Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '48.44', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 8, 'aut_gen_orders': [4, 4, 4, 4, 4, 4, 4, 4, 8], 'aut_gens': [[1, 2, 8, 48], [193, 26, 200, 340], [313, 126, 200, 76], [193, 362, 200, 148], [221, 218, 232, 364], [221, 122, 40, 48], [5, 174, 200, 148], [221, 98, 200, 364], [217, 294, 8, 244], [289, 170, 200, 244]], 'aut_group': None, 'aut_hash': 1673240633691560629, 'aut_nilpotency_class': 3, 'aut_nilpotent': True, 'aut_order': 16384, 'aut_permdeg': 50, 'aut_perms': [13476098899187058379926855475578769686452258234690105796688904234, 5151832752074226045053936022634943903853901811926646592974203344, 6779052994443171810484455986886591186452264900760871361993777414, 29517261345546205051035545467489051320594231079567567954605295208, 11252558904136708628163608624941653228863034205720622622264947788, 6841227124910555541847715435830969340313690438855331362372397574, 299809902289110091233957542237595908003851710339483854935867584, 24452352940153011191901684505418044972057002159717152601729600272, 6940482584609687991045215880667878257671883648544296658702591194], 'aut_phi_ratio': 128.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 1, 2, 2], [2, 8, 4, 1], [3, 1, 2, 1], [4, 2, 1, 4], [4, 2, 8, 1], [4, 8, 4, 1], [6, 1, 2, 3], [6, 1, 4, 2], [6, 8, 8, 1], [8, 2, 8, 2], [12, 2, 2, 4], [12, 2, 16, 1], [12, 8, 8, 1], [24, 2, 16, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_2^3.C_2^6.C_2^5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '1024.djt', 'autcent_hash': 1957374279625110839, 'autcent_nilpotent': True, 'autcent_order': 1024, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^{10}', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 4, 'autcentquo_group': '16.11', 'autcentquo_hash': 11, 'autcentquo_nilpotent': True, 'autcentquo_order': 16, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times D_4', 'cc_stats': [[1, 1, 1], [2, 1, 7], [2, 8, 4], [3, 1, 2], [4, 2, 12], [4, 8, 4], [6, 1, 14], [6, 8, 8], [8, 2, 16], [12, 2, 24], [12, 8, 8], [24, 2, 32]], 'center_label': '24.15', 'center_order': 24, 'central_product': True, 'central_quotient': '16.11', 'commutator_count': 1, 'commutator_label': '8.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 5261, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['128.702', 1], ['3.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [2, 8, 1, 4], [3, 1, 2, 1], [4, 2, 1, 4], [4, 2, 2, 4], [4, 8, 2, 2], [6, 1, 2, 7], [6, 8, 2, 4], [8, 2, 2, 4], [8, 2, 4, 2], [12, 2, 2, 4], [12, 2, 4, 4], [12, 8, 4, 2], [24, 2, 4, 4], [24, 2, 8, 2]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 1092, 'exponent': 24, 'exponents_of_order': [7, 1], 'factors_of_aut_order': [2], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '16.10', 'frattini_quotient': '24.15', 'hash': 5261, 'hyperelementary': 2, 'id': 122331, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 4, 'inner_gen_orders': [4, 2, 1, 4], 'inner_gens': [[1, 314, 8, 48], [121, 2, 8, 336], [1, 2, 8, 48], [1, 98, 8, 48]], 'inner_hash': 11, 'inner_nilpotent': True, 'inner_order': 16, 'inner_split': False, 'inner_tex': 'C_2\\times D_4', 'inner_used': [1, 2, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 48], [2, 84]], 'label': '384.5261', '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': True, 'metacyclic': False, 'monomial': True, 'name': '(C2*C12):D8', 'ngens': 8, 'nilpotency_class': 3, 'nilpotent': True, 'normal_counts': [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': 30, 'number_characteristic_subgroups': 52, 'number_conjugacy_classes': 132, 'number_divisions': 56, 'number_normal_subgroups': 136, 'number_subgroup_autclasses': 172, 'number_subgroup_classes': 384, 'number_subgroups': 968, 'old_label': None, 'order': 384, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 39], [3, 2], [4, 56], [6, 78], [8, 32], [12, 112], [24, 64]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [4, 2, 2, 2, 4, 4, 2, 4], 'outer_gen_pows': [0, 96, 144, 0, 0, 96, 1, 96], 'outer_gens': [[217, 338, 232, 360], [221, 102, 8, 52], [221, 266, 40, 240], [313, 30, 40, 168], [221, 290, 232, 148], [101, 146, 232, 52], [197, 174, 40, 72], [121, 146, 232, 244]], 'outer_group': None, 'outer_hash': 6540101142328054263, 'outer_nilpotent': True, 'outer_order': 1024, 'outer_permdeg': 256, 'outer_perms': [837493724351547101502545574128745412291082897509335844260062784143232037150784109381690844158409802463011921792176826167772181612267381483954936259406698045694013901199225270553909137513650633635813184540249915275285426957847708171510188799058135641815215275375074420990759613442094806681999482564611453190228666118845140023748929932097295525097530107019832216419977803427987503846081277198582404911232862286732964411160821954512066687275123138282995435415127352296252844591372153289694345419042934610097279, 