Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 168, 'aut_gen_orders': [6, 3, 2, 2, 2], 'aut_gens': [[1, 522950424, 1037927569, 30], [1, 522950454, 1118880049, 30], [1, 522950454, 1037927569, 30], [1, 522950424, 1037927551, 48], [1, 522950425, 1037927569, 30], [1, 1480994646, 482762191, 48]], 'aut_group': '4032.ds', 'aut_hash': 5672968783997510635, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 4032, 'aut_permdeg': 168, 'aut_perms': [66356848750124288550141724550818040645989575788494347084005698579797417241757653615992842987539863215601305746538895528784345388081786723223826299205577562814336502759062010783670072226763285103818598148002143287937124611217504092604642493761787518068856223881302488595384485083336491747799357625362675, 193336858132877396709698433909562232986032816277727852230186855558624621657453395605863775189186453133637979936711175602051230983006988330037910263008710821278387751870072583536245134686343921387048783170535899215022442130105492472753969716648383439020244112808495328363373076157024082443590265892312196, 40571221288377604496278248563692199049299891946986893666318641774646784213621585846699526426288814642485878036334374856822329647236150790323687399760006735160265618146965616832660580205877198544844205513142881098129161785789640563151006835860752561814187230773911011212307172341110310262972026086007885, 205888674234067229895660415398080395871841216743455593399148356907700350453328419416905242456409103823810011792563590569222784502001519033209404974989935962873545170122023611159642417435685918550925942223833571544080192484744024671197796176614015566029487928216856990006107412531332598827179526954576248, 193759772125822714135115879820249038780605504832202314728261848859269826727897381887993131030543507229130803400063243981670261341495287844757830930188207873178940774892725295235883249523270245583109525296471934803205419111614147619207267793172931270999649677940027764119440745972989879502580383930237829], 'aut_phi_ratio': 7.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 21, 1, 2], [2, 84, 2, 1], [3, 2, 1, 1], [3, 56, 1, 1], [3, 112, 1, 1], [4, 42, 1, 2], [6, 2, 1, 1], [6, 42, 1, 2], [6, 56, 1, 1], [6, 112, 1, 1], [6, 168, 2, 1], [7, 48, 1, 1], [8, 126, 2, 2], [12, 84, 1, 2], [14, 48, 1, 1], [21, 48, 2, 1], [42, 48, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'D_6\\times \\PGL(2,7)', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 2, 'autcent_group': '2.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 2, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 168, 'autcentquo_group': '2016.cw', 'autcentquo_hash': 117371359274444897, 'autcentquo_nilpotent': False, 'autcentquo_order': 2016, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_3\\times \\PGL(2,7)', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 21, 2], [2, 84, 2], [3, 2, 1], [3, 56, 1], [3, 112, 1], [4, 42, 2], [6, 2, 1], [6, 42, 2], [6, 56, 1], [6, 112, 1], [6, 168, 2], [7, 48, 1], [8, 126, 4], [12, 84, 2], [14, 48, 1], [21, 48, 2], [42, 48, 2]], 'center_label': '2.1', 'center_order': 2, 'central_product': True, 'central_quotient': '1008.881', 'commutator_count': 1, 'commutator_label': '504.157', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '168.42'], 'composition_length': 4, 'conjugacy_classes_known': True, 'counter': 113, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['1008.881', 1], ['2.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 21, 1, 2], [2, 84, 1, 2], [3, 2, 1, 1], [3, 56, 1, 1], [3, 112, 1, 1], [4, 42, 1, 2], [6, 2, 1, 1], [6, 42, 1, 2], [6, 56, 1, 1], [6, 112, 1, 1], [6, 168, 1, 2], [7, 48, 1, 1], [8, 126, 2, 2], [12, 84, 1, 2], [14, 48, 1, 1], [21, 48, 2, 1], [42, 48, 2, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 207, 'exponent': 168, 'exponents_of_order': [5, 2, 1], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 3, 7], 'faithful_reps': [[6, 1, 2], [12, 1, 1], [14, 1, 1], [16, 1, 1]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '2016.ei', 'hash': 1362803657993387288, 'hyperelementary': 1, 'id': 388420, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 168, 'inner_gen_orders': [1, 6, 6, 3], 'inner_gens': [[1, 522950424, 1037927569, 30], [1, 522950424, 3484062031, 48], [1, 685889334, 1037927569, 30], [1, 522950406, 1037927569, 30]], 'inner_hash': 881, 'inner_nilpotent': False, 'inner_order': 1008, 'inner_split': True, 'inner_tex': 'C_3:\\PGL(2,7)', 'inner_used': [2, 3], 'irrC_degree': 6, 'irrQ_degree': 12, 'irrQ_dim': 12, 'irrR_degree': 6, 'irrep_stats': [[1, 4], [2, 2], [6, 10], [7, 4], [8, 4], [12, 2], [14, 2], [16, 2]], 'label': '2016.ei', 'linC_count': 2, 'linC_degree': 6, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 3, 'linQ_dim': 8, 'linQ_dim_count': 3, 'linR_count': 2, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'C6:PGL(2,7)', 'ngens': 4, '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, 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': 9, 'number_conjugacy_classes': 30, 'number_divisions': 26, 'number_normal_subgroups': 11, 'number_subgroup_autclasses': 122, 'number_subgroup_classes': 149, 'number_subgroups': 5502, 'old_label': None, 'order': 2016, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 211], [3, 170], [4, 84], [6, 590], [7, 48], [8, 504], [12, 168], [14, 48], [21, 96], [42, 96]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [0, 0], 'outer_gens': [[1, 522950425, 1037927569, 30], [1, 522950424, 1037927551, 48]], 'outer_group': '4.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 4, 'outer_permdeg': 4, 'outer_perms': [1, 6], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2', 'pc_rank': None, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 2], [6, 2], [7, 4], [8, 4], [12, 6], [14, 2], [16, 2]], 'representations': {'Perm': {'d': 13, 'gens': [1, 522950424, 1037927569, 30]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_6:\\PGL(2,7)', 'transitive_degree': 48, 'wreath_data': None, 'wreath_product': False}