Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '24.9', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 24, 'aut_gen_orders': [2, 8, 6, 6], 'aut_gens': [[1, 12, 36], [7, 12, 192], [1, 72, 204], [149, 12, 36], [61, 12, 36]], 'aut_group': '576.8658', 'aut_hash': 8658, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 576, 'aut_permdeg': 13, 'aut_perms': [83558287, 55643056, 4126469767, 1137725296], 'aut_phi_ratio': 8.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 9, 1, 2], [3, 1, 2, 1], [3, 4, 2, 1], [3, 4, 4, 1], [4, 9, 4, 1], [6, 1, 2, 1], [6, 4, 2, 1], [6, 4, 4, 1], [6, 9, 2, 2], [12, 9, 8, 1]], 'aut_supersolvable': False, 'aut_tex': 'F_9:C_2^3', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '144.182', 'autcentquo_hash': 182, 'autcentquo_nilpotent': False, 'autcentquo_order': 144, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'F_9:C_2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 9, 2], [3, 1, 2], [3, 4, 6], [4, 9, 4], [6, 1, 2], [6, 4, 6], [6, 9, 4], [12, 9, 8]], 'center_label': '6.2', 'center_order': 6, 'central_product': True, 'central_quotient': '36.9', 'commutator_count': 1, 'commutator_label': '9.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 168, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['3.1', 1], ['36.9', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 9, 1, 2], [3, 1, 2, 1], [3, 4, 1, 2], [3, 4, 2, 2], [4, 9, 2, 2], [6, 1, 2, 1], [6, 4, 1, 2], [6, 4, 2, 2], [6, 9, 2, 2], [12, 9, 4, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 24, 'exponent': 12, 'exponents_of_order': [3, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[4, 0, 4]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '216.168', 'hash': 168, 'hyperelementary': 1, 'id': 143536, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [4, 3, 3], 'inner_gens': [[1, 96, 60], [169, 12, 36], [13, 12, 36]], 'inner_hash': 9, 'inner_nilpotent': False, 'inner_order': 36, 'inner_split': False, 'inner_tex': 'C_3^2:C_4', 'inner_used': [1, 2], 'irrC_degree': 4, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 24], [4, 12]], 'label': '216.168', 'linC_count': 4, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': 12, 'linQ_dim': 6, 'linQ_dim_count': 12, 'linR_count': 24, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C2*C3^2:C12', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 14, 'number_characteristic_subgroups': 16, 'number_conjugacy_classes': 36, 'number_divisions': 20, 'number_normal_subgroups': 20, 'number_subgroup_autclasses': 42, 'number_subgroup_classes': 60, 'number_subgroups': 248, 'old_label': None, 'order': 216, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 19], [3, 26], [4, 36], [6, 62], [12, 72]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 3], 'outer_gens': [[7, 12, 192], [5, 12, 36], [109, 12, 36], [1, 72, 204]], 'outer_group': '16.14', 'outer_hash': 14, 'outer_nilpotent': True, 'outer_order': 16, 'outer_permdeg': 8, 'outer_perms': [5040, 120, 6, 1], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 11, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 6], [4, 6], [8, 4]], 'representations': {'PC': {'code': 320972801006877777297597645, 'gens': [1, 4, 5], 'pres': [6, 2, 2, 3, 3, 2, 3, 12, 31, 2307, 297, 1804, 2710, 88, 3029, 2603]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [108470311038820273, 125101743017174152]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [29293137, 14412736, 1017496, 38138223, 24637050, 28816400]}, 'Perm': {'d': 11, 'gens': [3710160, 1, 30, 131760, 8115120, 1128960]}}, 'schur_multiplier': [6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 12], 'solvability_type': 8, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2\\times C_3^2:C_{12}', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}