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': 2, 'aut_exponent': 168, 'aut_gen_orders': [6, 8, 4, 6, 6, 24], 'aut_gens': [[127370880, 87178291200, 174403768543, 93532721625, 174356582400, 40279680], [127370880, 87178291200, 93452525342, 174483987106, 93405312000, 87091200], [127370880, 87305662080, 174403780020, 93532688335, 174356582400, 87091200], [127370880, 6354391680, 93452487821, 174483973091, 93405312000, 87091200], [127370880, 6354391680, 174436817822, 93532709730, 174356582400, 40279680], [127370880, 87305662080, 93485513437, 174483959039, 93405312000, 40279680], [127370880, 180583603200, 174403759079, 93532688335, 174356582400, 87091200]], 'aut_group': None, 'aut_hash': 6220676842330196211, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 16128, 'aut_permdeg': 64, 'aut_perms': [39856665492537203659291685482026655970956316337824259638639291061163030229749547824433762, 56584121952136965796466200128185226907480523325432514690406585592530894316592553842106724, 37788484462878540447079462301302500078029286514698128035527153921741262080095648161550260, 66912879348074926445594415905114019605059751381443180509948353043019411057388496062795055, 63270650255060800573893643216374462378373436183147155266467420451502559611099945457819425, 31818558100670896300174934589950334359915188264004688230780559188775054063588020561231798], 'aut_phi_ratio': 7.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 3, 2, 1], [2, 6, 1, 1], [2, 21, 1, 2], [2, 42, 1, 1], [2, 56, 1, 1], [2, 63, 2, 1], [2, 126, 1, 1], [2, 168, 1, 1], [3, 2, 1, 1], [3, 56, 1, 1], [3, 112, 1, 1], [4, 42, 1, 2], [4, 56, 1, 1], [4, 84, 1, 1], [4, 126, 2, 1], [4, 168, 1, 1], [4, 252, 1, 1], [6, 2, 1, 1], [6, 4, 1, 1], [6, 42, 1, 2], [6, 56, 1, 1], [6, 84, 1, 1], [6, 112, 1, 4], [6, 168, 2, 1], [6, 224, 1, 2], [6, 336, 1, 2], [7, 48, 1, 1], [8, 84, 1, 4], [8, 252, 1, 4], [12, 84, 1, 2], [12, 112, 1, 2], [12, 168, 1, 1], [12, 224, 1, 1], [12, 336, 1, 1], [14, 48, 1, 1], [14, 48, 2, 1], [14, 144, 2, 2], [21, 96, 1, 1], [24, 168, 1, 4], [42, 96, 1, 1], [42, 96, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^3\\times \\SO(3,7)\\times S_3', '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': 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, 2, 1], [2, 3, 2], [2, 6, 1], [2, 21, 2], [2, 42, 1], [2, 56, 1], [2, 63, 2], [2, 126, 1], [2, 168, 1], [3, 2, 1], [3, 56, 1], [3, 112, 1], [4, 42, 2], [4, 56, 1], [4, 84, 1], [4, 126, 2], [4, 168, 1], [4, 252, 1], [6, 2, 1], [6, 4, 1], [6, 42, 2], [6, 56, 1], [6, 84, 1], [6, 112, 4], [6, 168, 2], [6, 224, 2], [6, 336, 2], [7, 48, 1], [8, 84, 4], [8, 252, 4], [12, 84, 2], [12, 112, 2], [12, 168, 1], [12, 224, 1], [12, 336, 1], [14, 48, 3], [14, 144, 4], [21, 96, 1], [24, 168, 4], [42, 96, 3]], 'center_label': '2.1', 'center_order': 2, 'central_product': True, 'central_quotient': '4032.ds', 'commutator_count': 1, 'commutator_label': '1008.884', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '168.42'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 75, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['1344.11295', 1], ['6.