Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 24, 'aut_gen_orders': [8, 8, 8, 12], 'aut_gens': [[7276872962, 14464845496, 21276823680, 23, 311, 333, 107417283120, 201714508800], [697550480458, 288443519282, 218117052720, 635, 78, 627, 712287359280, 107417283120], [181753165915, 444996558741, 356976310320, 94, 627, 78, 293363849520, 351786763440], [537523701658, 379943786882, 730604896560, 635, 56, 285, 293363849520, 351786763440], [175884352640, 387560643595, 448998762240, 94, 676, 697, 293363849520, 562435014960]], 'aut_group': None, 'aut_hash': 2069019395278717008, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 10368, 'aut_permdeg': 216, 'aut_perms': [5103449113146358831859751698305003756807980508936837214372161242858724813123487031723625384638213080443147124490736159881048706209357947602000544785390701407430852307082280872204841283466028192958755890858915030826927702252575547900502630641952526633463618941674549558585421651178004371869717314396041760087203579003583945287971625670818162958472324515645865450268989427943657682284915403184897663588308830288386, 532273761421187777962904892824714608783764298160388928780885487803420141158005422381133549677505450508556507173485901244900004212869673209639946141943184067040240492740940130217232339649777911316785427243212585697770472880832428460323912682328408048986705018877056980771440715072729104832863911248538416804724069371354984788410335313070602987701730236997102034632439683898671067138274049242774614291950795075974, 862710898857477586874459022698465488680558088100918774524981558518019750682323418045028090583908707830015276051792021072231662119051736275360830767382233839176858026064502604546062720238361649745803083859303295701754201500782612943620385182003737717267874932247399551399156868770292216100397448647023536734730269038706735202023725213778453080074328924384850469569744042293798174185607634742343404362949843479464, 3013763074102057804700361686828331495844890783794587149655287456862130184944793611778140534469904638706689717502826270475041138255141099210573635232589666560179303126463113828852411046480021204633099999824768583363897465111107287111960187888220771537545882023498151573616389182819437160989470390764378322810804762649146868767898290122857587882815787449706537471319309902264305645361002712851797748715879532017587], 'aut_phi_ratio': 24.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 2], [2, 81, 1, 1], [3, 4, 2, 1], [3, 8, 1, 1], [3, 16, 4, 1], [4, 54, 4, 1], [4, 162, 2, 1], [6, 36, 2, 1], [6, 72, 1, 1], [12, 108, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^4.C_4^2.C_2^3', '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': 24, 'autcentquo_group': None, 'autcentquo_hash': 2069019395278717008, 'autcentquo_nilpotent': False, 'autcentquo_order': 10368, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^4.C_4^2.C_2^3', 'cc_stats': [[1, 1, 1], [2, 9, 2], [2, 81, 1], [3, 4, 2], [3, 8, 1], [3, 16, 4], [4, 54, 4], [4, 162, 2], [6, 36, 2], [6, 72, 1], [12, 108, 4]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '1296.3499', 'commutator_count': 1, 'commutator_label': '162.54', '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'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 3499, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 2], [2, 81, 1, 1], [3, 4, 1, 2], [3, 8, 1, 1], [3, 16, 1, 4], [4, 54, 2, 2], [4, 162, 1, 2], [6, 36, 1, 2], [6, 72, 1, 1], [12, 108, 2, 2]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 48, 'exponent': 12, 'exponents_of_order': [4, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[16, 1, 4]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1296.3499', 'hash': 3499, 'hyperelementary': 1, 'id': 318819, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [4, 4, 2, 2, 3, 3, 3, 3], 'inner_gens': [[7276872962, 45509874607, 21276823680, 23, 333, 311, 201714508800, 351786763440], [37521872661, 14464845496, 21276823680, 23, 697, 333, 293363849520, 562435014960], [7276872962, 14464845496, 21276823680, 23, 311, 333, 351786763440, 629059818240], [7276872962, 14464845496, 21276823680, 23, 697, 676, 107417283120, 201714508800], [7276873040, 14464845958, 21276823680, 713, 311, 333, 107417283120, 201714508800], [7276873014, 14464845496, 21276823680, 687, 311, 333, 107417283120, 201714508800], [270244079282, 181753165576, 356976310320, 23, 311, 333, 107417283120, 201714508800], [455654671922, 306281646856, 648696303360, 23, 311, 333, 107417283120, 201714508800]], 'inner_hash': 3499, 'inner_nilpotent': False, 'inner_order': 1296, 'inner_split': False, 'inner_tex': 'C_3^2\\wr C_2.D_4', 'inner_used': [1, 2, 5, 7], 'irrC_degree': 16, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 16, 'irrep_stats': [[1, 8], [2, 2], [4, 8], [8, 2], [16, 4]], 'label': '1296.3499', 'linC_count': 16, 'linC_degree': 12, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 8, 'linQ_dim': 12, 'linQ_dim_count': 8, 'linR_count': 8, 'linR_degree': 12, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C3^2wrC2.D4', 'ngens': 8, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 12, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 24, 'number_divisions': 20, 'number_normal_subgroups': 16, 'number_subgroup_autclasses': 84, 'number_subgroup_classes': 166, 'number_subgroups': 4596, 'old_label': None, 'order': 1296, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 99], [3, 80], [4, 540], [6, 144], [12, 432]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 4], 'outer_gen_pows': [0, 23], 'outer_gens': [[7276872981, 14464845496, 21276823680, 23, 311, 676, 351786763440, 629059818240], [14464845496, 7276872981, 21276823680, 23, 285, 78, 351786763440, 712287359280]], 'outer_group': '8.3', 'outer_hash': 3, 'outer_nilpotent': True, 'outer_order': 8, 'outer_permdeg': 4, 'outer_perms': [7, 10], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 4], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 4], [8, 4], [16, 4]], 'representations': {'PC': {'code': 558439738114447171396777087067598257868381225520478169245484303, 'gens': [1, 3, 5, 6, 7, 8], 'pres': [8, -2, -2, -2, -2, -3, 3, 3, 3, 16, 290, 66, 17924, 8980, 188, 13829, 2317, 2325, 605, 2694, 8078, 4726, 2046, 55303, 7447, 6943]}, 'Perm': {'d': 15, 'gens': [7276872962, 14464845496, 21276823680, 23, 311, 333, 107417283120, 201714508800]}}, 'schur_multiplier': [6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^2\\wr C_2.D_4', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}