Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 60, 'aut_gen_orders': [2, 5, 2, 2, 2, 2, 6, 4], 'aut_gens': [[1, 2, 4, 8], [1, 2, 4, 233], [1, 2, 100, 8], [1, 3, 4, 232], [121, 122, 124, 232], [1, 3, 5, 232], [1, 2, 4, 232], [1, 82, 4, 152], [1, 2, 4, 104]], 'aut_group': '11520.gw', 'aut_hash': 5396174419742210193, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 11520, 'aut_permdeg': 16, 'aut_perms': [186810999221, 2889816652800, 186810992209, 186811000618, 186811014762, 186810986880, 186817881600, 261534873600], 'aut_phi_ratio': 180.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 3, 1], [2, 3, 4, 1], [2, 5, 4, 1], [2, 15, 4, 1], [3, 2, 1, 1], [5, 2, 2, 1], [6, 2, 3, 1], [6, 10, 4, 1], [10, 2, 6, 1], [10, 6, 8, 1], [15, 4, 2, 1], [30, 4, 6, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^4:S_3^2\\times F_5', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 12, 'autcent_group': '96.227', 'autcent_hash': 227, 'autcent_nilpotent': False, 'autcent_order': 96, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_2^2:S_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 60, 'autcentquo_group': '120.36', 'autcentquo_hash': 36, 'autcentquo_nilpotent': False, 'autcentquo_order': 120, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3\\times F_5', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 3, 4], [2, 5, 4], [2, 15, 4], [3, 2, 1], [5, 2, 2], [6, 2, 3], [6, 10, 4], [10, 2, 6], [10, 6, 8], [15, 4, 2], [30, 4, 6]], 'center_label': '4.2', 'center_order': 4, 'central_product': True, 'central_quotient': '60.8', 'commutator_count': 1, 'commutator_label': '15.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 202, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['10.1', 1], ['2.1', 2], ['6.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 3, 1, 4], [2, 5, 1, 4], [2, 15, 1, 4], [3, 2, 1, 1], [5, 2, 2, 1], [6, 2, 1, 3], [6, 10, 1, 4], [10, 2, 2, 3], [10, 6, 2, 4], [15, 4, 2, 1], [30, 4, 2, 3]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 84630, 'exponent': 30, 'exponents_of_order': [4, 1, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '240.202', 'hash': 202, 'hyperelementary': 2, 'id': 50339, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 30, 'inner_gen_orders': [1, 2, 2, 15], 'inner_gens': [[1, 2, 4, 8], [1, 2, 4, 88], [1, 2, 4, 152], [1, 162, 100, 8]], 'inner_hash': 8, 'inner_nilpotent': False, 'inner_order': 60, 'inner_split': False, 'inner_tex': 'S_3\\times D_5', 'inner_used': [2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 24], [4, 8]], 'label': '240.202', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, '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': 'D6*D10', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 13, 'number_characteristic_subgroups': 14, 'number_conjugacy_classes': 48, 'number_divisions': 36, 'number_normal_subgroups': 104, 'number_subgroup_autclasses': 60, 'number_subgroup_classes': 268, 'number_subgroups': 1200, 'old_label': None, 'order': 240, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 95], [3, 2], [5, 4], [6, 46], [10, 60], [15, 8], [30, 24]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 3, 2, 2, 2, 2], 'outer_gen_pows': [0, 4, 0, 0, 0, 0, 0], 'outer_gens': [[121, 122, 124, 8], [1, 2, 4, 56], [121, 122, 124, 129], [1, 122, 124, 8], [1, 3, 5, 8], [1, 2, 125, 8], [1, 2, 124, 8]], 'outer_group': '192.1538', 'outer_hash': 1538, 'outer_nilpotent': False, 'outer_order': 192, 'outer_permdeg': 10, 'outer_perms': [806521, 368040, 1185844, 7, 23, 363016, 367927], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2^3:S_4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 12, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 8], [4, 8], [8, 4]], 'representations': {'PC': {'code': 2465806243955308329271303, 'gens': [1, 2, 3, 4], 'pres': [6, -2, -2, -2, -2, -3, -5, 1065, 927, 69, 2650, 496, 118, 1745]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [125101740707018307, 24992906222183252, 58415888366678834, 91793130888294787]}, 'GLFp': {'d': 4, 'p': 5, 'gens': [82279343978, 122109387504, 127473573794, 32682189518, 3589047728, 25547997728]}, 'Perm': {'d': 12, 'gens': [7, 3628800, 41040, 90720, 43545600, 37]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_6\\times D_{10}', 'transitive_degree': 60, 'wreath_data': None, 'wreath_product': False}