Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 216, 'aut_gen_orders': [24, 54], 'aut_gens': [[1, 2, 36, 648, 5832], [8480, 17295, 5837, 40856, 360], [47630, 21436, 49403, 1296, 5852]], 'aut_group': '204073344.zl', 'aut_hash': 7710257770265084360, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 204073344, 'aut_permdeg': 486, 'aut_perms': [21019473593195848352411645295143274211155381617618098241074296645297948478109158982348508198658790580787284667326760529335586606469082324867115414264417441707670340197571927311788562350495510999451899843345319365411209272286035285571754497759037159834654715500424382997816429482927550978296119163318879597993846621195474194669253206220324256126618979392092580104324781036518481117454295178486904920252995133644505244629930893794344142916739884151294349265102804996286457360674511992706428756093136889727609977041038143148219243033137036361412499979946094610199319065766035406120929460115395691324447724746599010258987742849920869359428285742801328603331859820539640170879786632255107447924924876359764880608330310649103246406706556530090149690429222396356779682920832418584256975040256057586614199390584811798748274701571032400721638490020756455805693799336149324932770537838462537339073605632163240312248738575807059049165495679828366560812892630950290216214308785540160591432933894241188985484347064509633397822640364303909607728767259212821235693892921490236259887902187147272102773377524841559, 15300893862662912851364300288942479222388703044417461438816187596692562784439112775702365434286467733685852211649569797700736329646815449677729768094550792376210226076277384802973572018580307160761151190137884197087790780789331781234996667572705310945245909377489169732822523443611122081178196948999960745804084782025769890461374388175303705710026435619340835360746512197671349241218960324613188437575815620126948561820994792618074966649648259050390263099778817461750759787467871678110240789118341767674243277844878879305388630211837537213868687176851498271702227304633581216010048789272211280205607125386748020182870437612359744338155875188198793495731527644764070584155751612382865198981093654510059072126712886539838307338786616849366507457365612866659071672993774231646585386435447177588443447503749013590269487410300528399980006704312655677559197316586995495158967886650042029284821329610904841247784368154781152166849662993698998058782531749274047009426189300538467141447632923320544114752637644830651163053194444409315137425097833632827473991374996154003480606491897726050955439876074564715], 'aut_phi_ratio': 11664.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 81, 6, 1], [2, 6561, 1, 1], [3, 2, 4, 1], [3, 4, 6, 1], [3, 8, 2, 1], [3, 8, 4, 1], [6, 162, 12, 1], [6, 324, 6, 1], [9, 2, 12, 1], [9, 4, 36, 1], [9, 4, 54, 1], [9, 8, 24, 1], [9, 8, 36, 1], [9, 8, 108, 3], [9, 8, 162, 1], [9, 8, 216, 1], [18, 162, 36, 1], [18, 324, 36, 1], [18, 324, 54, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_9^4.C_6\\wr S_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': 216, 'autcentquo_group': '204073344.zl', 'autcentquo_hash': 7710257770265084360, 'autcentquo_nilpotent': False, 'autcentquo_order': 204073344, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_9^4.C_6\\wr S_4', 'cc_stats': [[1, 1, 1], [2, 81, 6], [2, 6561, 1], [3, 2, 4], [3, 4, 6], [3, 8, 6], [6, 162, 12], [6, 324, 6], [9, 2, 12], [9, 4, 90], [9, 8, 762], [18, 162, 36], [18, 324, 90]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '52488.rj', 'commutator_count': 1, 'commutator_label': '6561.261687', 'complements_known': True, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 11, 'conjugacy_classes_known': True, 'counter': 452, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 81, 1, 6], [2, 6561, 1, 1], [3, 2, 1, 4], [3, 4, 1, 6], [3, 8, 1, 6], [6, 162, 1, 12], [6, 324, 1, 6], [9, 2, 3, 4], [9, 4, 3, 30], [9, 8, 3, 254], [18, 162, 3, 12], [18, 324, 3, 30]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 145152, 'exponent': 18, 'exponents_of_order': [8, 3], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[8, 1, 162]], 'familial': False, 'frattini_label': '81.15', 'frattini_quotient': '648.734', 'hash': 1215465136593411310, 'hyperelementary': 1, 'id': 475460, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [18, 18, 18, 9, 9], 'inner_gens': [[1, 46330, 17460, 648, 5832], [12677, 2, 44028, 5184, 5832], [41545, 14978, 36, 5184, 46656], [1, 1298, 1332, 648, 5832], [1, 2, 11700, 648, 5832]], 'inner_hash': 1215465136593411310, 'inner_nilpotent': False, 'inner_order': 52488, 'inner_split': False, 'inner_tex': 'C_9:D_9^3', 'inner_used': [1, 2, 3], 'irrC_degree': 8, 'irrQ_degree': 24, 'irrQ_dim': 24, 'irrR_degree': None, 'irrep_stats': [[1, 8], [2, 64], [4, 192], [8, 768]], 'label': '52488.rj', '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': 'C9:D9^3', 'ngens': 11, '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, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 22, 'number_characteristic_subgroups': 5, 'number_conjugacy_classes': 1032, 'number_divisions': 372, 'number_normal_subgroups': 152, 'number_subgroup_autclasses': 530, 'number_subgroup_classes': 15960, 'number_subgroups': 3669176, 'old_label': None, 'order': 52488, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 7047], [3, 80], [6, 3888], [9, 6480], [18, 34992]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 36, 'outer_gen_orders': [6, 6, 12], 'outer_gen_pows': [1638, 0, 8605], 'outer_gens': [[19207, 13388, 33714, 648, 576], [27667, 46708, 2286, 46656, 288], [35612, 23806, 38737, 72, 23336]], 'outer_group': '3888.cf', 'outer_hash': 6764820983410184575, 'outer_nilpotent': False, 'outer_order': 3888, 'outer_permdeg': 14, 'outer_perms': [6724257150, 40882836961, 28478944128], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2\\times C_3\\wr S_4', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 36, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 16], [4, 12], [6, 16], [8, 6], [12, 60], [24, 254]], 'representations': {'PC': {'code': '275233700972616259075942124593869257157422017861472086482808460610160246385404658301726151531048623107020127651283691298226838026687', 'gens': [1, 2, 5, 8, 10], 'pres': [11, -2, -2, -3, -3, -2, -3, -3, -3, -3, -3, -3, 185328, 1019261, 56, 963338, 123, 1540707, 960304, 1210785, 401471, 160582, 158, 38021, 19024, 258, 33270, 16649, 228114, 12723, 348, 192475, 10744, 142613, 438, 117666]}, 'Perm': {'d': 36, 'gens': [159854716867931634075776964011087904878642, 371691303746582609627164319036204048971918, 170184876742865277218072650989605840098293]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_9:D_9^3', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}