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': 4, 'aut_exponent': 12, 'aut_gen_orders': [6, 3, 3, 3, 2, 12], 'aut_gens': [[7426, 11017, 14041, 8101, 13933], [8128, 10288, 14770, 8101, 18307], [7426, 11017, 14770, 8101, 14662], [8155, 11017, 13312, 8101, 16120], [7426, 11746, 13285, 8101, 13204], [9559, 7399, 15391, 7372, 14068], [12475, 7399, 13933, 8101, 14068]], 'aut_group': '216.87', 'aut_hash': 87, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 216, 'aut_permdeg': 18, 'aut_perms': [1213611130046965, 1255501060295824, 902303007950707, 3958862055362743, 3467157225073340, 6170692987614321], 'aut_phi_ratio': 6.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 9, 2, 1], [3, 2, 1, 1], [3, 6, 2, 1], [3, 12, 1, 1], [6, 18, 1, 1], [6, 18, 2, 1]], 'aut_supersolvable': False, 'aut_tex': '\\He_3:D_4', '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': '216.87', 'autcentquo_hash': 87, 'autcentquo_nilpotent': False, 'autcentquo_order': 216, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\He_3:D_4', 'cc_stats': [[1, 1, 1], [2, 9, 3], [3, 2, 1], [3, 6, 2], [3, 12, 1], [6, 18, 3]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '108.17', 'commutator_count': 1, 'commutator_label': '27.3', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '3.1', '3.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 17, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 3], [3, 2, 1, 1], [3, 6, 1, 2], [3, 12, 1, 1], [6, 18, 1, 3]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 9, 'exponent': 6, 'exponents_of_order': [3, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[6, 1, 2]], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '36.10', 'hash': 17, 'hyperelementary': 1, 'id': 136688, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [3, 3, 2, 3, 2], 'inner_gens': [[7426, 11746, 14743, 8101, 14662], [6697, 11017, 14770, 8101, 18307], [8128, 11746, 14041, 7372, 13933], [7426, 11017, 13312, 8101, 13204], [8155, 8830, 14041, 7372, 13933]], 'inner_hash': 17, 'inner_nilpotent': False, 'inner_order': 108, 'inner_split': True, 'inner_tex': 'C_3^2:D_6', 'inner_used': [1, 2, 3, 5], 'irrC_degree': 6, 'irrQ_degree': 6, 'irrQ_dim': 6, 'irrR_degree': 6, 'irrep_stats': [[1, 4], [2, 4], [4, 1], [6, 2]], 'label': '108.17', 'linC_count': 2, 'linC_degree': 6, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': 2, 'linQ_dim': 6, 'linQ_dim_count': 2, 'linR_count': 2, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C3^2:D6', 'ngens': 5, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 8, 'number_characteristic_subgroups': 5, 'number_conjugacy_classes': 11, 'number_divisions': 11, 'number_normal_subgroups': 11, 'number_subgroup_autclasses': 26, 'number_subgroup_classes': 39, 'number_subgroups': 193, 'old_label': None, 'order': 108, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 27], [3, 26], [6, 54]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2], 'outer_gen_pows': [6643], 'outer_gens': [[12475, 6697, 16849, 7372, 14743]], 'outer_group': '2.1', 'outer_hash': 1, 'outer_nilpotent': True, 'outer_order': 2, 'outer_permdeg': 2, 'outer_perms': [1], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 9, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': True, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 1], [6, 2]], 'representations': {'PC': {'code': 1672019201374148167, 'gens': [1, 2, 4, 5], 'pres': [5, -2, -2, -3, -3, -3, 101, 26, 122, 968, 433, 1804, 909]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [78750847670572496, 74429456051931709]}, 'GLFp': {'d': 3, 'p': 3, 'gens': [7426, 11017, 14041, 8101, 13933]}, 'Perm': {'d': 9, 'gens': [5515, 5065, 148, 276480, 80884]}}, '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:D_6', 'transitive_degree': 9, 'wreath_data': None, 'wreath_product': False}