Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.10', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[479908804524335552678681853619890572897438728370, 523376275566089973203773670003847480364349652576, 815364726432135254962900988820260040422125564290], [335469696594274642649474825090463225033906900503, 648477310385339896896652207396776594600576775596, 773536308794571602465929258872387527193325564200], [419251572084603960725409715640208911243934318733, 584584057538725488268965160616818583257081480395, 1596968255237236559915529939210096901062035760], [439126803837420627051207426855117758541989569984, 523376276442833708185323545787746132412725318433, 1596968255237209119963920237378209483040006490], [459510550762147640226865097606785581617240891626, 564695434312693822395947608526649975625902113366, 733277331584508626753595397319261181692366255455], [481463735770932016596718130411793374305141171223, 524422693966071599572884680874301864312270204093, 754707494565773962442568998804784852710125564290], [480954476879972223037053914122095822272603262810, 543802057728570716481465606873557146420962559223, 775105749222072279250564565618404086993172937039], [480445591207229700943529842651156842099508474906, 524973243499773085582978513876408817769414343046, 733773198107345481528339861860648450994925564290], [501338968399711266513925441037768012938851578196, 604967804463452438648110714193305528913360315616, 754707494565773962442568998804784852523833858690], [461079990295537920582418553457334851506265542413, 565245613346344249816214273881179922665728682816, 733773198107345481528339861860648450902478255490], [500843100713581178251800009940002175076697400909, 565245612469600505676725028001486508401779967296, 733773198715703993603270885003686029914205569160], [479908804255152723579746248504222863237422267629, 586138990234654833991798429084639096782880696896, 733773197803955635700927137918553644544750380744], [479908804828506568177434897307416096481550150450, 544311316011172033920437742946880183657502993210, 815364726432135254962900988820260040422124929250], [500843101286935058249606533514641653276974267533, 544311316280354880103606224308175072066962138880, 794471349239653663182593331815420230578925564296], [479908804828506577335377396570863449724656827533, 544311316011172033920437742946880183563657946880, 794471349239653663182593331815420230578925564296], [479908804524335552678681853620018955136191496429, 523376275566089973203773670003847480432846881370, 733773198107345481528339861860648450994925564264], [479908803950965236161509473463064043140296097363, 523376275835272819386942798738239764348052186913, 773536309098742636279760718163581385257709564200], [440144949277085526263543936038306291979283172333, 523376276747021178519327444584226078195446834464, 773536309098742627122624801822873823687405171113], [500843100982764024434968491301194583941423326029, 586138990234654798624750454125702854617928549696, 794471349239653663182593331815420230647422793090], [585629731075309764813308814826712970663772185690, 501338968096321428298637186814010914081658468364, 754707494565773962442568998805168994852253308290], [459510550762147622859118324189021592957182350770, 564695434312693813565074484237487997091638874976, 815364726432135254962900988820260040329678255490], [461079990599708919029201393737048114923609926509, 544311316887915750586906721333606006595852561120, 773536308794571602465926697223657919172884301976]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 3200000000, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 1250, 1, 1], [2, 2500, 1, 1], [2, 10000, 1, 3], [2, 20000, 1, 1], [2, 390625, 1, 1], [4, 2500, 1, 1], [4, 125000, 1, 1], [4, 250000, 4, 1], [4, 500000, 1, 1], [4, 781250, 2, 1], [4, 1562500, 1, 2], [4, 6250000, 