Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 16, 'aut_gen_orders': [8, 2, 16, 2, 2, 2], 'aut_gens': [[1, 2, 64], [153, 202, 192], [253, 94, 64], [253, 194, 192], [161, 98, 192], [161, 2, 64], [33, 162, 64]], 'aut_group': '2048.ib', 'aut_hash': 7805229136759487691, 'aut_nilpotency_class': 4, 'aut_nilpotent': True, 'aut_order': 2048, 'aut_permdeg': 30, 'aut_perms': [3071080737514666463810123588034, 21038661543945985836950237566222, 133957373708140247257087531140622, 13412407680, 6266956942, 382222], 'aut_phi_ratio': 16.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [4, 1, 2, 2], [4, 2, 1, 2], [4, 2, 2, 1], [4, 16, 2, 2], [8, 2, 2, 2], [8, 2, 4, 1], [8, 16, 4, 1], [16, 2, 4, 2], [16, 2, 8, 1], [32, 2, 32, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2^3\\times D_{16}:C_8', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '32.51', 'autcent_hash': 51, 'autcent_nilpotent': True, 'autcent_order': 32, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^5', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 8, 'autcentquo_group': '64.123', 'autcentquo_hash': 123, 'autcentquo_nilpotent': True, 'autcentquo_order': 64, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'D_8:C_4', 'cc_stats': [[1, 1, 1], [2, 1, 3], [4, 1, 4], [4, 2, 4], [4, 16, 4], [8, 2, 8], [8, 16, 4], [16, 2, 16], [32, 2, 32]], 'center_label': '8.2', 'center_order': 8, 'central_product': False, 'central_quotient': '32.18', 'commutator_count': 1, 'commutator_label': '16.1', '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'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 372, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [4, 1, 2, 2], [4, 2, 1, 2], [4, 2, 2, 1], [4, 16, 1, 2], [4, 16, 2, 1], [8, 2, 2, 2], [8, 2, 4, 1], [8, 16, 4, 1], [16, 2, 4, 2], [16, 2, 8, 1], [32, 2, 16, 2]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 12, 'exponent': 32, 'exponents_of_order': [8], 'factors_of_aut_order': [2], 'factors_of_order': [2], 'faithful_reps': [], 'familial': False, 'frattini_label': '64.26', 'frattini_quotient': '4.2', 'hash': 372, 'hyperelementary': 2, 'id': 83984, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 16, 'inner_gen_orders': [2, 16, 1], 'inner_gens': [[1, 94, 64], [229, 2, 64], [1, 2, 64]], 'inner_hash': 18, 'inner_nilpotent': True, 'inner_order': 32, 'inner_split': True, 'inner_tex': 'D_{16}', 'inner_used': [1, 2], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 60]], 'label': '256.372', 'linC_count': 256, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 20, 'linQ_degree_count': 10, 'linQ_dim': 20, 'linQ_dim_count': 5, 'linR_count': 80, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'Q32:C8', 'ngens': 2, 'nilpotency_class': 5, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 19, 'number_characteristic_subgroups': 29, 'number_conjugacy_classes': 76, 'number_divisions': 21, 'number_normal_subgroups': 31, 'number_subgroup_autclasses': 58, 'number_subgroup_classes': 63, 'number_subgroups': 187, 'old_label': None, 'order': 256, 'order_factorization_type': 7, 'order_stats': [[1, 1], [2, 3], [4, 76], [8, 80], [16, 32], [32, 64]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 8, 'outer_gen_orders': [2, 2, 2, 8], 'outer_gen_pows': [8, 0, 0, 0], 'outer_gens': [[9, 2, 64], [1, 190, 192], [1, 130, 64], [1, 10, 64]], 'outer_group': '64.246', 'outer_hash': 246, 'outer_nilpotent': True, 'outer_order': 64, 'outer_permdeg': 14, 'outer_perms': [362880, 6227045260, 6266937600, 39927090], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3\\times C_8', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 40, 'pgroup': 2, 'primary_abelian_invariants': [2, 8], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 7], [8, 2], [16, 3], [32, 1]], 'representations': {'PC': {'code': 656715372420455558888917202634719, 'gens': [1, 2, 7], 'pres': [8, -2, 2, -2, -2, -2, -2, 2, -2, 256, 1505, 41, 4514, 66, 1795, 91, 1924, 116, 166]}, 'GLZN': {'d': 2, 'p': 93, 'gens': [25739456, 65722316, 56907994, 61624723, 27612973, 49065838, 26281429, 58800169]}, 'GLZq': {'d': 2, 'q': 32, 'gens': [33025, 106701, 32897, 294921, 33281, 491617, 557073, 835913]}, 'Perm': {'d': 40, 'gens': [2728696234801185019148805973435969543923942057, 22618457096625397207034098907407667935281406080, 43551586463038126297286618037655967915680358400, 12568, 64446824499942635556740276985773218655870244480, 18498, 85407852568729923668065803437515040736132574080, 106344098755135128628362244407000629091951377280]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 8], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'Q_{32}:C_8', 'transitive_degree': 256, 'wreath_data': None, 'wreath_product': False}