Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'abelian_quotient': '480.1180', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 1, 'aut_exponent': 168, 'aut_gen_orders': [14, 12, 4], 'aut_gens': [[1, 2, 4, 8], [7, 245, 1, 332], [6, 3, 244, 109], [3, 242, 6, 107]], 'aut_group': None, 'aut_hash': 4889981620459245880, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 172032, 'aut_permdeg': 22, 'aut_perms': [46813485817189122799, 789881643559479695093, 780124088306787821288], 'aut_phi_ratio': 1344.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 14, 1], [3, 1, 2, 1], [4, 1, 16, 1], [5, 1, 4, 1], [6, 1, 2, 1], [6, 1, 28, 1], [10, 1, 4, 1], [10, 1, 56, 1], [12, 1, 32, 1], [15, 1, 8, 1], [20, 1, 64, 1], [30, 1, 8, 1], [30, 1, 112, 1], [60, 1, 128, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^5.C_2^5.\\PSL(2,7)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 168, 'autcent_group': None, 'autcent_hash': 4889981620459245880, 'autcent_nilpotent': False, 'autcent_order': 172032, 'autcent_solvable': False, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2^5.C_2^5.\\PSL(2,7)', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 1, 'autcentquo_group': '1.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 1, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_1', 'cc_stats': [[1, 1, 1], [2, 1, 15], [3, 1, 2], [4, 1, 16], [5, 1, 4], [6, 1, 30], [10, 1, 60], [12, 1, 32], [15, 1, 8], [20, 1, 64], [30, 1, 120], [60, 1, 128]], 'center_label': '480.1180', 'center_order': 480, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 1180, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['2.1', 3], ['3.1', 1], ['4.1', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 15], [3, 1, 2, 1], [4, 1, 2, 8], [5, 1, 4, 1], [6, 1, 2, 15], [10, 1, 4, 15], [12, 1, 4, 8], [15, 1, 8, 1], [20, 1, 8, 8], [30, 1, 8, 15], [60, 1, 16, 8]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 93600, 'exponent': 60, 'exponents_of_order': [5, 1, 1], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '240.208', 'hash': 1180, 'hyperelementary': 2, 'id': 129092, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1, 1, 1, 1], 'inner_gens': [[1, 2, 4, 8], [1, 2, 4, 8], [1, 2, 4, 8], [1, 2, 4, 8]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 480]], 'label': '480.1180', 'linC_count': None, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, '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': 'C2^3*C60', 'ngens': 7, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 16, 'number_characteristic_subgroups': 16, 'number_conjugacy_classes': 480, 'number_divisions': 96, 'number_normal_subgroups': 472, 'number_subgroup_autclasses': 48, 'number_subgroup_classes': 472, 'number_subgroups': 472, 'old_label': None, 'order': 480, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 15], [3, 2], [4, 16], [5, 4], [6, 30], [10, 60], [12, 32], [15, 8], [20, 64], [30, 120], [60, 128]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 168, 'outer_gen_orders': [14, 4, 2], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[6, 244, 247, 159], [245, 242, 6, 138], [1, 245, 243, 89]], 'outer_group': None, 'outer_hash': 4889981620459245880, 'outer_nilpotent': False, 'outer_order': 172032, 'outer_permdeg': 22, 'outer_perms': [441387580073874933046, 672222728069950852047, 9986644309605956155], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': 'C_2^5.C_2^5.\\PSL(2,7)', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 4, 3, 5], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 24], [4, 24], [8, 24], [16, 8]], 'representations': {'PC': {'code': 511965599242256391, 'gens': [1, 2, 3, 4], 'pres': [7, -2, -2, -2, -2, -2, -3, -5, 80, 102, 166]}, 'GLZN': {'d': 2, 'p': 40, 'gens': [1504803, 1088017, 576009, 2312611, 1344021, 192003, 64321]}, 'Perm': {'d': 18, 'gens': [127008000, 355687428096000, 1307674368000, 6227020800, 10080, 96, 40279680]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 60], 'solvability_type': 2, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2^3\\times C_{60}', 'transitive_degree': 480, 'wreath_data': None, 'wreath_product': False}