1, 1], [5, 16, 4, 1], [5, 32, 1, 1], [5, 32, 2, 1], [5, 32, 4, 3], [5, 64, 1, 1], [5, 64, 2, 1], [5, 64, 4, 3], [5, 128, 2, 2], [5, 128, 4, 1], [5, 256, 2, 2], [5, 256, 4, 21], [5, 256, 8, 11], [5, 512, 2, 3], [5, 512, 4, 30], [5, 512, 8, 44], [5, 512, 16, 12], [8, 5000, 1, 1], [8, 250000, 1, 1], [8, 3125000, 1, 1], [8, 3125000, 2, 3], [8, 6250000, 1, 1], [8, 6250000, 4, 1], [10, 10000, 4, 1], [10, 20000, 1, 1], [10, 20000, 2, 1], [10, 20000, 4, 4], [10, 40000, 1, 2], [10, 40000, 2, 1], [10, 40000, 4, 8], [10, 80000, 2, 6], [10, 80000, 4, 8], [10, 160000, 2, 2], [10, 160000, 4, 21], [10, 160000, 8, 11], [16, 12500000, 4, 1], [20, 20000, 2, 1], [20, 20000, 4, 1], [20, 40000, 2, 2], [20, 40000, 4, 4], [20, 40000, 8, 2], [20, 500000, 4, 1], [20, 1000000, 1, 1], [20, 1000000, 4, 1], [20, 1000000, 16, 1], [20, 2000000, 4, 2], [40, 40000, 2, 1], [40, 40000, 4, 3], [40, 40000, 8, 4], [40, 40000, 16, 2], [40, 1000000, 2, 1], [40, 1000000, 4, 1]], 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 1250, 1], [2, 2500, 1], [2, 10000, 3], [2, 20000, 1], [2, 390625, 1], [4, 2500, 1], [4, 125000, 1], [4, 250000, 4], [4, 500000, 1], [4, 781250, 2], [4, 1562500, 2], [4, 6250000, 1], [5, 16, 4], [5, 32, 15], [5, 64, 15], [5, 128, 8], [5, 256, 176], [5, 512, 670], [8, 5000, 1], [8, 250000, 1], [8, 3125000, 7], [8, 6250000, 5], [10, 10000, 4], [10, 20000, 19], [10, 40000, 36], [10, 80000, 44], [10, 160000, 176], [16, 12500000, 4], [20, 20000, 6], [20, 40000, 36], [20, 500000, 4], [20, 1000000, 21], [20, 2000000, 8], [40, 40000, 78], [40, 1000000, 6]], 'center_label': '1.1', 'center_order': 1, 'central_product': None, 'central_quotient': '200000000.dic', 'commutator_count': 1, 'commutator_label': None, 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '5.1', '5.1', '5.1', '5.1', '5.1', '5.1', '5.1', '5.1'], 'composition_length': 17, 'conjugacy_classes_known': False, 'counter': 2239, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': None, 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1250, 1, 1], [2, 2500, 1, 1], [2, 10000, 1, 3], [2, 20000, 1, 1], [2, 390625, 1, 1], [4, 2500, 1, 1], [4, 125000, 1, 1], [4, 250000, 2, 2], [4, 500000, 1, 1], [4, 781250, 1, 2], [4, 1562500, 1, 2], [4, 6250000, 1, 1], [5, 16, 2, 2], [5, 32, 1, 3], [5, 32, 2, 6], [5, 64, 1, 3], [5, 64, 2, 6], [5, 128, 1, 4], [5, 128, 2, 2], [5, 256, 1, 4], [5, 256, 2, 86], [5, 512, 1, 22], [5, 512, 2, 324], [8, 5000, 1, 1], [8, 250000, 1, 1], [8, 3125000, 1, 7], [8, 6250000, 1, 1], [8, 6250000, 2, 2], [10, 10000, 2, 2], [10, 20000, 1, 3], [10, 20000, 2, 8], [10, 40000, 1, 4], [10, 40000, 2, 16], [10, 80000, 1, 12], [10, 80000, 2, 16], [10, 160000, 1, 4], [10, 160000, 2, 86], [16, 12500000, 2, 2], [20, 20000, 2, 3], [20, 40000, 1, 2], [20, 40000, 2, 9], [20, 40000, 4, 4], [20, 500000, 2, 2], [20, 1000000, 1, 1], [20, 1000000, 2, 2], [20, 1000000, 4, 4], [20, 2000000, 2, 4], [40, 40000, 2, 5], [40, 40000, 4, 9], [40, 40000, 8, 4], [40, 1000000, 2, 3]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 80, 'exponents_of_order': [9, 8], 'factors_of_aut_order': [2, 5], 'factors_of_order': [2, 5], 'faithful_reps': [[16, 1, 32], [32, 0, 4], [32, 1, 68], [64, 0, 92], [64, 1, 76], [128, 0, 4], [128, 1, 28], [256, 1, 352], [512, 1, 670]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '200000000.dic', 'hash': 3543204675378884009, 'hyperelementary': 1, 'id': 385731, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': None, 'inner_gens': None, 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': 200000000, 'inner_split': None, 'inner_tex': 'C_5^8.C_4.C_4^2.D_4', 'inner_used': None, 'irrC_degree': 16, 'irrQ_degree': 32, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 16], [2, 12], [4, 4], [8, 6], [16, 32], [32, 72], [64, 168], [128, 32], [256, 