94190221143005097942160068501844752854748382989894112678590896760005475400379298770957784855197507003882069361570898554197273486388632373153122437310639808809550793796898363492153651679295727699567694543902890408271675291839529960816890180511345856380308344071055240563213614799582634378815115084757555386255770843126260907599005594258375532723836258800079181065502337681833999758202514933936535136410519333911321111101529267500133157285867999442627861451458876659362934833871931634128846152596656017190322, 76268236113027759443367233204373703079363503897923473599541032915670475947452881993276492165080640445266102996012725411854986596881167114230730132291550281258481292104575781469466710254820523684163882371949734808003772376832402953116264203785058164008748840130722269402444400194695048426094115772650579325666574006886615835367254842650306797834066610863236846916205078545684247453738280528946241041467335318904331367509190675702896568052644919051123537932293577348569002722111488744227831267476766960399083, 302016057763972512686411034230743694267371314326275834207272985612651298388569769021514292029497826339071986832326975707017233146499018847616798371335459714791509834259030736771870168207594121361175729727210984314798322586173515067306393285362038232771292363669151273980697706463694490264616322340133813724669358412015089303233417986051144953933588531153602090444883418525081130920862342597690409386505113790484938697524740362157434640820016914832118884119505919366032574722766617538833375189749705289874501, 315472329013983314067818894014327668715989280434111991389049056773256586959714951809943956930312582379142281490121085178557788590622691922970684115750461866307996963020887307237392853442544565669535194925468171298337496224180623893185714984346295237349218597244915605283170980980326631442874282782480676801790922063482170353748905954263413114914536824202309257351342869177060749287122623645616137810122321102026595461492719159894982616317790663039928377750691885051803909619903169981970588498749868381714048, 759856122582596733712561662064272149241332674644559570137325439447048805065266892231734771856775558960306832826915747924791682268990694846492602191741295374094808990865554574942961106381159149405516638372459753946870959929682931445478999311918639799962923215697110659721186404347601554338079095274274137464926169467723080968835460061244030151862712448769577124141748161497057670594924678309987501214072834897259948229731644084092723838020219311094821181313536067235379210013950690819077617819881324144347826, 381586974156116812288339001604110375779621747182125572820994513352712814738155633248004556687470367457871834856133461793948393343560042523365253320276381087543706176144064305665555373154282357448856913731579541671852175371404395486202817687581082614895290537942653935997778159022084408501997445080582206901761145620752289883207602714171163081690629135808991998257587587188660561300275352146978706720813811408763221243940839099275333895805566494153308261174408572625208198040912445332322718770217615636042890, 222664916712755047715804121010306933220202617591863559107675526910086513185121488894837701701480519089572574908125246995256611031881943236464544266018868689400574715372495348404956561063295430043298969724610335897728433908295344278545203908679471803366150586901544059594975383090443341167525197409906610544547741399510588687274297135956702700569684981768754099904031207882716842821788226098341660934114434394862883002528899929360117966525084538765002531844145288808572915259701572875585698371140941680593178], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^5.C_2^5', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 19, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 20], [4, 18], [8, 8], [16, 2]], 'representations': {'PC': {'code': 10916675599014878347667710208776, 'gens': [1, 2, 4, 6], 'pres': [8, -2, -2, -2, -2, -3, -2, -2, -2, 2528, 5025, 41, 91, 8077, 141, 8078, 166]}, 'GLZN': {'d': 2, 'p': 28, 'gens': [22149, 329295, 548825, 28573, 155757, 22345, 562037, 285389]}, 'Perm': {'d': 19, 'gens': [7870992136167864, 14274673521350640, 21090446207006400, 4, 26344408312138584, 15408984, 34256099758003200, 20091600]}}, 'schur_multiplier': [2, 2, 2, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 12], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '(C_2\\times C_{12}):D_8', 'transitive_degree': 192, 'wreath_data': None, 'wreath_product': False}