Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '32.36', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 60, 'aut_gen_orders': [4, 2, 2, 4, 2, 20, 2, 2, 6, 4, 2], 'aut_gens': [[1, 2, 16], [80, 83, 105], [9, 2, 16], [9, 14, 24], [1, 95, 24], [1, 6, 16], [1, 50, 25], [1, 6, 24], [1, 42, 144], [81, 87, 97], [9, 135, 56], [9, 86, 16]], 'aut_group': '7680.eg', 'aut_hash': 5165354773934766400, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 7680, 'aut_permdeg': 15, 'aut_perms': [126028224000, 88256770560, 544197346561, 348833681281, 193117518721, 113691032688, 474781345921, 193117519446, 186978274561, 94483834969, 83502721], 'aut_phi_ratio': 120.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 6, 1], [4, 1, 2, 1], [4, 1, 6, 1], [5, 2, 2, 1], [8, 5, 16, 1], [10, 2, 2, 1], [10, 2, 12, 1], [20, 2, 4, 1], [20, 2, 12, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^4:S_4\\times F_5', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 12, 'autcent_group': '384.20089', 'autcent_hash': 20089, 'autcent_nilpotent': False, 'autcent_order': 384, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2^4:S_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 20, 'autcentquo_group': '20.3', 'autcentquo_hash': 3, 'autcentquo_nilpotent': False, 'autcentquo_order': 20, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'F_5', 'cc_stats': [[1, 1, 1], [2, 1, 7], [4, 1, 8], [5, 2, 2], [8, 5, 16], [10, 2, 14], [20, 2, 16]], 'center_label': '16.10', 'center_order': 16, 'central_product': True, 'central_quotient': '10.1', 'commutator_count': 1, 'commutator_label': '5.1', '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': 141, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 2], ['40.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [4, 1, 2, 4], [5, 2, 2, 1], [8, 5, 4, 4], [10, 2, 2, 7], [20, 2, 4, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 168, 'exponent': 40, 'exponents_of_order': [5, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '40.13', 'hash': 141, 'hyperelementary': 2, 'id': 29376, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 10, 'inner_gen_orders': [1, 2, 5], 'inner_gens': [[1, 2, 16], [1, 2, 144], [1, 34, 16]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 10, 'inner_split': False, 'inner_tex': 'D_5', 'inner_used': [2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 32], [2, 32]], 'label': '160.141', 'linC_count': 5376, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 9, 'linQ_degree_count': 96, 'linQ_dim': 9, 'linQ_dim_count': 48, 'linR_count': 192, 'linR_degree': 5, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C20.C2^3', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, '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': 11, 'number_characteristic_subgroups': 11, 'number_conjugacy_classes': 64, 'number_divisions': 28, 'number_normal_subgroups': 65, 'number_subgroup_autclasses': 28, 'number_subgroup_classes': 76, 'number_subgroups': 120, 'old_label': None, 'order': 160, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 7], [4, 8], [5, 4], [8, 80], [10, 28], [20, 32]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 2, 3, 2, 2, 2, 2, 2], 'outer_gen_pows': [0, 0, 2, 0, 0, 0, 0, 0, 0], 'outer_gens': [[1, 10, 17], [1, 6, 16], [1, 2, 48], [80, 83, 17], [9, 10, 24], [1, 2, 24], [9, 83, 24], [1, 11, 24], [1, 10, 16]], 'outer_group': '768.1090213', 'outer_hash': 1090213, 'outer_nilpotent': False, 'outer_order': 768, 'outer_permdeg': 12, 'outer_perms': [14928480, 90882847, 16, 14970360, 263265840, 136095240, 11411400, 11290320, 90882840], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2^5:S_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 17, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 8], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 4], [4, 12], [8, 4]], 'representations': {'PC': {'code': 8514734954557562883, 'gens': [1, 2, 5], 'pres': [6, -2, -2, -2, -2, -2, -5, 31, 50, 2170, 88, 2315]}, 'GLZN': {'d': 2, 'p': 30, 'gens': [315601, 207243, 297011, 27451, 27181, 513019]}, 'Perm': {'d': 17, 'gens': [22417797468247, 41040, 90720, 45962678361600, 68349217305600, 37]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 8], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{20}.C_2^3', 'transitive_degree': 160, 'wreath_data': None, 'wreath_product': False}