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': 3, 'aut_exponent': 12, 'aut_gen_orders': [2, 2, 2, 2, 3, 3, 3, 2, 2], 'aut_gens': [[374400, 379560, 4, 7, 16, 856920, 1210440], [379560, 374400, 4, 7, 16, 897120, 1250640], [374400, 379560, 4, 7, 16, 1250640, 1210440], [374400, 379560, 3, 23, 16, 856920, 1210440], [374400, 379560, 4, 7, 16, 1250640, 897120], [374400, 379560, 4, 23, 7, 856920, 1210440], [1588320, 1538640, 4, 7, 16, 856920, 1210440], [1588320, 379560, 4, 7, 16, 856920, 1210440], [374400, 379560, 8, 7, 16, 856920, 1210440], [374400, 379560, 19, 7, 16, 856920, 1210440]], 'aut_group': '1728.47847', 'aut_hash': 47847, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1728, 'aut_permdeg': 14, 'aut_perms': [2917993887, 3030, 63175369250, 3875969766, 50321387558, 3875987871, 3875967585, 12968461736, 50483197490], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 3, 1, 1], [2, 3, 2, 1], [2, 9, 1, 1], [2, 9, 2, 1], [2, 27, 1, 1], [3, 2, 2, 1], [3, 4, 1, 1], [3, 4, 2, 1], [3, 8, 4, 1], [3, 16, 2, 1], [6, 6, 2, 2], [6, 12, 1, 1], [6, 12, 4, 1], [6, 18, 2, 1], [6, 24, 4, 1], [6, 36, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'D_6^2:D_6', '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': 12, 'autcentquo_group': '1728.47847', 'autcentquo_hash': 47847, 'autcentquo_nilpotent': False, 'autcentquo_order': 1728, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'D_6^2:D_6', 'cc_stats': [[1, 1, 1], [2, 3, 3], [2, 9, 3], [2, 27, 1], [3, 2, 2], [3, 4, 3], [3, 8, 4], [3, 16, 2], [6, 6, 4], [6, 12, 5], [6, 18, 2], [6, 24, 4], [6, 36, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': True, 'central_quotient': '432.749', 'commutator_count': 1, 'commutator_label': '36.14', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 749, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['12.3', 1], ['6.1', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 3, 1, 3], [2, 9, 1, 3], [2, 27, 1, 1], [3, 2, 1, 2], [3, 4, 1, 1], [3, 4, 2, 1], [3, 8, 2, 2], [3, 16, 2, 1], [6, 6, 1, 4], [6, 12, 1, 1], [6, 12, 2, 2], [6, 18, 1, 2], [6, 24, 2, 2], [6, 36, 2, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 12, 'exponent': 6, 'exponents_of_order': [4, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[12, 1, 1]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '432.749', 'hash': 749, 'hyperelementary': 1, 'id': 152952, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 2, 3, 2, 2, 3, 3], 'inner_gens': [[374400, 379560, 4, 7, 16, 856920, 897120], [374400, 379560, 4, 7, 16, 1250640, 1210440], [374400, 379560, 4, 23, 7, 856920, 1210440], [374400, 379560, 15, 7, 16, 856920, 1210440], [374400, 379560, 19, 7, 16, 856920, 1210440], [374400, 1951320, 4, 7, 16, 856920, 1210440], [1901640, 379560, 4, 7, 16, 856920, 1210440]], 'inner_hash': 749, 'inner_nilpotent': False, 'inner_order': 432, 'inner_split': True, 'inner_tex': 'A_4\\times S_3^2', 'inner_used': [1, 2, 3, 4, 6, 7], 'irrC_degree': 12, 'irrQ_degree': 12, 'irrQ_dim': 12, 'irrR_degree': 12, 'irrep_stats': [[1, 12], [2, 12], [3, 4], [4, 3], [6, 4], [12, 1]], 'label': '432.749', 'linC_count': 156, 'linC_degree': 7, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 7, 'linQ_degree_count': 20, 'linQ_dim': 7, 'linQ_dim_count': 20, 'linR_count': 20, 'linR_degree': 7, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'A4*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, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 18, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 36, 'number_divisions': 27, 'number_normal_subgroups': 30, 'number_subgroup_autclasses': 120, 'number_subgroup_classes': 188, 'number_subgroups': 1372, 'old_label': None, 'order': 432, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 63], [3, 80], [6, 288]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [0, 0], 'outer_gens': [[379560, 374400, 4, 7, 16, 897120, 1250640], [374400, 379560, 3, 23, 16, 1250640, 1210440]], 'outer_group': '4.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 4, 'outer_permdeg': 4, 'outer_perms': [1, 6], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 10, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 8], [3, 4], [4, 5], [6, 4], [8, 1], [12, 1]], 'representations': {'PC': {'code': 252159471461187882201760659303142677, 'gens': [1, 2, 4, 6], 'pres': [7, 2, 2, 3, 2, 3, 2, 3, 36, 1683, 3706, 1613, 80, 1684, 8328, 3421, 124, 7069]}, 'GLZN': {'d': 2, 'p': 60, 'gens': [10282343, 2378431, 346333, 325801, 6804031, 217201, 6858916]}, 'Perm': {'d': 10, 'gens': [374400, 379560, 4, 7, 16, 856920, 1210440]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 6], 'solvability_type': 8, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'A_4\\times S_3^2', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}