18, 'exponents_of_order': [4, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '108.39', 'hash': 120, 'hyperelementary': 1, 'id': 109157, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [2, 6, 3, 9], 'inner_gens': [[1, 10, 12, 288], [5, 2, 24, 36], [1, 26, 12, 36], [73, 2, 12, 36]], 'inner_hash': 120, 'inner_nilpotent': False, 'inner_order': 324, 'inner_split': True, 'inner_tex': 'C_9:S_3^2', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 4], [2, 28], [4, 13]], 'label': '324.120', 'linC_count': 648, 'linC_degree': 6, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 90, 'linQ_dim': 10, 'linQ_dim_count': 90, 'linR_count': 648, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C9:S3^2', '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': 15, 'number_characteristic_subgroups': 16, 'number_conjugacy_classes': 45, 'number_divisions': 27, 'number_normal_subgroups': 34, 'number_subgroup_autclasses': 74, 'number_subgroup_classes': 130, 'number_subgroups': 1216, 'old_label': None, 'order': 324, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 111], [3, 26], [6, 78], [9, 54], [18, 54]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [3, 3, 3, 2], 'outer_gen_pows': [1, 0, 0, 0], 'outer_gens': [[1, 10, 12, 76], [1, 110, 12, 252], [1, 2, 12, 144], [1, 10, 12, 36]], 'outer_group': '54.8', 'outer_hash': 8, 'outer_nilpotent': False, 'outer_order': 54, 'outer_permdeg': 9, 'outer_perms': [135335, 222105, 98499, 10882], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_3^2:S_3', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 10], [4, 4], [6, 6], [12, 3]], 'representations': {'PC': {'code': 698946128316788348476559, 'gens': [1, 2, 4, 5], 'pres': [6, -2, -2, -3, -3, -3, -3, 121, 31, 146, 297, 8644, 118, 7781]}, 'GLZN': {'d': 2, 'p': 54, 'gens': [158437, 3046285, 158219, 4174280, 4489183, 157789]}, 'Perm': {'d': 15, 'gens': [88216128000, 88698771415, 193999334458, 193999276800, 280259481600, 104227]}}, 'schur_multiplier': [6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_9:S_3^2', 'transitive_degree': 54, 'wreath_data': None, 'wreath_product': False}