Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 660, 'aut_gen_orders': [4, 30, 10, 20, 10], 'aut_gens': [[1, 2, 4], [485, 398, 260], [257, 2, 340], [173, 398, 332], [329, 2, 478], [109, 398, 508]], 'aut_group': None, 'aut_hash': 242189443529761976, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 31680, 'aut_permdeg': 72, 'aut_perms': [4311936152887960297872244197506970213007089266449879197038210342110433717705371860917690579277103665343, 43072122793161625814109927284910141302642377189065973227222176304683714879497749739329145582775762851617, 29533522403613214145665639854329666597889885999886154292126216233476308351907770688755404241419638819592, 4619264243042540016276572159833466643317873032795977145237218868061928605005076838977802376819616672042, 33857441495211009643192245515852384628586127893178519344206456600278358685896882519533628942441672989138], 'aut_phi_ratio': 198.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 66, 3, 1], [3, 2, 1, 1], [4, 2, 3, 1], [4, 33, 2, 1], [6, 2, 1, 1], [11, 2, 5, 1], [12, 4, 3, 1], [22, 2, 5, 1], [33, 2, 10, 1], [44, 4, 15, 1], [66, 2, 10, 1], [132, 4, 30, 1]], 'aut_supersolvable': False, 'aut_tex': '(C_{33}\\times A_4).C_5.C_2^4', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '8.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 330, 'autcentquo_group': None, 'autcentquo_hash': 6135319449156764412, 'autcentquo_nilpotent': False, 'autcentquo_order': 3960, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_{11}:(C_{10}\\times S_3^2)', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 66, 3], [3, 2, 1], [4, 2, 3], [4, 33, 2], [6, 2, 1], [11, 2, 5], [12, 4, 3], [22, 2, 5], [33, 2, 10], [44, 4, 15], [66, 2, 10], [132, 4, 30]], 'center_label': '2.1', 'center_order': 2, 'central_product': True, 'central_quotient': '264.38', 'commutator_count': 1, 'commutator_label': '66.4', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '11.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 153, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 66, 1, 3], [3, 2, 1, 1], [4, 2, 1, 3], [4, 33, 2, 1], [6, 2, 1, 1], [11, 2, 5, 1], [12, 4, 1, 3], [22, 2, 5, 1], [33, 2, 10, 1], [44, 4, 5, 3], [66, 2, 10, 1], [132, 4, 10, 3]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 1344, 'exponent': 132, 'exponents_of_order': [4, 1, 1], 'factors_of_aut_order': [2, 3, 5, 11], 'factors_of_order': [2, 3, 11], 'faithful_reps': [[4, 1, 10]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '264.38', 'hash': 153, 'hyperelementary': 2, 'id': 280229, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 66, 'inner_gen_orders': [2, 2, 66], 'inner_gens': [[1, 2, 524], [1, 2, 268], [9, 266, 4]], 'inner_hash': 38, 'inner_nilpotent': False, 'inner_order': 264, 'inner_split': True, 'inner_tex': 'C_2\\times D_{66}', 'inner_used': [1, 2, 3], 'irrC_degree': 4, 'irrQ_degree': 40, 'irrQ_dim': 80, 'irrR_degree': 4, 'irrep_stats': [[1, 8], [2, 66], [4, 16]], 'label': '528.153', 'linC_count': 90, 'linC_degree': 4, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 14, 'linQ_degree_count': 4, 'linQ_dim': 16, 'linQ_dim_count': 16, 'linR_count': 10, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D132:C2', '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': 90, 'number_divisions': 24, 'number_normal_subgroups': 35, 'number_subgroup_autclasses': 40, 'number_subgroup_classes': 80, 'number_subgroups': 840, 'old_label': None, 'order': 528, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 199], [3, 2], [4, 72], [6, 2], [11, 10], [12, 12], [22, 10], [33, 20], [44, 60], [66, 20], [132, 120]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 30, 'outer_gen_orders': [2, 2, 30], 'outer_gen_pows': [88, 396, 0], 'outer_gens': [[353, 2, 436], [133, 134, 436], [223, 396, 390]], 'outer_group': '120.45', 'outer_hash': 45, 'outer_nilpotent': False, 'outer_order': 120, 'outer_permdeg': 12, 'outer_perms': [40320, 3628800, 43547329], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_{10}\\times D_6', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 22, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 4], [4, 2], [10, 4], [20, 5], [40, 1]], 'representations': {'PC': {'code': 310469607847091846292356204510000019, 'gens': [1, 2, 3], 'pres': [6, -2, -2, -2, -2, -3, -11, 1591, 9434, 2420, 50, 12483, 69, 15364, 118, 17285]}, 'GLZN': {'d': 2, 'p': 110, 'gens': [30613067, 1332101, 118459089, 43259162, 75207551, 60969525]}, 'Perm': {'d': 22, 'gens': [494091683684489647, 56584534498652160000, 109743840910319616000, 163492082011754496000, 6706022400, 4364893]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_{132}:C_2', 'transitive_degree': 264, 'wreath_data': None, 'wreath_product': False}