Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '80.45', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 12, 'aut_gen_orders': [2, 3, 2, 2, 4, 2, 2, 2, 2, 2], 'aut_gens': [[1, 2, 8], [41, 82, 152], [41, 2, 55], [81, 82, 72], [5, 6, 72], [1, 2, 136], [5, 2, 12], [5, 2, 8], [1, 2, 88], [81, 2, 8], [1, 2, 72]], 'aut_group': '1536.408640968', 'aut_hash': 807845205999895426, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1536, 'aut_permdeg': 16, 'aut_perms': [9529301738903, 6656768697600, 16, 7, 11663, 6719953726080, 5786825950080, 7094612810880, 4103646986880, 5160], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [4, 1, 4, 1], [4, 2, 6, 2], [5, 1, 4, 1], [10, 1, 4, 3], [20, 1, 16, 1], [20, 2, 24, 2]], 'aut_supersolvable': False, 'aut_tex': 'C_2^7.D_6', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '256.56082', 'autcent_hash': 56082, 'autcent_nilpotent': True, 'autcent_order': 256, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^6\\times C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '6.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 6, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3', 'cc_stats': [[1, 1, 1], [2, 1, 3], [4, 1, 4], [4, 2, 12], [5, 1, 4], [10, 1, 12], [20, 1, 16], [20, 2, 48]], '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': 180, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['4.1', 1], ['5.1', 1], ['8.4', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [4, 1, 2, 2], [4, 2, 1, 6], [4, 2, 2, 3], [5, 1, 4, 1], [10, 1, 4, 3], [20, 1, 8, 2], [20, 2, 4, 6], [20, 2, 8, 3]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 868, 'exponent': 20, 'exponents_of_order': [5, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '40.14', 'hash': 180, 'hyperelementary': 2, 'id': 29413, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 2, 'inner_gen_orders': [2, 1, 2], 'inner_gens': [[1, 2, 88], [1, 2, 8], [81, 2, 8]], 'inner_hash': 2, 'inner_nilpotent': True, 'inner_order': 4, 'inner_split': True, 'inner_tex': 'C_2^2', 'inner_used': [1, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 80], [2, 20]], 'label': '160.180', 'linC_count': 768, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 64, 'linQ_dim': 10, 'linQ_dim_count': 104, 'linR_count': 208, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'Q8*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': 14, 'number_characteristic_subgroups': 16, 'number_conjugacy_classes': 100, 'number_divisions': 30, 'number_normal_subgroups': 64, 'number_subgroup_autclasses': 32, 'number_subgroup_classes': 70, 'number_subgroups': 76, 'old_label': None, 'order': 160, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 3], [4, 28], [5, 4], [10, 12], [20, 112]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 12, 'outer_gen_orders': [2, 6, 2, 2, 2, 4], 'outer_gen_pows': [1, 0, 0, 0, 0, 0], 'outer_gens': [[1, 2, 91], [41, 82, 51], [85, 86, 8], [1, 2, 92], [85, 2, 8], [1, 2, 136]], 'outer_group': '384.20048', 'outer_hash': 20048, 'outer_nilpotent': False, 'outer_order': 384, 'outer_permdeg': 12, 'outer_perms': [362880, 7262760, 11527, 40279680, 87091200, 17], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2^5.D_6', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 17, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 6], [4, 9], [8, 6], [16, 1]], 'representations': {'PC': {'code': 19721404171464323075, 'gens': [1, 2, 4], 'pres': [6, -2, -2, -2, -2, -2, -5, 504, 31, 2115, 69, 88]}, 'GLFp': {'d': 4, 'p': 5, 'gens': [73926346121, 122109387504, 128232072316, 16699014870, 82502651532, 26013099178]}, 'Perm': {'d': 17, 'gens': [23906015527680, 45968909101920, 46080, 96, 68436399225600, 68436399316320]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 20], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'Q_8\\times C_{20}', 'transitive_degree': 160, 'wreath_data': None, 'wreath_product': False}