Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '32.45', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 24, 'aut_gen_orders': [4, 12, 4, 4, 4, 24], 'aut_gens': [[2176547, 3264371, 3794839, 167041, 1937281, 112145, 2821673], [4165637, 4805029, 3451258, 167041, 2820521, 4535065, 1881985], [1512989, 1445779, 3851311, 2765977, 1881985, 2766377, 2820521], [4829195, 1321349, 797050, 167041, 2820521, 4535065, 1881985], [3244813, 2156989, 2911295, 167041, 1937281, 112145, 2821673], [2176547, 228830, 5219570, 2765977, 4536217, 112145, 2821673], [1511453, 4307786, 2911271, 2820121, 2599687, 3429935, 774551]], 'aut_group': None, 'aut_hash': 682310395033496420, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 98304, 'aut_permdeg': 64, 'aut_perms': [55110440814334738969076067855481968696669171055817734245311353836060435546352983233277608, 118700977202621996963899352035697361684453325604884700575024847079368727030534923453852449, 22014780585350603763932422423397142560056930376663947779681482597695347881141146122643621, 18984299858701996828776199581465716293750222136871005372062322851912330501075141275592250, 15895907316606224007474221313789797023637594549424709827275545554626069507297564239446231, 17039630563487061638446795172603900375748068920931195047239217133909061280381609431719581], 'aut_phi_ratio': 384.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 1, 4, 1], [2, 2, 4, 1], [2, 3, 1, 2], [2, 3, 2, 1], [2, 3, 4, 1], [2, 6, 4, 1], [2, 6, 8, 1], [2, 12, 4, 1], [3, 8, 1, 1], [4, 2, 8, 1], [4, 6, 8, 2], [4, 12, 4, 1], [4, 12, 8, 2], [6, 8, 1, 1], [6, 8, 2, 1], [6, 8, 4, 1], [6, 16, 4, 1], [12, 16, 8, 1]], 'aut_supersolvable': False, 'aut_tex': '(C_2^4\\times A_4).C_2^6.C_2^3', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': None, 'autcent_hash': 8092891664598236742, 'autcent_nilpotent': True, 'autcent_order': 2048, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^7.C_2^4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '48.48', 'autcentquo_hash': 48, 'autcentquo_nilpotent': False, 'autcentquo_order': 48, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_2\\times S_4', 'cc_stats': [[1, 1, 1], [2, 1, 7], [2, 2, 4], [2, 3, 8], [2, 6, 12], [2, 12, 4], [3, 8, 1], [4, 2, 8], [4, 6, 16], [4, 12, 20], [6, 8, 7], [6, 16, 4], [12, 16, 8]], 'center_label': '8.5', 'center_order': 8, 'central_product': True, 'central_quotient': '96.226', 'commutator_count': 1, 'commutator_label': '24.13', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 1088676, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['16.3', 1], ['2.1', 1], ['24.12', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [2, 2, 1, 4], [2, 3, 1, 8], [2, 6, 1, 12], [2, 12, 1, 4], [3, 8, 1, 1], [4, 2, 2, 4], [4, 6, 1, 8], [4, 6, 2, 4], [4, 12, 1, 4], [4, 12, 2, 8], [6, 8, 1, 7], [6, 16, 1, 4], [12, 16, 2, 4]], 'element_repr_type': 'GLZN', 'elementary': 1, 'eulerian_function': 1031940, 'exponent': 12, 'exponents_of_order': [8, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '192.1537', 'hash': 1088676, 'hyperelementary': 1, 'id': 543265, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 2, 3, 2, 2, 2, 2], 'inner_gens': [[2176547, 3264371, 3794839, 167041, 166289, 1880833, 4590361], [2176547, 3264371, 852370, 2820121, 4590361, 112145, 166289], [2176547, 616331, 3794839, 2765977, 4536217, 112145, 166289], [2176547, 610139, 3851287, 167041, 1937281, 112145, 2821673], [3908371, 610139, 3851287, 167041, 1937281, 112145, 2821673], [3908371, 3264371, 3794839, 167041, 1937281, 112145, 2821673], [3908371, 610139, 1195951, 167041, 1937281, 112145, 2821673]], 'inner_hash': 226, 'inner_nilpotent': False, 'inner_order': 96, 'inner_split': False, 'inner_tex': 'C_2^2\\times S_4', 'inner_used': [1, 2, 3, 4, 5], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 32], [2, 24], [3, 32], [4, 4], [6, 8]], 'label': '768.1088676', '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': True, 'name': 'C2^6.D6', 'ngens': 9, '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': 24, 'number_characteristic_subgroups': 23, 'number_conjugacy_classes': 100, 'number_divisions': 80, 'number_normal_subgroups': 245, 'number_subgroup_autclasses': 625, 'number_subgroup_classes': 4333, 'number_subgroups': 24370, 'old_label': None, 'order': 768, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 159], [3, 8], [4, 352], [6, 120], [12, 128]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 4, 2, 4, 2, 4, 2], 'outer_gen_pows': [110593, 110593, 110593, 110593, 110593, 110593, 110593, 110593, 110593], 'outer_gens': [[1254187, 1494883, 3794839, 167041, 1937281, 112145, 2821673], [1254187, 4147963, 3794839, 167041, 3484079, 5198623, 2599687], [1254187, 608987, 3794839, 167041, 2820521, 4535065, 1936129], [1254187, 3264371, 312383, 167041, 2600839, 775703, 3485231], [2176547, 4147963, 3794839, 167041, 1937281, 112145, 2821673], [3907603, 4147963, 255911, 167041, 3484079, 5198623, 2599687], [4167173, 3264371, 3794839, 167041, 1937281, 112145, 2821673], [2176547, 1273397, 255911, 167041, 1937281, 112145, 2821673], [2176547, 3926477, 3794839, 167041, 1937281, 112145, 2821673]], 'outer_group': '1024.djz', 'outer_hash': 3485275617416775616, 'outer_nilpotent': True, 'outer_order': 1024, 'outer_permdeg': 16, 'outer_perms': [1321086781009, 5381, 998282935, 5411760077117, 1320607416529, 8388882069037, 1321086797501, 2884555267996, 1307674752701], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^6.C_2^4', 'pc_rank': None, 'perfect': False, 'permutation_degree': 14, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 4], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 24], [3, 16], [4, 8], [6, 16]], 'representations': {'PC': {'code': '1376816049273714397685297681486812746537707285327052095361552', 'gens': [1, 3, 4, 6, 7, 8, 9], 'pres': [9, -2, -2, -2, -2, -3, -2, 2, 2, 2, 18, 381, 102, 382, 7799, 4244, 1985, 15126, 11364, 5325, 2877, 10375, 58328, 4886, 2465, 2231]}, 'GLZN': {'d': 2, 'p': 48, 'gens': [2764825, 2800678, 553715, 111745, 774151, 2821273, 2176547, 4534313, 1169270]}, 'Perm': {'d': 14, 'gens': [6267300485, 362880, 6266939160, 13452330360, 6266949120, 11520, 3, 7, 16]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 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_2^6.D_6', 'transitive_degree': 48, 'wreath_data': None, 'wreath_product': False}