Query:
/api/gps_groups/?_offset=0
{'Agroup': False, '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, 3, 9], 'aut_gens': [[1, 2, 12, 108], [1, 10, 84, 252], [9, 2, 168, 252], [145, 182, 12, 108], [289, 98, 12, 108]], 'aut_group': '972.446', 'aut_hash': 446, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 972, 'aut_permdeg': 36, 'aut_perms': [4387336787041056442600191117718443088592, 226854203950339251118814743240536931127065, 80985653659974563369346690299631771724696, 129664080981037458712335778121209234907847], 'aut_phi_ratio': 9.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 27, 1, 2], [3, 2, 1, 1], [3, 6, 1, 1], [3, 18, 1, 1], [6, 18, 1, 1], [6, 54, 1, 2], [9, 6, 3, 1], [9, 36, 1, 1], [18, 18, 3, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_3^3.S_3^2', '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': '972.446', 'autcentquo_hash': 446, 'autcentquo_nilpotent': False, 'autcentquo_order': 972, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_3^3.S_3^2', 'cc_stats': [[1, 1, 1], [2, 9, 1], [2, 27, 2], [3, 2, 1], [3, 6, 1], [3, 18, 1], [6, 18, 1], [6, 54, 2], [9, 6, 3], [9, 36, 1], [18, 18, 3]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '324.40', 'commutator_count': 1, 'commutator_label': '81.8', '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': 40, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 27, 1, 2], [3, 2, 1, 1], [3, 6, 1, 1], [3, 18, 1, 1], [6, 18, 1, 1], [6, 54, 1, 2], [9, 6, 3, 1], [9, 36, 1, 1], [18, 18, 3, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 18, 'exponent': 18, 'exponents_of_order': [4, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[6, 1, 6]], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '36.10', 'hash': 40, 'hyperelementary': 1, 'id': 148671, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [2, 6, 9, 3], 'inner_gens': [[1, 10, 12, 252], [5, 2, 312, 288], [1, 134, 12, 108], [289, 254, 12, 108]], 'inner_hash': 40, 'inner_nilpotent': False, 'inner_order': 324, 'inner_split': True, 'inner_tex': 'C_3^2.S_3^2', 'inner_used': [1, 2, 3], 'irrC_degree': 6, 'irrQ_degree': 18, 'irrQ_dim': 18, 'irrR_degree': 6, 'irrep_stats': [[1, 4], [2, 4], [4, 1], [6, 8]], 'label': '324.40', 'linC_count': 6, 'linC_degree': 6, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 18, 'linQ_degree_count': 2, 'linQ_dim': 18, 'linQ_dim_count': 2, 'linR_count': 6, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C3^2.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': 13, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 17, 'number_divisions': 13, 'number_normal_subgroups': 12, 'number_subgroup_autclasses': 54, 'number_subgroup_classes': 54, 'number_subgroups': 524, 'old_label': None, 'order': 324, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 63], [3, 26], [6, 126], [9, 54], [18, 54]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 3, 'outer_gen_orders': [3], 'outer_gen_pows': [6], 'outer_gens': [[1, 2, 24, 216]], 'outer_group': '3.1', 'outer_hash': 1, 'outer_nilpotent': True, 'outer_order': 3, 'outer_permdeg': 3, 'outer_perms': [3], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_3', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 27, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 1], [6, 2], [18, 2]], 'representations': {'PC': {'code': 15883881145436870996513645304463, 'gens': [1, 2, 4, 6], 'pres': [6, -2, -2, -3, -3, -3, 3, 121, 31, 146, 3753, 1599, 93, 1090, 9077, 5195, 1637]}, 'Perm': {'d': 27, 'gens': [81081325226784534221250, 15512334169461745032023162, 7968932336080457589399552000, 2516538717432998141660098080, 418802676036117248219142964, 806634631153204606767248884]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 10, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^2.S_3^2', 'transitive_degree': 27, 'wreath_data': None, 'wreath_product': False}