Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '64.192', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 20, 'aut_gen_orders': [10, 4, 4, 4, 20, 4, 4, 20], 'aut_gens': [[152219, 108229, 8091, 8201, 136017], [152219, 108309, 8291, 8201, 56007], [152219, 12183, 8171, 8201, 24203], [152019, 108269, 88361, 8201, 56007], [88211, 156077, 8171, 8201, 24203], [152019, 108349, 72139, 8201, 56207], [152019, 108359, 88361, 8201, 104213], [152219, 140341, 8171, 8201, 136217], [88011, 12223, 152329, 8201, 56207]], 'aut_group': None, 'aut_hash': 5025421889443470508, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 163840, 'aut_permdeg': 160, 'aut_perms': 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174799800248335179670550156117490755779876300825428708230349204288511986287390239979869709763601936236553863220787187487860314395723433012661509780626997559441617907906749367697568760623890304523905193445811713975245201967451684977351426982228618169126879490797576745159947775553226383, 300882099767205312483772552192901936842085417636359792993209143308180418585858949954982277287523024331566693839135538038372197165523970257094857777551842378734587800790533046046104937217909788269423567025490325818466478449835700534482922434242757907457746935600726372853018904684799862, 297858610644009162855726701936478527047166737872618663896035193898107881131894108445185413048265653391825549329503788899845258625787742236724696373534707972986789551944019480988459917366554183593911914529335215622634169116125312814025066603069061501830135106674496098002697504249013068, 142342752614578999475399298543504716228142012502010756048253176243886344117025735643757239293916374495829514308661732893452358717765518517567377184276108928710075069131329193803339200530114578704748741247316697779624318641547150712311038678131196439276930568536697964100145637818202816, 253163522926880757617448174322904078430897902182075530080587276714773360177347426085283752674624356936452839201727600676627244265755032820446752176935993079975144544548683925671997267434218796929531171446706160613045658422094791916676593431823297935543836824110901861393363062962336190], 'aut_phi_ratio': 640.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 1, 4, 1], [2, 2, 4, 1], [2, 5, 4, 2], [2, 10, 4, 1], [4, 1, 8, 1], [4, 2, 4, 1], [4, 5, 8, 1], [4, 10, 4, 1], [4, 10, 16, 2], [5, 4, 1, 1], [10, 4, 1, 3], [10, 4, 4, 1], [10, 4, 8, 1], [20, 4, 8, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_5:(C_2^9.C_2^6)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': None, 'autcent_hash': 3229352106809273273, 'autcent_nilpotent': True, 'autcent_order': 4096, 'autcent_solvable': True, 'autcent_split': None, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^9.C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 20, 'autcentquo_group': None, 'autcentquo_hash': 12, 'autcentquo_nilpotent': False, 'autcentquo_order': 40, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times F_5', 'cc_stats': [[1, 1, 1], [2, 1, 7], [2, 2, 4], [2, 5, 8], [2, 10, 4], [4, 1, 8], [4, 2, 4], [4, 5, 8], [4, 10, 36], [5, 4, 1], [10, 4, 15], [20, 4, 16]], 'center_label': '16.10', 'center_order': 16, 'central_product': True, 'central_quotient': '40.12', 'commutator_count': 1, 'commutator_label': '10.2', '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', '5.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 19559, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['4.1', 1], ['80.34', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [2, 2, 1, 4], [2, 5, 1, 8], [2, 10, 1, 4], [4, 1, 2, 4], [4, 2, 2, 2], [4, 5, 2, 4], [4, 10, 2, 18], [5, 4, 1, 1], [10, 4, 1, 7], [10, 4, 2, 4], [20, 4, 2, 4], [20, 4, 4, 2]], 'element_repr_type': 'GLZN', 'elementary': 1, 'eulerian_function': 312480, 'exponent': 20, 'exponents_of_order': [7, 1], 'factors_of_aut_order': [2, 5], 'factors_of_order': [2, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '160.236', 