Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '12.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 60, 'aut_gen_orders': [2, 2, 2, 2, 6, 3, 3, 12], 'aut_gens': [[121, 34696, 5041, 1480947982, 482630407, 127, 120], [121, 34696, 5041, 1480952903, 482635566, 5046, 120], [121, 39616, 5041, 1480952902, 482630407, 127, 120], [5160, 17158, 5041, 1480930432, 482635440, 5166, 126], [121, 34577, 5041, 1480947863, 482630407, 127, 120], [5041, 39622, 5160, 1476961216, 479369520, 5047, 7], [121, 34702, 5041, 1480952903, 482635566, 5040, 126], [5160, 39623, 121, 1480947976, 482630520, 7, 127], [121, 17273, 5160, 79850879, 486622206, 127, 1]], 'aut_group': '17280.bd', 'aut_hash': 456236538737532445, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 17280, 'aut_permdeg': 26, 'aut_perms': [14478346316280, 611974989316170741876785, 26927487852072165279719, 243456023430396555166081, 347443423247591566413535034, 17093695052286, 411288879116256716484, 257614205581872841253811917], 'aut_phi_ratio': 22.5, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 3, 1], [2, 3, 1, 1], [2, 3, 3, 1], [2, 15, 1, 1], [2, 15, 3, 1], [2, 45, 1, 1], [2, 45, 3, 1], [3, 4, 2, 1], [3, 20, 1, 1], [3, 80, 2, 1], [5, 12, 2, 1], [6, 4, 6, 1], [6, 20, 3, 1], [6, 60, 1, 1], [6, 60, 2, 1], [6, 60, 3, 1], [6, 60, 6, 1], [6, 80, 6, 1], [10, 12, 6, 1], [10, 36, 2, 1], [10, 36, 6, 1], [15, 48, 4, 1], [30, 48, 12, 1]], 'aut_supersolvable': False, 'aut_tex': 'S_3\\times S_4\\times S_5', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 6, 'autcent_group': '6.1', 'autcent_hash': 1, 'autcent_nilpotent': False, 'autcent_order': 6, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'S_3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 60, 'autcentquo_group': '2880.dv', 'autcentquo_hash': 409072078557532110, 'autcentquo_nilpotent': False, 'autcentquo_order': 2880, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_4\\times S_5', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 3, 4], [2, 15, 4], [2, 45, 4], [3, 4, 2], [3, 20, 1], [3, 80, 2], [5, 12, 2], [6, 4, 6], [6, 20, 3], [6, 60, 12], [6, 80, 6], [10, 12, 6], [10, 36, 8], [15, 48, 4], [30, 48, 12]], 'center_label': '4.2', 'center_order': 4, 'central_product': True, 'central_quotient': '720.768', 'commutator_count': 1, 'commutator_label': '240.190', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '60.5'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 170, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['12.3', 1], ['2.1', 2], ['60.5', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 3, 1, 4], [2, 15, 1, 4], [2, 45, 1, 4], [3, 4, 2, 1], [3, 20, 1, 1], [3, 80, 2, 1], [5, 12, 2, 1], [6, 4, 2, 3], [6, 20, 1, 3], [6, 60, 1, 4], [6, 60, 2, 4], [6, 80, 2, 3], [10, 12, 2, 3], [10, 36, 2, 4], [15, 48, 4, 1], [30, 48, 4, 3]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 30, 'exponents_of_order': [6, 2, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '2880.gn', 'hash': 5094570882729245637, 'hyperelementary': 1, 'id': 415542, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 30, 'inner_gen_orders': [2, 3, 2, 3, 2, 2, 2], 'inner_gens': [[121, 39616, 5041, 1480952902, 482630407, 127, 120], [5160, 34696, 121, 1480947982, 482630526, 5166, 5040], [121, 34577, 5041, 1480947863, 482630407, 127, 120], [5160, 34696, 121, 1480947982, 87091326, 5166, 5040], [121, 39737, 5041, 47577023, 482630407, 127, 120], [121, 39616, 5041, 1480952902, 482630407, 127, 120], [121, 34577, 5041, 1480947863, 482630407, 127, 120]], 'inner_hash': 768, 'inner_nilpotent': False, 'inner_order': 720, 'inner_split': True, 'inner_tex': 'A_4\\times A_5', 'inner_used': [1, 2, 4, 5], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 12], [3, 28], [4, 12], [5, 12], [9, 8], [12, 4], [15, 4]], 'label': '2880.gn', 'linC_count': None, 'linC_degree': None, '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': False, 'metacyclic': False, 'monomial': False, 'name': 'C2^4:GL(2,4)', 'ngens': 7, '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, 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': 24, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 80, 'number_divisions': 48, 'number_normal_subgroups': 30, 'number_subgroup_autclasses': 339, 'number_subgroup_classes': 921, 'number_subgroups': 24598, 'old_label': None, 'order': 2880, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 255], [3, 188], [5, 24], [6, 1284], [10, 360], [15, 192], [30, 576]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 6, 'outer_gen_orders': [2, 2, 6], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[5160, 17152, 5041, 1480930438, 482635446, 5166, 120], [121, 39623, 5041, 1480947982, 482630407, 5040, 5047], [121, 34702, 5041, 4031303, 1520472366, 5040, 126]], 'outer_group': '24.14', 'outer_hash': 14, 'outer_nilpotent': False, 'outer_order': 24, 'outer_permdeg': 7, 'outer_perms': [7, 136, 856], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times D_6', 'pc_rank': None, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [3, 4], [4, 4], [5, 4], [6, 4], [8, 4], [10, 4], [12, 8], [15, 4], [18, 4]], 'representations': {'Perm': {'d': 13, 'gens': [121, 34696, 5041, 1480947982, 482630407, 127, 120]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 6], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2^4:\\GL(2,4)', 'transitive_degree': 60, 'wreath_data': None, 'wreath_product': False}