Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.10', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 12, 'aut_gen_orders': [2, 2, 2, 2, 12], 'aut_gens': [[1, 2, 4], [1, 50, 68], [49, 50, 76], [1, 50, 5], [1, 50, 4], [1, 34, 29]], 'aut_group': '192.1514', 'aut_hash': 1514, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 192, 'aut_permdeg': 11, 'aut_perms': [6, 7983361, 766080, 7984080, 4032031], 'aut_phi_ratio': 6.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 3, 2, 1], [2, 6, 1, 1], [3, 2, 1, 1], [4, 1, 2, 1], [4, 2, 1, 1], [4, 3, 2, 1], [4, 6, 1, 1], [6, 2, 1, 1], [6, 4, 1, 1], [8, 2, 4, 1], [8, 6, 4, 1], [12, 2, 2, 1], [12, 4, 1, 1], [24, 4, 4, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{12}:C_2^4', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '16.14', 'autcent_hash': 14, 'autcent_nilpotent': True, 'autcent_order': 16, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '12.4', 'autcentquo_hash': 4, 'autcentquo_nilpotent': False, 'autcentquo_order': 12, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'D_6', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 3, 2], [2, 6, 1], [3, 2, 1], [4, 1, 2], [4, 2, 1], [4, 3, 2], [4, 6, 1], [6, 2, 1], [6, 4, 1], [8, 2, 4], [8, 6, 4], [12, 2, 2], [12, 4, 1], [24, 4, 4]], 'center_label': '4.1', 'center_order': 4, 'central_product': True, 'central_quotient': '24.14', 'commutator_count': 1, 'commutator_label': '6.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 113, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['16.6', 1], ['6.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 3, 1, 2], [2, 6, 1, 1], [3, 2, 1, 1], [4, 1, 2, 1], [4, 2, 1, 1], [4, 3, 2, 1], [4, 6, 1, 1], [6, 2, 1, 1], [6, 4, 1, 1], [8, 2, 2, 2], [8, 6, 2, 2], [12, 2, 2, 1], [12, 4, 1, 1], [24, 4, 2, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 1344, 'exponent': 24, 'exponents_of_order': [5, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[4, 0, 2]], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '24.14', 'hash': 113, 'hyperelementary': 2, 'id': 159868, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 2, 6], 'inner_gens': [[1, 2, 52], [1, 2, 68], [49, 34, 4]], 'inner_hash': 14, 'inner_nilpotent': False, 'inner_order': 24, 'inner_split': True, 'inner_tex': 'C_2\\times D_6', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 16], [2, 12], [4, 2]], 'label': '96.113', 'linC_count': 34, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': 8, 'linQ_dim': 6, 'linQ_dim_count': 8, 'linR_count': 8, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'S3*OD16', 'ngens': 6, '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': 17, 'number_characteristic_subgroups': 27, 'number_conjugacy_classes': 30, 'number_divisions': 21, 'number_normal_subgroups': 39, 'number_subgroup_autclasses': 56, 'number_subgroup_classes': 68, 'number_subgroups': 130, 'old_label': None, 'order': 96, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 15], [3, 2], [4, 16], [6, 6], [8, 32], [12, 8], [24, 16]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2, 2], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[1, 2, 53], [1, 2, 76], [1, 50, 4]], 'outer_group': '8.5', 'outer_hash': 5, 'outer_nilpotent': True, 'outer_order': 8, 'outer_permdeg': 6, 'outer_perms': [1, 6, 120], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 11, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 8], [4, 4], [8, 1]], 'representations': {'PC': {'code': 5148497458481647785729, 'gens': [1, 2, 3], 'pres': [6, -2, -2, -2, -2, -2, -3, 938, 620, 50, 489, 69, 1210, 88, 1163]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [41715841506759743, 125101737214347233, 58415901142014510]}, 'GLFp': {'d': 4, 'p': 5, 'gens': [110811298107, 150515285882, 12077685084, 149861846575, 108352223161, 23150442739]}, 'Perm': {'d': 11, 'gens': [3719545, 85704, 8443704, 12506424, 3719544, 3]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'S_3\\times \\OD_{16}', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}