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 3, 1, 2], [2, 6, 1, 1], [2, 21, 1, 2], [2, 42, 1, 1], [2, 56, 1, 1], [2, 63, 1, 2], [2, 126, 1, 1], [2, 168, 1, 1], [3, 2, 1, 1], [3, 56, 1, 1], [3, 112, 1, 1], [4, 42, 1, 2], [4, 56, 1, 1], [4, 84, 1, 1], [4, 126, 1, 2], [4, 168, 1, 1], [4, 252, 1, 1], [6, 2, 1, 1], [6, 4, 1, 1], [6, 42, 1, 2], [6, 56, 1, 1], [6, 84, 1, 1], [6, 112, 1, 4], [6, 168, 1, 2], [6, 224, 1, 2], [6, 336, 1, 2], [7, 48, 1, 1], [8, 84, 2, 2], [8, 252, 2, 2], [12, 84, 1, 2], [12, 112, 1, 2], [12, 168, 1, 1], [12, 224, 1, 1], [12, 336, 1, 1], [14, 48, 1, 1], [14, 48, 2, 1], [14, 144, 1, 2], [14, 144, 2, 1], [21, 96, 1, 1], [24, 168, 2, 2], [42, 96, 1, 1], [42, 96, 2, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 9305856, 'exponent': 168, 'exponents_of_order': [7, 2, 1], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 3, 7], 'faithful_reps': [[12, 0, 2], [24, 1, 1], [28, 1, 1], [32, 1, 1]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '4032.ds', 'hash': 4734243620999118076, 'hyperelementary': 1, 'id': 510881, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 168, 'inner_gen_orders': [1, 2, 6, 6, 3, 2], 'inner_gens': [[127370880, 87178291200, 174403768543, 93532721625, 174356582400, 40279680], [127370880, 87178291200, 93452498143, 174483992025, 93405312000, 40279680], [127370880, 180583603200, 174403768543, 93532688335, 174356582400, 87091200], [127370880, 6227020800, 174403768244, 93532721625, 174356582400, 40279680], [127370880, 180583603200, 174403768543, 93532721625, 174356582400, 40279680], [127370880, 87178291200, 174436790623, 93532721625, 174356582400, 40279680]], 'inner_hash': 5672968783997510635, 'inner_nilpotent': False, 'inner_order': 4032, 'inner_split': True, 'inner_tex': 'D_6\\times \\PGL(2,7)', 'inner_used': [2, 3, 4, 6], 'irrC_degree': 12, 'irrQ_degree': 24, 'irrQ_dim': 24, 'irrR_degree': 24, 'irrep_stats': [[1, 8], [2, 6], [4, 1], [6, 16], [7, 8], [8, 8], [12, 10], [14, 6], [16, 6], [24, 1], [28, 1], [32, 1]], 'label': '8064.cw', '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': False, 'name': 'S3*GL(3,2):D4', '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, 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': 64, 'number_characteristic_subgroups': 32, 'number_conjugacy_classes': 72, 'number_divisions': 63, 'number_normal_subgroups': 36, 'number_subgroup_autclasses': 1040, 'number_subgroup_classes': 1403, 'number_subgroups': 83398, 'old_label': None, 'order': 8064, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 575], [3, 170], [4, 896], [6, 2134], [7, 48], [8, 1344], [12, 1120], [14, 720], [21, 96], [24, 672], [42, 288]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [0, 0], 'outer_gens': [[127370880, 87178291200, 174403768543, 93532721625, 174356582400, 87091200], [127370880, 87305662080, 174403768543, 93532721625, 174356582400, 40279680]], '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': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 6], [4, 1], [6, 4], [7, 8], [8, 8], [12, 10], [14, 6], [16, 6], [24, 4], [28, 1], [32, 1]], 'representations': {'Perm': {'d': 15, 'gens': [127370880, 87178291200, 174403768543, 93532721625, 174356582400, 40279680]}}, 'schur_multiplier': [2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'S_3\\times \\GL(3,2):D_4', 'transitive_degree': 84, 'wreath_data': None, 'wreath_product': False}