Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 4, 'aut_gen_orders': [2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 4], 'aut_gens': [[39049, 39087, 13797, 23693], [4225, 63593, 21283, 13451], [39049, 63721, 5031, 23693], [4225, 13413, 37671, 23693], [39049, 28769, 46573, 54405], [39049, 63593, 13797, 23693], [4225, 39087, 46573, 23693], [63631, 39087, 13797, 13451], [39049, 4263, 46573, 23693], [39049, 39087, 46573, 23693], [39049, 4263, 54059, 23693], [39049, 48365, 37807, 23693]], 'aut_group': '2048.cqx', 'aut_hash': 3003538303849465736, 'aut_nilpotency_class': 3, 'aut_nilpotent': True, 'aut_order': 2048, 'aut_permdeg': 16, 'aut_perms': [5505165389326, 8395109434180, 6720512203704, 19200362299, 18498, 4215700707409, 5523854077413, 1327353713280, 1327353718609, 5523854090178, 8395109417809], 'aut_phi_ratio': 64.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 2, 2, 1], [2, 4, 2, 1], [2, 4, 4, 1], [4, 2, 2, 2], [4, 4, 2, 1], [4, 4, 4, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2^5.D_4^2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '256.56092', 'autcent_hash': 56092, 'autcent_nilpotent': True, 'autcent_order': 256, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^8', 'autcentquo_abelian': True, 'autcentquo_cyclic': False, 'autcentquo_exponent': 2, 'autcentquo_group': '8.5', 'autcentquo_hash': 5, 'autcentquo_nilpotent': True, 'autcentquo_order': 8, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^3', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [2, 4, 6], [4, 2, 4], [4, 4, 6]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '16.14', 'commutator_count': 1, 'commutator_label': '4.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 216, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [2, 4, 1, 6], [4, 2, 1, 4], [4, 4, 1, 6]], 'element_repr_type': 'GLZq', 'elementary': 2, 'eulerian_function': 2520, 'exponent': 4, 'exponents_of_order': [6], 'factors_of_aut_order': [2], 'factors_of_order': [2], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '16.14', 'hash': 216, 'hyperelementary': 2, 'id': 542623, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 2, 'inner_gen_orders': [2, 2, 2, 2], 'inner_gens': [[39049, 39087, 46573, 23693], [39049, 39087, 21283, 54405], [4225, 63593, 13797, 23693], [39049, 4263, 13797, 23693]], 'inner_hash': 14, 'inner_nilpotent': True, 'inner_order': 16, 'inner_split': False, 'inner_tex': 'C_2^4', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 4], [4, 2]], 'label': '64.216', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C4^2:C2^2', 'ngens': 4, 'nilpotency_class': 2, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 10, 'number_characteristic_subgroups': 13, 'number_conjugacy_classes': 22, 'number_divisions': 22, 'number_normal_subgroups': 81, 'number_subgroup_autclasses': 58, 'number_subgroup_classes': 167, 'number_subgroups': 305, 'old_label': None, 'order': 64, 'order_factorization_type': 3, 'order_stats': [[1, 1], [2, 31], [4, 32]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2, 2, 2, 2], 'outer_gen_pows': [23693, 4097, 23693, 23693, 54277, 4097, 4097], 'outer_gens': [[63631, 48237, 13797, 23693], [63631, 39087, 13797, 13451], [39049, 28897, 46437, 23693], [39049, 54443, 13797, 23693], [39049, 54443, 30185, 23693], [39049, 63593, 13797, 23693], [39049, 39087, 21283, 23693]], 'outer_group': '128.2216', 'outer_hash': 2216, 'outer_nilpotent': True, 'outer_order': 128, 'outer_permdeg': 12, 'outer_perms': [258829927, 212340360, 83463965, 11291160, 11370960, 90842400, 90842416], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4^2:C_2', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 12, 'pgroup': 2, 'primary_abelian_invariants': [2, 2, 2, 2], 'quasisimple': False, 'rank': 4, 'rational': True, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 4], [4, 2]], 'representations': {'PC': {'code': 18970941854804, 'gens': [1, 2, 3, 5], 'pres': [6, 2, 2, 2, 2, 2, 2, 650, 404, 50, 730, 88]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [24992892284608672, 58301495115895688, 125055985569224674, 24992906222178876]}, 'GLFp': {'d': 5, 'p': 2, 'gens': [32646211, 32681027, 5226561, 20290625, 18125889, 18191425]}, 'GLZq': {'d': 2, 'q': 16, 'gens': [4225, 63503, 39049, 37671, 54277, 4879]}, 'Perm': {'d': 12, 'gens': [40723325, 80641440, 135732247, 139361760, 167450520, 16]}}, 'schur_multiplier': [2, 2, 2, 2, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_4^2:C_2^2', 'transitive_degree': 16, 'wreath_data': None, 'wreath_product': False}