Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.5', '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, 3, 2, 2, 2, 2], 'aut_gens': [[1, 23616, 11536, 121, 7, 5167], [5166, 23616, 35152, 121, 5041, 5167], [5166, 23737, 11543, 121, 7, 5167], [5166, 23616, 11536, 121, 7, 5167], [1, 35152, 23616, 5041, 121, 5167], [5040, 28783, 16703, 5046, 5160, 5167], [6, 28783, 11536, 5046, 7, 5167], [1, 28783, 11536, 121, 7, 5167], [1, 23616, 16703, 121, 7, 5167]], 'aut_group': '384.17948', 'aut_hash': 17948, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 384, 'aut_permdeg': 10, 'aut_perms': [727, 380521, 1, 10128, 2586414, 2223528, 2314248, 1901646], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 3, 1], [2, 4, 2, 1], [2, 4, 3, 1], [4, 4, 3, 1], [4, 8, 3, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^4:S_4', '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': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '48.48', 'autcentquo_hash': 48, 'autcentquo_nilpotent': False, 'autcentquo_order': 48, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_2\\times S_4', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 3], [2, 4, 5], [4, 4, 3], [4, 8, 3]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '32.27', 'commutator_count': 1, 'commutator_label': '8.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 138, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 3], [2, 4, 1, 5], [4, 4, 1, 3], [4, 8, 1, 3]], 'element_repr_type': 'Perm', 'elementary': 2, 'eulerian_function': 224, 'exponent': 4, 'exponents_of_order': [6], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2], 'faithful_reps': [[4, 1, 2]], 'familial': False, 'frattini_label': '8.5', 'frattini_quotient': '8.5', 'hash': 138, 'hyperelementary': 2, 'id': 157031, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 4, 'inner_gen_orders': [2, 2, 2, 2, 2, 1], 'inner_gens': [[1, 23737, 11543, 121, 7, 5167], [120, 23616, 11536, 121, 5160, 5167], [6, 23616, 11536, 5046, 7, 5167], [1, 23616, 16703, 121, 7, 5167], [1, 28783, 11536, 121, 7, 5167], [1, 23616, 11536, 121, 7, 5167]], 'inner_hash': 27, 'inner_nilpotent': True, 'inner_order': 32, 'inner_split': True, 'inner_tex': 'C_2^2\\wr C_2', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 4, 'irrQ_dim': 4, 'irrR_degree': 4, 'irrep_stats': [[1, 8], [2, 6], [4, 2]], 'label': '64.138', 'linC_count': 2, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 4, 'linQ_degree_count': 2, 'linQ_dim': 4, 'linQ_dim_count': 2, 'linR_count': 2, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C2wrC2^2', 'ngens': 6, 'nilpotency_class': 3, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 7, 'number_characteristic_subgroups': 6, 'number_conjugacy_classes': 16, 'number_divisions': 16, 'number_normal_subgroups': 27, 'number_subgroup_autclasses': 38, 'number_subgroup_classes': 99, 'number_subgroups': 225, 'old_label': None, 'order': 64, 'order_factorization_type': 3, 'order_stats': [[1, 1], [2, 27], [4, 36]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 6], 'outer_gen_pows': [0, 0], 'outer_gens': [[1, 35152, 11536, 5041, 7, 5167], [5166, 35152, 23616, 5041, 121, 5167]], 'outer_group': '12.4', 'outer_hash': 4, 'outer_nilpotent': False, 'outer_order': 12, 'outer_permdeg': 5, 'outer_perms': [6, 31], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_6', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 8, 'pgroup': 2, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': True, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 6], [4, 2]], 'representations': {'PC': {'code': 9368648897762716266, 'gens': [1, 2, 4, 6], 'pres': [6, 2, 2, 2, 2, 2, 2, 457, 31, 362, 489, 159, 69, 1733, 875]}, 'GLZ': {'b': 3, 'd': 4, 'gens': [16566404, 35892690, 17330674]}, 'GLFp': {'d': 4, 'p': 2, 'gens': [33837, 18465, 27183, 33835, 18659, 34029]}, 'Perm': {'d': 8, 'gens': [1, 23616, 11536, 121, 7, 5167]}}, 'schur_multiplier': [2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2\\wr C_2^2', 'transitive_degree': 8, 'wreath_data': ['32.c1.a1', '16.i1.a1', '64.a1.a1', '4T2'], 'wreath_product': True}