Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '80.20', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 4, 'aut_gen_orders': [4, 2, 2, 4, 2, 2, 2, 2, 2], 'aut_gens': [[1, 4], [41, 28], [3, 84], [3, 39], [83, 108], [81, 4], [83, 44], [1, 6], [1, 36], [1, 84]], 'aut_group': '512.266220', 'aut_hash': 302503161637256466, 'aut_nilpotency_class': 3, 'aut_nilpotent': True, 'aut_order': 512, 'aut_permdeg': 16, 'aut_perms': [4296764113942, 269206161967, 5412239446320, 2878327877177, 2704007577600, 2878327877160, 2877362611200, 7, 2878327872000], 'aut_phi_ratio': 8.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [4, 1, 4, 1], [4, 2, 4, 1], [5, 1, 4, 1], [8, 2, 8, 1], [10, 1, 4, 1], [10, 1, 8, 1], [20, 1, 16, 1], [20, 2, 16, 1], [40, 2, 32, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2^5.C_2^4', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '256.27015', 'autcent_hash': 27015, 'autcent_nilpotent': True, 'autcent_order': 256, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3.C_2^5', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 2, 'autcentquo_group': '2.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 2, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2', 'cc_stats': [[1, 1, 1], [2, 1, 3], [4, 1, 4], [4, 2, 4], [5, 1, 4], [8, 2, 8], [10, 1, 12], [20, 1, 16], [20, 2, 16], [40, 2, 32]], 'center_label': '40.9', 'center_order': 40, 'central_product': True, 'central_quotient': '4.2', 'commutator_count': 1, 'commutator_label': '2.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '5.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 47, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['32.4', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [4, 1, 2, 2], [4, 2, 2, 2], [5, 1, 4, 1], [8, 2, 2, 4], [10, 1, 4, 3], [20, 1, 8, 2], [20, 2, 8, 2], [40, 2, 8, 4]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 18, 'exponent': 40, 'exponents_of_order': [5, 1], 'factors_of_aut_order': [2], 'factors_of_order': [2, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.2', 'frattini_quotient': '20.5', 'hash': 47, 'hyperelementary': 2, 'id': 29465, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 2, 'inner_gen_orders': [2, 2], 'inner_gens': [[1, 84], [81, 4]], 'inner_hash': 2, 'inner_nilpotent': True, 'inner_order': 4, 'inner_split': False, 'inner_tex': 'C_2^2', 'inner_used': [1, 2], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 80], [2, 20]], 'label': '160.47', 'linC_count': 768, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 32, 'linQ_dim': 10, 'linQ_dim_count': 32, 'linR_count': 192, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C8:C20', 'ngens': 6, 'nilpotency_class': 2, 'nilpotent': True, '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': 12, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 100, 'number_divisions': 24, 'number_normal_subgroups': 36, 'number_subgroup_autclasses': 24, 'number_subgroup_classes': 40, 'number_subgroups': 44, 'old_label': None, 'order': 160, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 3], [4, 12], [5, 4], [8, 16], [10, 12], [20, 48], [40, 64]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 4, 4], 'outer_gen_pows': [0, 4, 0, 0, 0], 'outer_gens': [[3, 4], [41, 36], [3, 46], [1, 68], [83, 159]], 'outer_group': '128.1031', 'outer_hash': 1031, 'outer_nilpotent': True, 'outer_order': 128, 'outer_permdeg': 12, 'outer_perms': [87091200, 14, 16, 40291336, 127008007], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3.C_2^4', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 17, 'pgroup': 0, 'primary_abelian_invariants': [4, 4, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 6], [4, 6], [8, 6], [16, 2]], 'representations': {'PC': {'code': 19721397355350970371, 'gens': [1, 3], 'pres': [6, -2, -2, -2, -2, -2, -5, 12, 1514, 50, 69, 88]}, 'GLFp': {'d': 4, 'p': 5, 'gens': [122109387504, 75598583751, 50169286876, 23587251166, 136653277503, 10677103986]}, 'Perm': {'d': 17, 'gens': [23994231650640, 47338334760240, 96, 68012043724800, 90503600181840, 90503600140800]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [4, 20], 'solvability_type': 3, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_8:C_{20}', 'transitive_degree': 160, 'wreath_data': None, 'wreath_product': False}