Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 40, 'aut_gen_orders': [2, 2, 4, 40], 'aut_gens': [[1, 2], [41, 42], [11, 78], [1, 34], [43, 2]], 'aut_group': '640.19528', 'aut_hash': 19528, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 640, 'aut_permdeg': 13, 'aut_perms': [766800, 1614937696, 9, 1612406951], 'aut_phi_ratio': 20.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 20, 2, 1], [4, 2, 1, 1], [5, 2, 2, 1], [8, 2, 2, 1], [10, 2, 2, 1], [20, 2, 4, 1], [40, 2, 8, 1]], 'aut_supersolvable': True, 'aut_tex': 'D_8:C_2\\times F_5', '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': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 20, 'autcentquo_group': '160.207', 'autcentquo_hash': 207, 'autcentquo_nilpotent': False, 'autcentquo_order': 160, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'D_4\\times F_5', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 20, 2], [4, 2, 1], [5, 2, 2], [8, 2, 2], [10, 2, 2], [20, 2, 4], [40, 2, 8]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '40.6', 'commutator_count': 1, 'commutator_label': '20.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '5.1'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 7, 'cyclic': False, 'derived_length': 2, 'dihedral': True, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 20, 1, 2], [4, 2, 1, 1], [5, 2, 2, 1], [8, 2, 2, 1], [10, 2, 2, 1], [20, 2, 4, 1], [40, 2, 8, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3, 'exponent': 40, 'exponents_of_order': [4, 1], 'factors_of_aut_order': [2, 5], 'factors_of_order': [2, 5], 'faithful_reps': [[2, 1, 8]], 'familial': True, 'frattini_label': '4.1', 'frattini_quotient': '20.4', 'hash': 7, 'hyperelementary': 2, 'id': 158860, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 20, 'inner_gen_orders': [2, 20], 'inner_gens': [[1, 78], [5, 2]], 'inner_hash': 6, 'inner_nilpotent': False, 'inner_order': 40, 'inner_split': False, 'inner_tex': 'D_{20}', 'inner_used': [1, 2], 'irrC_degree': 2, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 2, 'irrep_stats': [[1, 4], [2, 19]], 'label': '80.7', 'linC_count': 8, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 2, 'linQ_dim': 8, 'linQ_dim_count': 2, 'linR_count': 8, 'linR_degree': 2, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'D40', 'ngens': 5, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 9, 'number_characteristic_subgroups': 9, 'number_conjugacy_classes': 23, 'number_divisions': 10, 'number_normal_subgroups': 11, 'number_subgroup_autclasses': 16, 'number_subgroup_classes': 22, 'number_subgroups': 98, 'old_label': None, 'order': 80, 'order_factorization_type': 31, 'order_stats': [[1, 1], [2, 41], [4, 2], [5, 4], [8, 4], [10, 4], [20, 8], [40, 16]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 4], 'outer_gen_pows': [0, 10, 0], 'outer_gens': [[1, 42], [11, 2], [1, 34]], 'outer_group': '16.10', 'outer_hash': 10, 'outer_nilpotent': True, 'outer_order': 16, 'outer_permdeg': 8, 'outer_perms': [5040, 120, 17], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\times C_4', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 1], [4, 3], [8, 1], [16, 1]], 'representations': {'PC': {'code': 13420389934783789059, 'gens': [1, 2], 'pres': [5, -2, -2, -2, -2, -5, 781, 26, 1142, 42, 1443, 58, 1604]}, 'GLFp': {'d': 2, 'p': 41, 'gens': [1722, 482453]}, 'Perm': {'d': 13, 'gens': [482721127, 976227840, 1601158320, 2131562160, 37]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 6, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_{40}', 'transitive_degree': 40, 'wreath_data': None, 'wreath_product': False}