'hash': 19559, 'hyperelementary': 2, 'id': 542671, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 20, 'inner_gen_orders': [1, 4, 10, 1, 1], 'inner_gens': [[152219, 108229, 8091, 8201, 136017], [152219, 108229, 8371, 8201, 136017], [152219, 108109, 8091, 8201, 136017], [152219, 108229, 8091, 8201, 136017], [152219, 108229, 8091, 8201, 136017]], 'inner_hash': 12, 'inner_nilpotent': False, 'inner_order': 40, 'inner_split': False, 'inner_tex': 'C_2\\times F_5', 'inner_used': [2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 64], [2, 16], [4, 32]], 'label': '640.19559', '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*D10:C4^2', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 23, 'number_characteristic_subgroups': 34, 'number_conjugacy_classes': 112, 'number_divisions': 70, 'number_normal_subgroups': 386, 'number_subgroup_autclasses': 264, 'number_subgroup_classes': 1360, 'number_subgroups': 5648, 'old_label': None, 'order': 640, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 95], [4, 416], [5, 4], [10, 60], [20, 64]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 4, 2, 4, 4, 4], 'outer_gen_pows': [8241, 152211, 8001, 152291, 8241, 8001, 8001], 'outer_gens': [[88211, 108149, 72139, 8201, 104013], [152019, 92223, 8051, 8201, 104213], [152219, 92353, 88321, 8201, 104213], [152019, 92263, 72179, 8201, 104213], [88211, 156357, 152329, 8201, 56007], [152219, 156067, 152289, 8201, 24203], [152219, 108279, 152249, 8201, 104213]], 'outer_group': None, 'outer_hash': 2880773164308525452, 'outer_nilpotent': True, 'outer_order': 4096, 'outer_permdeg': 128, 'outer_perms': [370330776721537703878239617252531441751066988431917359186582452389067827996079976229336994662040974884544310019853605150124609883437654949087505593163366642766803675997282447259106811154463648189337016436722772430700, 113965873174290029626167356063600886089705285889761091593965369837144799015739836760285147092723942366991675108552100303732365387571320522732265908129236269603748873953610525635447441067031199482379627151907738392800, 70318217344957534769449925246978166795739774119744587496993266701635967095965324233031947890636595103661659823676625675258470242580351715864391712978645633763807213668925635726823679075468990965155449115233011319653, 77392348843766491284576175132089909602632926544393842422512215024985559892788546524427739800282253976173672971860522120859146898177356803574430093374064601514994616297196884629506668892171173702963373620031857557819, 131737408150539892703817086497091936707425563660084437682079180463370919927017402951731226190175780638775367826552737783845027736779231900800682690465792195215447020912532107008352638466977422340840389082942908611043, 124603360360083483703240152647176780777153531199507289753086635920315384853820081512109020973530993497424558902114980839196215414421608365018885582423246509527891767174085158729475525724215908147008900105756971337587, 119702397603403891302548428790993081693469212360877980770321730190650780900142589232018758661987385540512945718869258109087529909259650343784697762649506751292449005826679315183831232767355506879780568909554734753967], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^6.C_2^6', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4, 4], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 32], [4, 12], [8, 8], [16, 2]], 'representations': {'PC': {'code': '3721560281945440224595116458377408', 'gens': [1, 2, 4, 6, 7], 'pres': [8, -2, -2, -2, -2, -5, -2, -2, -2, 41, 2187, 595, 91, 652, 660, 166]}, 'GLZN': {'d': 2, 'p': 20, 'gens': [8009, 136017, 60159, 8201, 72009, 24213, 8081, 24003]}, 'Perm': {'d': 15, 'gens': [5169, 6745949416, 362889, 379576, 16680, 16, 13412061480, 94363315200]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 4, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2\\times D_{10}:C_4^2', 'transitive_degree': 160, 'wreath_data': None, 'wreath_product': False}