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': 4, 'aut_exponent': 12, 'aut_gen_orders': [6, 6, 6, 6, 6], 'aut_gens': [[7360375810, 95016902703, 188771350367], [536657068372, 276079875738, 182105239727], [616558607536, 642980263129, 7360376266], [637674958077, 133217285332, 288998358294], [349279262969, 610378756009, 716112115003], [276079875289, 188771351037, 301020612943]], 'aut_group': None, 'aut_hash': 8620744962507702163, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 15552, 'aut_permdeg': 114, 'aut_perms': [2185617187288563215998530284365049395478429469998959361873715057344502225862244394023297295781898084943493708763303705709942559920804084142349013659468937545504153907556424516724817800380, 601425261826822662883106386658973733155676044531001803546052497904687447784575563706506811058023433822957083493915852750260338207774094993688663011489390950463218767010915516700009149222, 1294076685542629622660641926856372391634539224605703947334994533788095732625748952191850192394101816548429032517194101201137674219083460765705829701103998574667152584765965072952822406562, 302837557294434280832679421556241349861894190925690062341204477734437867887662820966734898496823449090559062673176234912972647260086108121525890377618647638859296136136680692899353756965, 1978061550786451116846164966960769770297194952548443207874287092386411779077725044218570419679391517643564668791437118125823226209865335239251828784994078696597027536659144296080950996435], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 6, 1, 1], [2, 9, 1, 2], [2, 54, 1, 1], [2, 54, 2, 1], [2, 81, 1, 1], [3, 2, 1, 1], [3, 4, 1, 2], [3, 4, 2, 1], [3, 6, 2, 1], [3, 8, 1, 1], [3, 12, 1, 1], [3, 24, 2, 3], [3, 48, 1, 1], [4, 162, 2, 1], [6, 6, 2, 1], [6, 12, 1, 1], [6, 12, 2, 1], [6, 18, 1, 2], [6, 36, 1, 2], [6, 36, 2, 3], [6, 54, 2, 2], [6, 72, 1, 1], [6, 72, 2, 2], [6, 108, 1, 2], [6, 108, 2, 3], [6, 162, 1, 1], [6, 216, 2, 1], [12, 324, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^3.D_6^2.C_2^2', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': None, 'autcentquo_hash': 8620744962507702163, 'autcentquo_nilpotent': False, 'autcentquo_order': 15552, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\He_3.D_6^2.C_2^2', 'cc_stats': [[1, 1, 1], [2, 6, 1], [2, 9, 2], [2, 54, 3], [2, 81, 1], [3, 2, 1], [3, 4, 4], [3, 6, 2], [3, 8, 1], [3, 12, 1], [3, 24, 6], [3, 48, 1], [4, 162, 2], [6, 6, 2], [6, 12, 3], [6, 18, 2], [6, 36, 8], [6, 54, 4], [6, 72, 5], [6, 108, 8], [6, 162, 1], [6, 216, 2], [12, 324, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '3888.ir', 'commutator_count': 1, 'commutator_label': '486.231', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 226, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 6, 1, 1], [2, 9, 1, 2], [2, 54, 1, 3], [2, 81, 1, 1], [3, 2, 1, 1], [3, 4, 1, 2], [3, 4, 2, 1], [3, 6, 1, 2], [3, 8, 1, 1], [3, 12, 1, 1], [3, 24, 1, 6], [3, 48, 1, 1], [4, 162, 1, 2], [6, 6, 2, 1], [6, 12, 1, 1], [6, 12, 2, 1], [6, 18, 1, 2], [6, 36, 1, 6], [6, 36, 2, 1], [6, 54, 1, 2], [6, 54, 2, 1], [6, 72, 1, 5], [6, 108, 1, 6], [6, 108, 2, 1], [6, 162, 1, 1], [6, 216, 1, 2], [12, 324, 1, 2]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 967680, 'exponent': 12, 'exponents_of_order': [5, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[12, 0, 8], [24, 1, 2]], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '1296.3528', 'hash': 781723869134371487, 'hyperelementary': 1, 'id': 444768, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [12, 12, 6], 'inner_gens': [[7360375810, 175402846775, 382254203926], [182105240294, 95016902703, 288998358232], [112685131732, 642980263578, 188771350367]], 'inner_hash': 781723869134371487, 'inner_nilpotent': False, 'inner_order': 3888, 'inner_split': True, 'inner_tex': 'C_3^4:(S_3\\times D_4)', 'inner_used': [1, 2, 3], 'irrC_degree': 12, 'irrQ_degree': 24, 'irrQ_dim': 24, 'irrR_degree': 24, 'irrep_stats': [[1, 8], [2, 10], [4, 14], [6, 8], [8, 12], [12, 8], [16, 1], [24, 2]], 'label': '3888.ir', 'linC_count': 64, 'linC_degree': 10, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 32, 'linQ_dim': 10, 'linQ_dim_count': 32, 'linR_count': 32, 'linR_degree': 10, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C3^4:(S3*D4)', 'ngens': 3, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 42, 'number_characteristic_subgroups': 21, 'number_conjugacy_classes': 63, 'number_divisions': 57, 'number_normal_subgroups': 43, 'number_subgroup_autclasses': 647, 'number_subgroup_classes': 1049, 'number_subgroups': 28378, 'old_label': None, 'order': 3888, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 267], [3, 242], [4, 324], [6, 2406], [12, 648]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [0, 0], 'outer_gens': [[175402846210, 182105239983, 730638236207], [616558607410, 610378756143, 474897512927]], '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': 6, '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, 10], [4, 14], [6, 4], [8, 12], [12, 2], [16, 1], [24, 6]], 'representations': {'PC': {'code': '330087296605511938532656090776936647999570185280154738932584112341456149283543294464240547713164907', 'gens': [1, 2, 4, 5, 7, 9], 'pres': [9, 2, 2, 3, 3, 2, 3, 2, 3, 3, 15444, 30637, 46, 70526, 867, 444, 36724, 16483, 5422, 130, 4541, 4550, 1319, 115674, 57849, 44250, 1932, 186, 186631, 93328, 1771, 35000, 35009, 1034]}, 'Perm': {'d': 15, 'gens': [7360375810, 95016902703, 188771350367]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^4:(S_3\\times D_4)', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}