Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 60, 'aut_gen_orders': [10, 12, 2, 4], 'aut_gens': [[30304, 1871521, 1367180, 1200927, 1565004], [30304, 156709, 1740507, 1565004, 1200927], [30304, 1814624, 524640, 1565004, 1200927], [30304, 234696, 1815624, 1200927, 1565004], [1226400, 118590, 1371555, 1565004, 1200927]], 'aut_group': '1920.240594', 'aut_hash': 5381446787417314545, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 1920, 'aut_permdeg': 80, 'aut_perms': [19253452717128501966710273625063236403228663317766814726807567077414199668946727031227272550948746565195881520181272887, 43174840975030554829745079919388243686339683108672362362867180468306185371833685214263666370438012573691146921047802769, 41022397243080820035326401420198165100595613644066581744304675637470987448107883156929347650237230707734097171222106162, 9130799077020141515379419612868866384238056030323838202375111289717141445051566369068356654786493207116962991355091845], 'aut_phi_ratio': 7.5, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 30, 1, 2], [3, 20, 1, 1], [4, 1, 2, 2], [4, 30, 1, 2], [4, 30, 8, 1], [5, 24, 1, 1], [6, 20, 1, 1], [6, 20, 2, 1], [8, 20, 4, 1], [10, 24, 1, 1], [10, 24, 2, 1], [12, 20, 2, 2], [20, 24, 2, 2], [24, 20, 8, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2\\times D_4\\times S_5', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '16.11', 'autcent_hash': 11, 'autcent_nilpotent': True, 'autcent_order': 16, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2\\times D_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 60, 'autcentquo_group': '120.34', 'autcentquo_hash': 34, 'autcentquo_nilpotent': False, 'autcentquo_order': 120, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_5', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 30, 2], [3, 20, 1], [4, 1, 4], [4, 30, 10], [5, 24, 1], [6, 20, 3], [8, 20, 4], [10, 24, 3], [12, 20, 4], [20, 24, 4], [24, 20, 8]], 'center_label': '8.2', 'center_order': 8, 'central_product': True, 'central_quotient': '120.34', 'commutator_count': 1, 'commutator_label': '120.5', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '60.5'], 'composition_length': 5, 'conjugacy_classes_known': True, 'counter': 5693, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['480.218', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 30, 1, 2], [3, 20, 1, 1], [4, 1, 2, 2], [4, 30, 1, 2], [4, 30, 2, 4], [5, 24, 1, 1], [6, 20, 1, 3], [8, 20, 2, 2], [10, 24, 1, 3], [12, 20, 2, 2], [20, 24, 2, 2], [24, 20, 4, 2]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 114, 'exponent': 120, 'exponents_of_order': [6, 1, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '240.189', 'hash': 5693, 'hyperelementary': 1, 'id': 133368, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 60, 'inner_gen_orders': [1, 2, 6, 1, 1], 'inner_gens': [[30304, 1871521, 1367180, 1200927, 1565004], [30304, 1871521, 163709, 1200927, 1565004], [30304, 156709, 1367180, 1200927, 1565004], [30304, 1871521, 1367180, 1200927, 1565004], [30304, 1871521, 1367180, 1200927, 1565004]], 'inner_hash': 34, 'inner_nilpotent': False, 'inner_order': 120, 'inner_split': True, 'inner_tex': 'S_5', 'inner_used': [2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [4, 20], [5, 8], [6, 12]], 'label': '960.5693', 'linC_count': 48, 'linC_degree': 5, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 9, 'linQ_degree_count': 4, 'linQ_dim': 9, 'linQ_dim_count': 4, 'linR_count': 12, 'linR_degree': 9, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'C2*GL(2,5)', 'ngens': 5, '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, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 22, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 48, 'number_divisions': 30, 'number_normal_subgroups': 16, 'number_subgroup_autclasses': 118, 'number_subgroup_classes': 166, 'number_subgroups': 1775, 'old_label': None, 'order': 960, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 63], [3, 20], [4, 304], [5, 24], [6, 60], [8, 80], [10, 72], [12, 80], [20, 96], [24, 160]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2], 'outer_gen_pows': [391251, 391251, 391251, 391251], 'outer_gens': [[30304, 569759, 1074220, 1200927, 1565004], [30304, 1871521, 1367180, 1565004, 1200927], [1226400, 874244, 337337, 1200927, 1565004], [30304, 1363180, 1867521, 1200927, 1565004]], 'outer_group': '16.11', 'outer_hash': 11, 'outer_nilpotent': True, 'outer_order': 16, 'outer_permdeg': 6, 'outer_perms': [6, 289, 127, 126], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times D_4', 'pc_rank': None, 'perfect': False, 'permutation_degree': 26, 'pgroup': 0, 'primary_abelian_invariants': [2, 4], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 2], [4, 4], [5, 4], [6, 4], [8, 4], [10, 2], [12, 4], [16, 2]], 'representations': {'GLFp': {'d': 3, 'p': 5, 'gens': [30304, 1871521, 1367180, 1200927, 1565004]}, 'Perm': {'d': 26, 'gens': [242462499324018662702158, 15835939204854540239625001]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2\\times \\GL(2,5)', 'transitive_degree': 48, 'wreath_data': None, 'wreath_product': False}