Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '24.15', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 72, 'aut_gen_orders': [12, 6, 8], 'aut_gens': [[88706914083, 175918197603, 281190122884], [501853303683, 465393622563, 225314190148], [498936191884, 926233959844, 580642133043], [555743928387, 525312548043, 48152407204]], 'aut_group': '62208.k', 'aut_hash': 1312510519049042583, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 62208, 'aut_permdeg': 122, 'aut_perms': [9212060978981065898628244121754557016154886099195224443217842857429241282521735418451923867221904365173500845205603229863672294882552494692629766987738384959166720595463395318904291458409857283934578910, 18408258459462197731826141827405571075078853659747769472483587335095536890244864886904268006927000494968116161312735141499695633121931439424217405893581490931777560791867416561366730491007588688574560007, 9754827820553886202857071738417270799916315950699431899882981902444777577153013521592818480606217342269357082446658388237220024884261316514377767659878768298333745115541735702910461980063714324627710651], 'aut_phi_ratio': 12.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 12, 1, 1], [2, 18, 3, 1], [2, 36, 3, 1], [2, 81, 1, 1], [2, 108, 1, 1], [3, 1, 2, 1], [3, 8, 1, 1], [3, 8, 2, 1], [3, 8, 3, 1], [3, 8, 6, 1], [3, 16, 1, 1], [3, 16, 2, 1], [3, 32, 1, 1], [3, 32, 2, 1], [4, 216, 3, 1], [4, 324, 3, 1], [6, 12, 2, 1], [6, 18, 6, 1], [6, 24, 3, 1], [6, 24, 6, 1], [6, 36, 6, 1], [6, 48, 3, 1], [6, 48, 6, 1], [6, 72, 3, 2], [6, 72, 6, 2], [6, 81, 2, 1], [6, 96, 1, 1], [6, 96, 2, 1], [6, 108, 2, 1], [6, 144, 3, 2], [6, 144, 6, 2], [6, 216, 1, 1], [6, 216, 2, 1], [12, 216, 6, 1], [12, 324, 6, 1], [12, 432, 3, 1], [12, 432, 6, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2\\times S_3\\wr S_4', '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': 72, 'autcentquo_group': '31104.l', 'autcentquo_hash': 3924562976423699589, 'autcentquo_nilpotent': False, 'autcentquo_order': 31104, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_3\\wr S_4', 'cc_stats': [[1, 1, 1], [2, 12, 1], [2, 18, 3], [2, 36, 3], [2, 81, 1], [2, 108, 1], [3, 1, 2], [3, 8, 12], [3, 16, 3], [3, 32, 3], [4, 216, 3], [4, 324, 3], [6, 12, 2], [6, 18, 6], [6, 24, 9], [6, 36, 6], [6, 48, 9], [6, 72, 18], [6, 81, 2], [6, 96, 3], [6, 108, 2], [6, 144, 18], [6, 216, 3], [12, 216, 6], [12, 324, 6], [12, 432, 9]], 'center_label': '3.1', 'center_order': 3, 'central_product': True, 'central_quotient': '5184.bv', 'commutator_count': 1, 'commutator_label': '648.734', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 11, 'conjugacy_classes_known': True, 'counter': 44, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['5184.bv', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 12, 1, 1], [2, 18, 1, 3], [2, 36, 1, 3], [2, 81, 1, 1], [2, 108, 1, 1], [3, 1, 2, 1], [3, 8, 1, 4], [3, 8, 2, 4], [3, 16, 1, 1], [3, 16, 2, 1], [3, 32, 1, 1], [3, 32, 2, 1], [4, 216, 1, 3], [4, 324, 1, 3], [6, 12, 2, 1], [6, 18, 2, 3], [6, 24, 1, 3], [6, 24, 2, 3], [6, 36, 2, 3], [6, 48, 1, 3], [6, 48, 2, 3], [6, 72, 1, 6], [6, 72, 2, 6], [6, 81, 2, 1], [6, 96, 1, 1], [6, 96, 2, 1], [6, 108, 2, 1], [6, 144, 1, 6], [6, 144, 2, 6], [6, 216, 1, 1], [6, 216, 2, 1], [12, 216, 2, 3], [12, 324, 2, 3], [12, 432, 1, 3], [12, 432, 2, 3]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 19102720, 'exponent': 12, 'exponents_of_order': [6, 5], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[8, 0, 40], [16, 0, 14], [32, 0, 4]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '15552.br', 'hash': 1036256397452212037, 'hyperelementary': 1, 'id': 353865, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [4, 12, 6], 'inner_gens': [[88706914083, 114704283027, 637552062988], [230731857483, 175918197603, 282307294204], [700906874667, 1006471403283, 281190122884]], 'inner_hash': 8028542901996450327, 'inner_nilpotent': False, 'inner_order': 5184, 'inner_split': True, 'inner_tex': 'S_3\\wr C_2^2', 'inner_used': [1, 2, 3], 'irrC_degree': 8, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 16, 'irrep_stats': [[1, 24], [2, 18], [4, 6], [8, 60], [16, 21], [32, 6]], 'label': '15552.br', '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': None, 'name': 'C3*S3wrC2^2', '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, 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': 14, 'number_conjugacy_classes': 135, 'number_divisions': 90, 'number_normal_subgroups': 56, 'number_subgroup_autclasses': 822, 'number_subgroup_classes': 2210, 'number_subgroups': 102948, 'old_label': None, 'order': 15552, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 363], [3, 242], [4, 1620], [6, 6198], [12, 7128]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 6, 'outer_gen_orders': [2, 6], 'outer_gen_pows': [797833141204, 0], 'outer_gens': [[128021614803, 545921520603, 744540658084], [744896244988, 963001999444, 745019659467]], 'outer_group': '12.4', 'outer_hash': 4, 'outer_nilpotent': False, 'outer_order': 12, 'outer_permdeg': 5, 'outer_perms': [6, 31], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_6', 'pc_rank': 7, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 14], [4, 8], [8, 22], [16, 27], [32, 9], [64, 2]], 'representations': {'PC': {'code': '15962070909207235546720574059764553506797829431850619078595825958882881983138372939701408577610641091827157267081359275351869984830761959702464753347154768295815592583036310763439948737039', 'gens': [1, 3, 5, 7, 9, 10, 11], 'pres': [11, -2, -3, -2, -2, -2, -2, 2, -3, 3, 3, 3, 22, 157412, 76144, 90, 188499, 72086, 753724, 90435, 1126, 67247, 158, 345317, 280384, 70251, 18254, 365910, 314177, 33908, 21599, 42246, 14691, 226, 1267207, 168989, 15528, 7795, 766, 231294, 23801, 44404, 2439, 3044, 506889, 158431, 8853, 7984, 394954, 21350, 26201, 17500]}, 'Perm': {'d': 15, 'gens': [88706914083, 175918197603, 281190122884]}}, 'schur_multiplier': [2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 6], 'solvability_type': 12, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3\\times S_3\\wr C_2^2', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}