Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '40.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 12, 'aut_gen_orders': [4, 2, 4, 4, 12, 4, 12, 2], 'aut_gens': [[1, 2, 4], [243, 242, 166], [241, 2, 246], [281, 242, 356], [361, 242, 268], [401, 2, 54], [243, 242, 390], [203, 2, 244], [283, 242, 356]], 'aut_group': None, 'aut_hash': 8810918569713110060, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 3072, 'aut_permdeg': 36, 'aut_perms': [10622321338897468774444418259490098496535, 95743914216904934974882323197813174164294, 242821220515740931399374064797153123574085, 30709468908519970097870779497528994316999, 86287783443809311505081252607009834938855, 30706837113537532399770967001508107389895, 339152445377233597690130284954325908095288, 338850104862211974855440262806008467960941], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 12, 2, 1], [3, 2, 1, 1], [4, 2, 1, 2], [4, 12, 2, 1], [5, 1, 4, 1], [6, 2, 1, 1], [6, 2, 2, 1], [8, 2, 4, 1], [10, 1, 4, 1], [10, 1, 8, 1], [10, 12, 8, 1], [12, 2, 2, 2], [15, 2, 4, 1], [20, 2, 4, 2], [20, 12, 8, 1], [24, 2, 8, 1], [30, 2, 4, 1], [30, 2, 8, 1], [40, 2, 16, 1], [60, 2, 8, 2], [120, 2, 32, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_3:(C_2^5.C_2^5)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '128.1031', 'autcent_hash': 1031, 'autcent_nilpotent': True, 'autcent_order': 128, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3.C_2^4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '24.14', 'autcentquo_hash': 14, 'autcentquo_nilpotent': False, 'autcentquo_order': 24, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times D_6', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 12, 2], [3, 2, 1], [4, 2, 2], [4, 12, 2], [5, 1, 4], [6, 2, 3], [8, 2, 4], [10, 1, 12], [10, 12, 8], [12, 2, 4], [15, 2, 4], [20, 2, 8], [20, 12, 8], [24, 2, 8], [30, 2, 12], [40, 2, 16], [60, 2, 16], [120, 2, 32]], 'center_label': '20.5', 'center_order': 20, 'central_product': True, 'central_quotient': '24.6', 'commutator_count': 1, 'commutator_label': '12.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 781, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['48.6', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 12, 1, 2], [3, 2, 1, 1], [4, 2, 1, 2], [4, 12, 1, 2], [5, 1, 4, 1], [6, 2, 1, 3], [8, 2, 2, 2], [10, 1, 4, 3], [10, 12, 4, 2], [12, 2, 2, 2], [15, 2, 4, 1], [20, 2, 4, 2], [20, 12, 4, 2], [24, 2, 4, 2], [30, 2, 4, 3], [40, 2, 8, 2], [60, 2, 8, 2], [120, 2, 16, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 10416, 'exponent': 120, 'exponents_of_order': [5, 1, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '120.45', 'hash': 781, 'hyperelementary': 2, 'id': 129536, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 1, 12], 'inner_gens': [[1, 2, 44], [1, 2, 4], [441, 2, 4]], 'inner_hash': 6, 'inner_nilpotent': False, 'inner_order': 24, 'inner_split': True, 'inner_tex': 'D_{12}', 'inner_used': [1, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 40], [2, 110]], 'label': '480.781', 'linC_count': 768, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 48, 'linQ_dim': 10, 'linQ_dim_count': 48, 'linR_count': 64, 'linR_degree': 5, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C40:D6', 'ngens': 7, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 28, 'number_characteristic_subgroups': 34, 'number_conjugacy_classes': 150, 'number_divisions': 40, 'number_normal_subgroups': 66, 'number_subgroup_autclasses': 92, 'number_subgroup_classes': 136, 'number_subgroups': 388, 'old_label': None, 'order': 480, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 27], [3, 2], [4, 28], [5, 4], [6, 6], [8, 8], [10, 108], [12, 8], [15, 8], [20, 112], [24, 16], [30, 24], [40, 32], [60, 32], [120, 64]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 4, 4], 'outer_gen_pows': [0, 0, 0, 0, 0], 'outer_gens': [[3, 2, 196], [1, 2, 6], [3, 2, 364], [3, 2, 388], [1, 242, 438]], 'outer_group': '128.2154', 'outer_hash': 2154, 'outer_nilpotent': True, 'outer_order': 128, 'outer_permdeg': 12, 'outer_perms': [40285008, 127375920, 40279681, 361, 87454369], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_4^2:C_2^3', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 6], [4, 12], [8, 8], [16, 4], [32, 2]], 'representations': {'PC': {'code': 103575408747352717435545311969287, 'gens': [1, 2, 3], 'pres': [7, -2, -2, -2, -2, -2, -3, -5, 926, 58, 2467, 80, 6164, 102, 14789, 166]}, 'GLFp': {'d': 3, 'p': 11, 'gens': [1554040531, 228508994, 1755695563, 1346180548, 857494092, 1714988184, 1080409187]}, 'Perm': {'d': 18, 'gens': [5511392410320, 358477173694080, 777033561427200, 33, 1156090040582400, 358477173331200, 5760]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 10], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{40}:D_6', 'transitive_degree': 240, 'wreath_data': None, 'wreath_product': False}