352], [512, 670]], 'label': '200000000.dic', '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': 'C5^8.C4.C4^2.D4', 'ngens': 3, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 7, 0, 0, 11, 0, 15, 0, 11, 7, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 256, 'number_characteristic_subgroups': 39, 'number_conjugacy_classes': 1364, 'number_divisions': 697, 'number_normal_subgroups': 61, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 200000000, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 444375], [4, 12565000], [5, 390624], [8, 53380000], [10, 33540000], [16, 50000000], [20, 40560000], [40, 9120000]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': False, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': '16.10', 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 16, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': 'C_2^2\\times C_4', 'pc_rank': None, 'perfect': False, 'permutation_degree': 40, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 8], [2, 12], [4, 6], [8, 6], [32, 28], [64, 38], [128, 42], [256, 35], [512, 198], [1024, 324]], 'representations': {'PC': {'code': '59678789861144143587249459458831923917789509172952880013475098840434571568681038806090311725112351100596384322587228349349307404175865104657795305212310410912158154275470228066257405969259980711721313546055858975859405142127825402822808634953288943146275920713601907558920515910526484883929534581394829077742983532599237922669532781184179456331172966100688217694940176909928936741525081013580029996912353099662320781599620550820509474875565175417055906291189223497192956284010292258106052640216847991406782097987267109065089960052888785947063199453522936869711304594857075280389942482991910019282784589498499538009977075719902456169543572661642126246086327355761643402583958754143938226117470083143886835226022101908443626458406239159568579021656976855789682175409495840179707565939013909946345623867044861584365844453747372496143034775324651132581693961843226448357118375064742825540536905789120835814590307941012799487', 'gens': [1, 3, 4, 5, 8, 11, 12, 13, 14, 15, 16, 17], 'pres': [17, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 34, 305967922, 5918, 730150393, 1915765260, 7735800227, 1655286756, 235663693, 360937526, 13672448564, 416141661, 3281366218, 2010494685, 242, 6342666821, 4382300278, 4258032471, 1941030272, 294, 15099001798, 7882411511, 1963147800, 2635593969, 4567602439, 1631939096, 33723689, 805161402, 1634990987, 493717628, 333202557, 398, 25488076616, 2148031897, 51398250, 3408884123, 998169628, 353453349, 400865618, 450, 29865600009, 61276186, 15645483, 43580, 3911437, 49338174, 5551, 10796859402, 1639472411, 1192276140, 3942067773, 290589102, 99137023, 30032, 47221369, 6780766, 21583448075, 1760784412, 58203693, 1929742142, 2382799, 979296, 163313, 12770530, 25510347, 70720012, 1026118941, 937718958, 23450815, 340382512, 1326097, 884114, 2210102285, 2894080030, 218960064, 257040081, 4760098, 4760115, 1785132, 1190149, 391694, 13749600031, 132600065, 2259300082, 43350099, 25500116, 8287633, 6375150, 6720323599, 4526080032, 2197760049, 4058240066, 152320083, 136000100, 136000117, 51000134, 34000151, 4733940240, 21732800033, 11999280050, 1572160067, 1820700084, 1228250101, 722500118, 234812635, 180625152]}, 'Perm': {'d': 40, 'gens': [479908804524335552678681853619890572897438728370, 523376275566089973203773670003847480364349652576, 815364726432135254962900988820260040422125564290]}}, 'schur_multiplier': None, 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 4], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 320, 'supersolvable': False, 'sylow_subgroups_known': False, 'tex_name': 'C_5^8.C_4.C_4^2.D_4', 'transitive_degree': 40, 'wreath_data': None, 'wreath_product': False}