Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.2', '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, 2, 2, 3, 3], 'aut_gens': [[1, 2, 48], [13, 46, 48], [6, 133, 16], [13, 14, 48], [25, 2, 48], [1, 34, 96], [25, 26, 48], [17, 2, 48], [1, 50, 48]], 'aut_group': '576.8418', 'aut_hash': 8418, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 576, 'aut_permdeg': 12, 'aut_perms': [85807, 40285008, 1, 6, 806400, 126, 7706160, 84228480], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 18, 1, 1], [3, 2, 2, 1], [3, 4, 1, 1], [4, 1, 2, 1], [4, 18, 1, 1], [6, 2, 2, 1], [6, 4, 1, 1], [8, 6, 4, 1], [12, 2, 4, 1], [12, 4, 2, 1], [24, 6, 8, 1]], 'aut_supersolvable': False, 'aut_tex': 'D_6^2:C_2^2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '8.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '72.40', 'autcentquo_hash': 40, 'autcentquo_nilpotent': False, 'autcentquo_order': 72, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\SOPlus(4,2)', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 18, 1], [3, 2, 2], [3, 4, 1], [4, 1, 2], [4, 18, 1], [6, 2, 2], [6, 4, 1], [8, 6, 4], [12, 2, 4], [12, 4, 2], [24, 6, 8]], 'center_label': '4.1', 'center_order': 4, 'central_product': False, 'central_quotient': '36.10', 'commutator_count': 1, 'commutator_label': '18.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 55, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 18, 1, 1], [3, 2, 1, 2], [3, 4, 1, 1], [4, 1, 2, 1], [4, 18, 1, 1], [6, 2, 1, 2], [6, 4, 1, 1], [8, 6, 2, 2], [12, 2, 2, 2], [12, 4, 2, 1], [24, 6, 4, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 6, 'exponent': 24, 'exponents_of_order': [4, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[4, 0, 2]], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '36.10', 'hash': 55, 'hyperelementary': 1, 'id': 139193, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 6, 3], 'inner_gens': [[1, 10, 48], [41, 2, 96], [1, 98, 48]], 'inner_hash': 10, 'inner_nilpotent': False, 'inner_order': 36, 'inner_split': True, 'inner_tex': 'S_3^2', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 8], [2, 18], [4, 4]], 'label': '144.55', 'linC_count': 50, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 7, 'linQ_dim': 8, 'linQ_dim_count': 7, 'linR_count': 8, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C12.D6', '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': 10, 'number_conjugacy_classes': 30, 'number_divisions': 18, 'number_normal_subgroups': 20, 'number_subgroup_autclasses': 35, 'number_subgroup_classes': 48, 'number_subgroups': 160, 'old_label': None, 'order': 144, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 19], [3, 8], [4, 20], [6, 8], [8, 24], [12, 16], [24, 48]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 0], 'outer_gens': [[6, 133, 16], [1, 26, 48], [37, 14, 96], [25, 34, 48]], 'outer_group': '16.11', 'outer_hash': 11, 'outer_nilpotent': True, 'outer_order': 16, 'outer_permdeg': 6, 'outer_perms': [288, 7, 127, 126], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times D_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 14, 'pgroup': 0, 'primary_abelian_invariants': [2, 4], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 6], [4, 5], [8, 3]], 'representations': {'PC': {'code': 12669462336961669767920579, 'gens': [1, 2, 6], 'pres': [6, -2, -2, -2, -2, -3, -3, 216, 121, 31, 362, 50, 963, 69, 964, 1739]}, 'GLFp': {'d': 4, 'p': 5, 'gens': [122109387504, 123861297774, 37985493594, 61054693752, 35645622600, 81273613165]}, 'Perm': {'d': 14, 'gens': [6314118754, 6354401943, 16991, 23616, 13971242880, 20122058880]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{12}.D_6', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}