Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 12, 'aut_gen_orders': [2, 6, 6, 12, 6, 6], 'aut_gens': [[358389998722093, 1130005090472187, 757143462800753], [1803463617031266, 1133840899115232, 1468518318992753], [356995182406780, 774149496778010, 1485692522228869], [1800848268529222, 1487000156611314, 778153431181204], [355774686453295, 1130005054233539, 775457167345412], [85179497713222, 1108914134737683, 1486832067137461], [355774649994987, 1468605493608338, 754702507151419]], 'aut_group': None, 'aut_hash': 444612201471566299, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 139968, 'aut_permdeg': 324, 'aut_perms': [146051629414626282361357920851447865119326478204071013950941290267098731854450795094307408045260791291859222477809117652138360468537392989075953763105931372984994221851129121391575777572641459399553927569146061117641769915579216157785613418246014140512387092223446618849242175714014401779504317929704653092915346584693889265893854781779842000065545570890032306689585970200661708284668289554018301864226356611976812139827234580141028738089291907276180714884605120432587428000319053455593308515013040713781699142460453228329413021723337687937753545678881099604111831216099831329484302632306566456727568939605444231008696026047807591141908433233444872137382906982909727520772970, 118099779881860354187734437230883524109417547940418703165979955796003532997435402406890674174733361724765656939536070355048459224370601205284985321915133744137826772913127886165367491588522781431830142749531517641745240165026733461984617330711374475886046970306332739656489346628986298949857136752244809523950210408643944834477869976184878976737346038816985332981232688802929397259977320156595890628539687346549222171644488794429949420466811350977924110537517380335759882157852557729426055308790202822524125348380656287707676092924264126522844448813508464155558602434061348241170046073501199539707704194214077482008541798483851658672240282031178427241456108323517436048507429, 21427732757115350606625595204521219361786652072994174640194891046904727391829991329036746334955503352886287402671413190296435330479387425882471058005589386029078986981140597801012193304090131177760206361301420553679792433664397031579369499229121306080407016548658882021510571527756896652037197425539767988136323620322821274841645862770696622601540652645228194912945683269799611862536841117174342179230056633029286993512415725011714971886409516206629744228085078092493499185594146044737350180307488246598654937480489293790106187292726957146322759092091310052506646901909707452036196787334540432564360769615923216955123586295153174041094930202526810654582093424838056477273082, 181387908758943860597725108927844757613993800902930662362269583973278509514157986640317189862812283848685140713119068939239361295416721788723314797659354435597534126273355213391849481064124107603514266976430930766138472794185645279166310762596071611301804300137492651652965257190418182149261885050131760184091172750057342062501807016903268197600898566575682375738064358561758727584098088415560038274714049934231880872592241151723271401949996879546460279276100340790696672236721681928329639581774522200173189398806110045677645150630334041348133924981724169504414911676687181179462400634073937867419296469285193027798184731560639130906406395973383318824664163194085966114259291, 50242633600438817168656956685801415054292059256741740619041544617563559180549814120276149963155832784961085373272399701832784023779863767978424791727658129570551427918939111031388845178809060006998715062488508919914004499536621973659017187069407213208349261475416758845582977026733858080836703678736637394134480640954847844574817554985685416066346536282447819432094695126580812594595932672942345216357004338306351349027905175624375594881341490950920746197252399301875382273321958986973332398270428901675803919046579257579730252117900181463395733974202267955869817308895670572270514454657997311627398736185627471680069481888832776966908750353736243721524008528603401650388825, 110105203781797605611678643073325833052312710979890778888542437340965450583839730580605387315301645064657674803041286863495335929176794217381809238282673075696861056847412577431935580346869106605684419063417298965531125392698867941095664071113717171903769108940417509376008257171815761964476789031572718745474852049380158431010716886973004239923818058581002780442344544785634455481391200645523664239158331391537889450772478849207845050355560310985179444114264533671277841975283430107192409556097243960813916406264424165124670119320344698978871030961185357569129391816651590852462579455607016214433411025662994509016890542444746160156145529664930350092057543571494825784032000], 'aut_phi_ratio': 72.