Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '80.45', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 12, 'aut_gen_orders': [12, 2, 12, 4, 4, 12, 2, 4, 3, 2, 12], 'aut_gens': [[1, 2, 8], [5, 86, 60], [1, 2, 88], [125, 42, 181], [1, 6, 136], [1, 2, 56], [120, 86, 225], [1, 2, 152], [5, 207, 88], [1, 162, 8], [1, 122, 8], [1, 162, 60]], 'aut_group': '4608.pn', 'aut_hash': 7116472838374644940, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 4608, 'aut_permdeg': 15, 'aut_perms': [479043369, 87660962056, 275030381649, 87660962058, 87660961929, 2083658409, 16, 375700592296, 840, 186818607360, 87178332369], 'aut_phi_ratio': 72.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 6, 1], [3, 2, 1, 1], [4, 3, 8, 1], [5, 1, 4, 1], [6, 2, 1, 1], [6, 2, 6, 1], [10, 1, 4, 1], [10, 1, 24, 1], [15, 2, 4, 1], [20, 3, 32, 1], [30, 2, 4, 1], [30, 2, 24, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^4.(D_6\\times S_4)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 12, 'autcent_group': '768.1090064', 'autcent_hash': 1090064, 'autcent_nilpotent': False, 'autcent_order': 768, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_4\\times C_2^3:S_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, 7], [3, 2, 1], [4, 3, 8], [5, 1, 4], [6, 2, 7], [10, 1, 28], [15, 2, 4], [20, 3, 32], [30, 2, 28]], 'center_label': '40.14', 'center_order': 40, 'central_product': True, 'central_quotient': '6.1', 'commutator_count': 1, 'commutator_label': '3.1', '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': 173, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['12.1', 1], ['2.1', 2], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [3, 2, 1, 1], [4, 3, 2, 4], [5, 1, 4, 1], [6, 2, 1, 7], [10, 1, 4, 7], [15, 2, 4, 1], [20, 3, 8, 4], [30, 2, 4, 7]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 868, 'exponent': 60, 'exponents_of_order': [4, 1, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '120.45', 'hash': 173, 'hyperelementary': 2, 'id': 50326, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [1, 2, 3], 'inner_gens': [[1, 2, 8], [1, 2, 88], [1, 162, 8]], 'inner_hash': 1, 'inner_nilpotent': False, 'inner_order': 6, 'inner_split': True, 'inner_tex': 'S_3', 'inner_used': [2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 80], [2, 40]], 'label': '240.173', 'linC_count': 41664, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 7, 'linQ_degree_count': 96, 'linQ_dim': 8, 'linQ_dim_count': 48, 'linR_count': 192, 'linR_degree': 5, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C30.C2^3', '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': 14, 'number_characteristic_subgroups': 14, 'number_conjugacy_classes': 120, 'number_divisions': 40, 'number_normal_subgroups': 86, 'number_subgroup_autclasses': 36, 'number_subgroup_classes': 108, 'number_subgroups': 152, 'old_label': None, 'order': 240, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 7], [3, 2], [4, 24], [5, 4], [6, 14], [10, 28], [15, 8], [20, 96], [30, 56]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 12, 'outer_gen_orders': [2, 4, 2, 3, 2, 2, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 0, 0, 0, 0, 0, 0], 'outer_gens': [[120, 123, 129], [1, 2, 56], [1, 2, 152], [120, 123, 9], [1, 122, 8], [1, 123, 8], [5, 122, 8], [5, 123, 12], [1, 6, 8]], 'outer_group': '768.1090064', 'outer_hash': 1090064, 'outer_nilpotent': False, 'outer_order': 768, 'outer_permdeg': 12, 'outer_perms': [175351816, 40284849, 16, 214104240, 87102720, 216080040, 87107880, 215717040, 40284840], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_4\\times C_2^3:S_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 16, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 12], [4, 8], [8, 12]], 'representations': {'PC': {'code': 114650728147665920007, 'gens': [1, 2, 4], 'pres': [6, -2, -2, -2, -2, -3, -5, 31, 1065, 69, 2650, 118]}, 'GLZN': {'d': 2, 'p': 30, 'gens': [40966, 297011, 27181, 252309, 509268, 513019]}, 'Perm': {'d': 16, 'gens': [129, 3669136, 7983376, 1401558681600, 16, 840]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 20], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{30}.C_2^3', 'transitive_degree': 240, 'wreath_data': None, 'wreath_product': False}