Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 24, 'aut_gen_orders': [8, 6, 4, 8, 8], 'aut_gens': [[1, 8, 96, 288, 864], [2561, 792, 1056, 640, 864], [2563, 2536, 96, 288, 864], [753, 1480, 1824, 352, 1920], [1049, 1704, 960, 640, 96], [401, 2568, 1824, 640, 1920]], 'aut_group': None, 'aut_hash': 2723700116397070647, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 20736, 'aut_permdeg': 216, 'aut_perms': [4095106619825063682690793682482473496856976675231959891297938217064019726025617366145006303417810107806871551524474492432744834279601472889287975089942733554030832565830820268156699906519683447812222669987590242293285365453151031609856706033822584976731667494425363078785373682634146043581406343197978359034640499817140466549474294572743109532172112218505949340520805138114870315207450762162184749593613548124447, 5645367969590106379933040481508055826771973456621077881682224141326163177717852740291355108388765900089468470380961783713758319646357053155892414455803626874610615768404108855176739140195024177771954581947491659520541239977548081427154050999366733898268274541226110398869242271234180659382539072691905494289052631474489733854712965716498713034151437222939631116897427792135777308032085054206999371087772050038344, 6320853628778007592240067880428194221858108599779159809740792026307375429352678370966908111499241244410793522479286193467455157304995613323941386927586725026178030561857489515525767656059336663219353903428137594554589508193322556344061924576744994862817831227252076156820049215642884437681857570936711080369358806263006874726381264407205272484861793002099024830810065042536072241912263394393198725654361932239918, 5514771515070075269642683383143750734361644640397625204004708589986375664517877870465887395149529030698898923655952242689844893534346605859988827460260982389913179253105776407981827510276452514049943215170825019960089843311086939578257962867256352172890939834989506473074126424000249075608093079694248041944221041683070766775309619328565880101391695921003644225370733776937138196978540286514523619035825142257753, 5026632734883495971090020829020896885844065788972978767671310613414836962880417725735044695139925614866634801301882593131753274672781098582287003827237597013635700996424804137282306610306997320409134778246267569034591246321940733311823349467898887181647871745073052196112970395755731640382667456451005216663174388944392547297060400576678364053851048533423480881634648188662956180989455882281288401996433270376636], '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, 32, 2, 1], [4, 9, 2, 1], [4, 18, 1, 1], [4, 81, 2, 1], [4, 162, 1, 1], [4, 162, 2, 1], [6, 36, 2, 1], [6, 72, 1, 1], [8, 54, 4, 2], [12, 36, 4, 1], [12, 72, 2, 1], [24, 108, 4, 2]], 'aut_supersolvable': False, 'aut_tex': 'C_3^4.C_4^2.C_2^4', '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': 2723700116397070647, 'autcentquo_nilpotent': False, 'autcentquo_order': 20736, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^4.D_4^2.C_2^2', 'cc_stats': [[1, 1, 1], [2, 9, 2], [2, 81, 1], [3, 4, 2], [3, 8, 1], [3, 32, 2], [4, 9, 2], [4, 18, 1], [4, 81, 2], [4, 162, 3], [6, 36, 2], [6, 72, 1], [8, 54, 8], [12, 36, 4], [12, 72, 2], [24, 108, 8]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '2592.pq', 'commutator_count': 1, 'commutator_label': '162.52', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 407, '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, 32, 1, 2], [4, 9, 2, 1], [4, 18, 1, 1], [4, 81, 2, 1], [4, 162, 1, 1], [4, 162, 2, 1], [6, 36, 1, 2], [6, 72, 1, 1], [8, 54, 4, 2], [12, 36, 2, 2], [12, 72, 2, 1], [24, 108, 4, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 96, 'exponent': 24, 'exponents_of_order': [5, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[32, 1, 2]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '2592.pq', 'hash': 6407552563315781201, 'hyperelementary': 1, 'id': 408092, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 24, 'inner_gen_orders': [8, 12, 3, 3, 3], 'inner_gens': [[1, 472, 1056, 32, 864], [689, 8, 1056, 288, 960], [1921, 1928, 96, 288, 864], [353, 8, 96, 288, 864], [1, 200, 96, 288, 864]], 'inner_hash': 6407552563315781201, 'inner_nilpotent': False, 'inner_order': 2592, 'inner_split': False, 'inner_tex': 'C_3^3:C_{12}:C_8', 'inner_used': [1, 2], 'irrC_degree': 32, 'irrQ_degree': 32, 'irrQ_dim': 32, 'irrR_degree': 32, 'irrep_stats': [[1, 16], [2, 4], [4, 16], [8, 4], [32, 2]], 'label': '2592.pq', 'linC_count': 64, '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': 'C3^3:C12:C8', 'ngens': 9, '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': 20, 'number_characteristic_subgroups': 21, 'number_conjugacy_classes': 42, 'number_divisions': 24, 'number_normal_subgroups': 23, 'number_subgroup_autclasses': 124, 'number_subgroup_classes': 172, 'number_subgroups': 5696, 'old_label': None, 'order': 2592, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 99], [3, 80], [4, 684], [6, 144], [8, 432], [12, 288], [24, 864]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2, 2], 'outer_gen_pows': [940, 0, 0], 'outer_gens': [[985, 1352, 960, 608, 96], [1, 1880, 1824, 288, 1728], [3, 8, 96, 608, 864]], 'outer_group': '8.5', 'outer_hash': 5, 'outer_nilpotent': True, 'outer_order': 8, 'outer_permdeg': 6, 'outer_perms': [1, 6, 120], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 8], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 4], [4, 7], [8, 4], [16, 3], [32, 2]], 'representations': {'PC': {'code': '1693540742458108246444956212500896463131497624017364666617870905909818375984305944079', 'gens': [1, 4, 7, 8, 9], 'pres': [9, -2, -2, -2, -2, -2, -3, 3, 3, 3, 18, 46, 16995, 11100, 381, 102, 115924, 8293, 922, 130, 19013, 17294, 887, 66534, 8349, 798, 2311, 12688, 10393, 9755, 8792]}, 'Perm': {'d': 15, 'gens': [368871212316, 268240959516, 224189, 45507, 338677, 219574, 287404906172, 267762211772, 19203650492]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 8], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^3:C_{12}:C_8', 'transitive_degree': 48, 'wreath_data': None, 'wreath_product': False}