Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '15.1', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 84, 'aut_gen_orders': [4, 3, 2, 7, 2, 2, 2], 'aut_gens': [[130682160, 33, 44039520, 490654800, 1118880000, 1571280480], [130682160, 90, 44039520, 490654800, 1118880000, 1571280480], [258088320, 33, 88623360, 1571280480, 3608570160, 3125253600], [130682160, 96, 44039520, 490654800, 1118880000, 1571280480], [99479520, 33, 44039520, 1118880000, 1571280480, 2054274480], [130682160, 33, 1636669440, 490654800, 1118880000, 1571280480], [1931253120, 33, 650371680, 490654800, 1118880000, 1571280480], [562474080, 33, 974056320, 490654800, 1118880000, 1571280480]], 'aut_group': '672.1049', 'aut_hash': 1049, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 672, 'aut_permdeg': 32, 'aut_perms': [8243293624115933991884561919506, 20018600942497698900478022408834919, 7633516934892506270956801125410, 63511593702308076276398524999786837, 169939832344989904480687825817140215, 265474083259535781958193660251686, 260930423551658422565586546358757559], 'aut_phi_ratio': 3.5, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 7, 1, 1], [3, 28, 1, 2], [5, 1, 4, 1], [6, 28, 1, 2], [7, 24, 1, 2], [10, 7, 4, 1], [15, 28, 4, 2], [30, 28, 4, 2], [35, 24, 4, 2]], 'aut_supersolvable': False, 'aut_tex': 'F_8:C_{12}', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 4, 'autcent_group': '4.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 42, 'autcentquo_group': '168.43', 'autcentquo_hash': 43, 'autcentquo_nilpotent': False, 'autcentquo_order': 168, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'F_8:C_3', 'cc_stats': [[1, 1, 1], [2, 7, 1], [3, 28, 2], [5, 1, 4], [6, 28, 2], [7, 24, 2], [10, 7, 4], [15, 28, 8], [30, 28, 8], [35, 24, 8]], 'center_label': '5.1', 'center_order': 5, 'central_product': True, 'central_quotient': '168.43', 'commutator_count': 1, 'commutator_label': '56.11', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '5.1', '7.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 140, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['168.43', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 7, 1, 1], [3, 28, 2, 1], [5, 1, 4, 1], [6, 28, 2, 1], [7, 24, 2, 1], [10, 7, 4, 1], [15, 28, 8, 1], [30, 28, 8, 1], [35, 24, 8, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 672, 'exponent': 210, 'exponents_of_order': [3, 1, 1, 1], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 3, 5, 7], 'faithful_reps': [[7, 0, 12]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '840.140', 'hash': 140, 'hyperelementary': 1, 'id': 320141, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 42, 'inner_gen_orders': [3, 1, 7, 2, 2, 2], 'inner_gens': [[130682160, 33, 88623360, 2054274480, 2480043600, 490654800], [130682160, 33, 44039520, 490654800, 1118880000, 1571280480], [99479520, 33, 44039520, 1118880000, 1571280480, 2054274480], [1495792080, 33, 2454611760, 490654800, 1118880000, 1571280480], [562474080, 33, 3002147280, 490654800, 1118880000, 1571280480], [1931253120, 33, 650371680, 490654800, 1118880000, 1571280480]], 'inner_hash': 43, 'inner_nilpotent': False, 'inner_order': 168, 'inner_split': True, 'inner_tex': 'F_8:C_3', 'inner_used': [1, 3, 4], 'irrC_degree': 7, 'irrQ_degree': 28, 'irrQ_dim': 28, 'irrR_degree': 14, 'irrep_stats': [[1, 15], [3, 10], [7, 15]], 'label': '840.140', 'linC_count': 12, 'linC_degree': 7, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 11, 'linQ_degree_count': 1, 'linQ_dim': 11, 'linQ_dim_count': 1, 'linR_count': 6, 'linR_degree': 9, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'F8:C15', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 16, 'number_characteristic_subgroups': 8, 'number_conjugacy_classes': 40, 'number_divisions': 10, 'number_normal_subgroups': 8, 'number_subgroup_autclasses': 24, 'number_subgroup_classes': 24, 'number_subgroups': 208, 'old_label': None, 'order': 840, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 7], [3, 56], [5, 4], [6, 56], [7, 48], [10, 28], [15, 224], [30, 224], [35, 192]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [4], 'outer_gen_pows': [0], 'outer_gens': [[130682160, 90, 44039520, 490654800, 1118880000, 1571280480]], 'outer_group': '4.1', 'outer_hash': 1, 'outer_nilpotent': True, 'outer_order': 4, 'outer_permdeg': 4, 'outer_perms': [9], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_4', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [3, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [2, 1], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1], [24, 1], [28, 1], [56, 1]], 'representations': {'PC': {'code': 245885572472359853808670261400499, 'gens': [1, 2, 3, 4, 5], 'pres': [6, -3, -7, -2, 2, 2, -5, 73, 8696, 2780, 1515, 3873, 16384, 5470, 88]}, 'Perm': {'d': 13, 'gens': [130682160, 33, 44039520, 490654800, 1118880000, 1571280480]}}, 'schur_multiplier': [], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [15], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'F_8:C_{15}', 'transitive_degree': 40, 'wreath_data': None, 'wreath_product': False}