Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.10', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 12, 'aut_gen_orders': [2, 2, 4, 2, 6, 2, 6, 2, 2, 2], 'aut_gens': [[1, 2, 4, 48], [1, 226, 44, 240], [1, 2, 4, 72], [115, 194, 148, 264], [25, 2, 4, 48], [65, 34, 172, 48], [25, 2, 28, 48], [209, 98, 268, 48], [129, 130, 158, 176], [169, 2, 148, 48], [169, 2, 4, 48]], 'aut_group': '2304.tz', 'aut_hash': 2819920423304233106, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2304, 'aut_permdeg': 48, 'aut_perms': [5439448576860520648700678169867823892448379578929422767262451, 10091931928854142236923001369470173913041273610347269774787262, 7933029014820170368475488067148138779791972036928501653043320, 219273516510359493239097279960880936106280894538014056179232, 3270015456025388643948477833171770463303086412427654889559643, 10305681121306425808842977769529303540939826883751741958561645, 7896405088620227221738934322072149261866622465902170398686235, 11132022897081692577550432690806251756905777046638743259886895, 9850326412016935689205118874863890781718120855352444556325485, 16991673311053886760674374224373771885724446467968650060832], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 6, 4, 1], [2, 9, 1, 2], [2, 9, 2, 1], [3, 4, 1, 2], [4, 6, 4, 1], [4, 18, 4, 1], [6, 4, 1, 2], [6, 4, 2, 2], [6, 12, 4, 1], [12, 12, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_6^2:D_4^2', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '32.27', 'autcent_hash': 27, 'autcent_nilpotent': True, 'autcent_order': 32, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2\\wr C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '72.40', 'autcentquo_hash': 40, 'autcentquo_nilpotent': False, 'autcentquo_order': 72, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\SOPlus(4,2)', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 6, 4], [2, 9, 4], [3, 4, 2], [4, 6, 4], [4, 18, 4], [6, 4, 6], [6, 12, 4], [12, 12, 4]], 'center_label': '4.2', 'center_order': 4, 'central_product': True, 'central_quotient': '72.40', 'commutator_count': 1, 'commutator_label': '18.4', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 880, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['144.115', 1], ['2.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 6, 1, 4], [2, 9, 1, 4], [3, 4, 1, 2], [4, 6, 2, 2], [4, 18, 2, 2], [6, 4, 1, 6], [6, 12, 1, 4], [12, 12, 2, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3360, 'exponent': 12, 'exponents_of_order': [5, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '144.186', 'hash': 880, 'hyperelementary': 1, 'id': 107680, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 2, 6, 3], 'inner_gens': [[1, 2, 6, 176], [1, 2, 116, 240], [227, 226, 4, 240], [209, 98, 100, 48]], 'inner_hash': 40, 'inner_nilpotent': False, 'inner_order': 72, 'inner_split': True, 'inner_tex': '\\SOPlus(4,2)', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 4], [4, 16]], 'label': '288.880', 'linC_count': 96, 'linC_degree': 5, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 5, 'linQ_degree_count': 16, 'linQ_dim': 5, 'linQ_dim_count': 16, 'linR_count': 16, 'linR_degree': 5, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C6^2.D4', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 17, 'number_characteristic_subgroups': 15, 'number_conjugacy_classes': 36, 'number_divisions': 30, 'number_normal_subgroups': 43, 'number_subgroup_autclasses': 117, 'number_subgroup_classes': 226, 'number_subgroups': 1200, 'old_label': None, 'order': 288, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 63], [3, 8], [4, 96], [6, 72], [12, 48]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 4], 'outer_gen_pows': [0, 0, 0, 0], 'outer_gens': [[169, 2, 28, 48], [145, 2, 172, 48], [25, 2, 4, 48], [145, 2, 172, 72]], 'outer_group': '32.27', 'outer_hash': 27, 'outer_nilpotent': True, 'outer_order': 32, 'outer_permdeg': 8, 'outer_perms': [55, 107, 5329, 40212], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2\\wr C_2', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 12, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 8], [4, 12], [8, 2]], 'representations': {'PC': {'code': 467224306080883098864325923614825792325801477, 'gens': [1, 2, 3, 6], 'pres': [7, 2, 2, 2, 2, 3, 2, 3, 128, 1227, 58, 6051, 570, 80, 3364, 571, 7397, 5052, 2539, 124, 790, 4717, 2372]}, 'GLZ': {'b': 3, 'd': 5, 'gens': [706030742002, 141602720900, 706589870652]}, 'Perm': {'d': 12, 'gens': [40723201, 40470, 1, 1174320, 288, 88265520, 91854000]}}, 'schur_multiplier': [2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 4], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_6^2.D_4', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}