Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 8, 'aut_gen_orders': [2, 2, 2, 2, 4], 'aut_gens': [[5041, 11527, 16, 120, 5160, 7], [5041, 11527, 16, 5047, 5160, 7], [5041, 11527, 23, 120, 5160, 7], [126, 16687, 5176, 5040, 5160, 7], [126, 16, 11527, 1, 7, 5160], [143, 11527, 1, 120, 5160, 7]], 'aut_group': '2048.clu', 'aut_hash': 2836991351148640411, 'aut_nilpotency_class': 4, 'aut_nilpotent': True, 'aut_order': 2048, 'aut_permdeg': 16, 'aut_perms': [10045234005240, 243541472, 4390271046498, 1327952266201, 1140047532128], 'aut_phi_ratio': 64.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 2, 8, 1], [2, 4, 4, 1], [4, 2, 4, 1], [4, 4, 1, 1], [4, 4, 4, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2^2\\wr D_4', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '256.56092', 'autcent_hash': 56092, 'autcent_nilpotent': True, 'autcent_order': 256, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^8', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 4, 'autcentquo_group': '8.3', 'autcentquo_hash': 3, 'autcentquo_nilpotent': True, 'autcentquo_order': 8, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'D_4', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 8], [2, 4, 4], [4, 2, 4], [4, 4, 5]], 'center_label': '4.2', 'center_order': 4, 'central_product': True, 'central_quotient': '16.14', 'commutator_count': 1, 'commutator_label': '4.2', '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': 226, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['8.3', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 8], [2, 4, 1, 4], [4, 2, 1, 4], [4, 4, 1, 5]], 'element_repr_type': 'Perm', 'elementary': 2, 'eulerian_function': 2520, 'exponent': 4, 'exponents_of_order': [6], 'factors_of_aut_order': [2], 'factors_of_order': [2], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '16.14', 'hash': 226, 'hyperelementary': 2, 'id': 132048, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 2, 'inner_gen_orders': [2, 2, 2, 2, 1, 1], 'inner_gens': [[5041, 16687, 23, 120, 5160, 7], [121, 11527, 16, 5040, 5160, 7], [5046, 11527, 16, 120, 5160, 7], [5041, 16687, 16, 120, 5160, 7], [5041, 11527, 16, 120, 5160, 7], [5041, 11527, 16, 120, 5160, 7]], 'inner_hash': 14, 'inner_nilpotent': True, 'inner_order': 16, 'inner_split': True, 'inner_tex': 'C_2^4', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 8], [4, 1]], 'label': '64.226', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 4, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D4^2', 'ngens': 6, 'nilpotency_class': 2, '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': 8, 'number_characteristic_subgroups': 7, 'number_conjugacy_classes': 25, 'number_divisions': 25, 'number_normal_subgroups': 91, 'number_subgroup_autclasses': 44, 'number_subgroup_classes': 214, 'number_subgroups': 389, 'old_label': None, 'order': 64, 'order_factorization_type': 3, 'order_stats': [[1, 1], [2, 35], [4, 28]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 8, 'outer_gen_orders': [2, 2, 2, 2, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 0, 0, 0, 0], 'outer_gens': [[126, 16, 11527, 1, 7, 5160], [5046, 11520, 5176, 127, 5160, 7], [11521, 127, 5176, 11520, 5160, 7], [126, 11527, 16, 127, 5160, 7], [16703, 120, 1, 11527, 5160, 7], [5046, 11520, 16, 127, 5160, 7], [126, 11520, 5176, 127, 5160, 7]], 'outer_group': '128.928', 'outer_hash': 928, 'outer_nilpotent': True, 'outer_order': 128, 'outer_permdeg': 8, 'outer_perms': [5455, 20063, 34984, 13050, 126, 4479, 34990], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\wr D_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 8, 'pgroup': 2, 'primary_abelian_invariants': [2, 2, 2, 2], 'quasisimple': False, 'rank': 4, 'rational': True, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 8], [4, 1]], 'representations': {'PC': {'code': 292129083476, 'gens': [1, 2, 3, 5], 'pres': [6, 2, 2, 2, 2, 2, 2, 218, 50, 730, 88]}, 'GLZ': {'b': 3, 'd': 4, 'gens': [7233746, 26483720, 7233260, 26483560]}, 'GLFp': {'d': 4, 'p': 3, 'gens': [34876415, 29555524, 28816400, 14811013, 28233362, 33722916]}, 'Perm': {'d': 8, 'gens': [5041, 11527, 16, 120, 5160, 7]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_4^2', 'transitive_degree': 16, 'wreath_data': None, 'wreath_product': False}