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 162, 1, 2], [3, 2, 1, 2], [3, 4, 1, 3], [3, 4, 2, 1], [3, 6, 1, 1], [3, 6, 3, 1], [3, 8, 1, 3], [3, 8, 2, 2], [3, 12, 1, 1], [3, 12, 2, 1], [3, 12, 3, 1], [3, 24, 1, 1], [3, 24, 2, 2], [3, 24, 3, 2], [3, 24, 6, 2], [4, 162, 1, 1], [6, 18, 1, 2], [6, 36, 1, 1], [6, 54, 1, 1], [6, 54, 3, 1], [6, 108, 1, 1], [6, 108, 3, 1], [6, 162, 2, 2], [6, 324, 1, 2], [6, 324, 2, 2], [12, 162, 2, 1], [12, 162, 6, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^6.C_6.C_2^5', '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': 444612201471566299, 'autcentquo_nilpotent': False, 'autcentquo_order': 139968, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^5.C_6^2.C_2^4', 'cc_stats': [[1, 1, 1], [2, 9, 1], [2, 162, 2], [3, 2, 2], [3, 4, 5], [3, 6, 4], [3, 8, 7], [3, 12, 6], [3, 24, 23], [4, 162, 1], [6, 18, 2], [6, 36, 1], [6, 54, 4], [6, 108, 4], [6, 162, 4], [6, 324, 6], [12, 162, 8]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '5832.jn', 'commutator_count': 1, 'commutator_label': '1458.1754', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 248, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 162, 1, 2], [3, 2, 1, 2], [3, 4, 1, 3], [3, 4, 2, 1], [3, 6, 1, 4], [3, 8, 1, 5], [3, 8, 2, 1], [3, 12, 1, 4], [3, 12, 2, 1], [3, 24, 1, 15], [3, 24, 2, 4], [4, 162, 1, 1], [6, 18, 1, 2], [6, 36, 1, 1], [6, 54, 1, 4], [6, 108, 1, 4], [6, 162, 2, 2], [6, 324, 1, 2], [6, 324, 2, 2], [12, 162, 2, 4]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 483840, 'exponent': 12, 'exponents_of_order': [6, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[24, 0, 2], [24, 1, 2]], 'familial': False, 'frattini_label': '3.1', 'frattini_quotient': '1944.3918', 'hash': 1363228852369893253, 'hyperelementary': 1, 'id': 479364, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [6, 12, 6], 'inner_gens': [[358389998722093, 753394872739610, 1129836964624882], [355774650289222, 1130005090472187, 775457167462804], [86399993556066, 1485524352860083, 757143462800753]], 'inner_hash': 1363228852369893253, 'inner_nilpotent': False, 'inner_order': 5832, 'inner_split': True, 'inner_tex': 'C_3^5:D_{12}', 'inner_used': [1, 2, 3], 'irrC_degree': 24, 'irrQ_degree': 24, 'irrQ_dim': 24, 'irrR_degree': 24, 'irrep_stats': [[1, 4], [2, 21], [4, 16], [6, 4], [8, 25], [12, 6], [24, 5]], 'label': '5832.jn', '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': True, 'name': 'C3^5:D12', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 43, 'number_characteristic_subgroups': 31, 'number_conjugacy_classes': 81, 'number_divisions': 66, 'number_normal_subgroups': 52, 'number_subgroup_autclasses': 1009, 'number_subgroup_classes': 2266, 'number_subgroups': 65876, 'old_label': None, 'order': 5832, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 333], [3, 728], [4, 162], [6, 3312], [12, 1296]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 6, 'outer_gen_orders': [2, 2, 6], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[358389999025222, 1130005090723610, 757143462783230], [358389955176493, 1130005090472187, 757143499088753], [358389998941050, 1130005010780083, 757143542691677]], 'outer_group': '24.14', 'outer_hash': 14, 'outer_nilpotent': False, 'outer_order': 24, 'outer_permdeg': 7, 'outer_perms': [7, 127, 863], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2\\times D_6', 'pc_rank': None, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 11], [4, 17], [6, 2], [8, 19], [12, 3], [16, 4], [24, 5], [48, 1]], 'representations': {'PC': {'code': '96258800197103552575739861555504194843558130340910839503741214090800084638441650319646434940945188130367', 'gens': [1, 2, 5, 6, 7, 8, 9], 'pres': [9, -2, -2, -2, -3, -3, 3, 3, 3, 3, 50760, 80749, 46, 22574, 74, 579, 17833, 562, 159413, 69350, 46679, 38426, 163302, 81663, 47652, 40857, 155527, 91600, 51865, 38914, 314936, 31121, 112292, 17531]}, 'Perm': {'d': 18, 'gens': [358389998722093, 1130005090472187, 757143462800753]}}, 'schur_multiplier': [6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^5:D_{12}', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}