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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '32.36', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 24, 'aut_gen_orders': [2, 4, 4, 4, 8, 24, 12, 12, 12, 8, 12], 'aut_gens': [[1, 2, 16, 32], [1349, 222, 16, 800], [1153, 1154, 16, 176], [1293, 1158, 784, 1512], [385, 10, 16, 1184], [21, 210, 784, 1384], [525, 986, 784, 1000], [325, 222, 784, 40], [473, 202, 784, 232], [1425, 982, 784, 440], [453, 794, 16, 160], [533, 774, 784, 616]], 'aut_group': None, 'aut_hash': 4072702346274684291, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 49152, 'aut_permdeg': 112, 'aut_perms': [35282538380668457301359147336491636369785974166548549798424761844917286540419138113332919007914104268181985028104350281485158699939239751520704259601288147932032306682044699451845942, 43267328183471402879669543964938307722394554471474508397424456141379046310911327839247952077859994651284121439603190261610029950674147334012419350336639660966662854395482185493996032, 193262064503053604209938104751680994178872531873872002269065876152670659949620053183118745740386248888910168128591662428602617153374268063674797365913960311745436431469066138890044192, 57780148058590697417647683966791543202983046044366703358780266556189910521090923409331477462173144116087187151327915205107935953482458644042298669237115367729262802429308759041478471, 90151907709674081243140283427424023999041784269269884797892632005748449884503976222345567195673448994677216863801136906111200663517778909651545896330983083164442106180753553743729206, 10279425075909427758490662897773079216430865299624288571205320173238152403109164195384082662713206787977554771673492641640998161035466135660944916454831645116202371043128018655816250, 98197774431372822593967602479081939913815940801203646312108792373727114541407959958943202827362889281334364865518661141244842657381515849827687758816763850253119435603026162682070329, 163287936603159520195870028562931130467594953288809968355729178527883730593534564818934054701703479119666036219324600980371613413765901267199939990521035800548274283194527760790994753, 141489165295385462381561768835314044042838283311702732827769843179949587886183251204465978007773768375695895567317842341562876190659790962914991459083772928848087662638390492654790343, 91263582129803683881244258785240941264934260910484676884198183491306325987592002603501486984861131755395302149514919709135665355981276986362856109422307117669960922105882934113746796, 192404336908860342454818380582855278834486058527560483436860195818835474639454101846729160701715116323808205064174567417639972897734756348360571994953427127143768780441749978050121192], 'aut_phi_ratio': 96.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 2, 1, 2], [2, 48, 1, 1], [3, 2, 1, 1], [4, 1, 2, 2], [4, 2, 1, 2], [4, 2, 4, 2], [4, 48, 1, 1], [4, 48, 2, 1], [6, 2, 1, 1], [6, 2, 2, 3], [8, 1, 4, 2], [8, 2, 2, 6], [8, 2, 32, 1], [8, 48, 2, 2], [12, 2, 2, 4], [12, 2, 8, 2], [16, 2, 16, 4], [16, 48, 4, 2], [24, 2, 4, 8], [24, 2, 64, 1], [48, 2, 32, 4]], 'aut_supersolvable': True, 'aut_tex': 'C_3:(C_2^2.C_2^6.C_2^6)', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '256.56082', 'autcent_hash': 56082, 'autcent_nilpotent': True, 'autcent_order': 256, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^6\\times C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '192.1514', 'autcentquo_hash': 1514, 'autcentquo_nilpotent': False, 'autcentquo_order': 192, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_{12}:C_2^4', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [2, 48, 1], [3, 2, 1], [4, 1, 4], [4, 2, 10], [4, 48, 3], [6, 2, 7], [8, 1, 8], [8, 2, 44], [8, 48, 4], [12, 2, 24], [16, 2, 64], [16, 48, 8], [24, 2, 96], [48, 2, 128]], 'center_label': '16.5', 'center_order': 16, 'central_product': False, 'central_quotient': '96.110', 'commutator_count': 1, 'commutator_label': '48.23', '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', '2.1', '2.1', '3.1'], 'composition_length': 10, 'conjugacy_classes_known': True, 'counter': 10766179, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [2, 48, 1, 1], [3, 2, 1, 1], [4, 1, 2, 2], [4, 2, 1, 2], [4, 2, 2, 4], [4, 48, 1, 3], [6, 2, 1, 3], [6, 2, 2, 2], [8, 1, 4, 2], [8, 2, 2, 6], [8, 2, 4, 8], [8, 48, 2, 2], [12, 2, 2, 4], [12, 2, 4, 4], [16, 2, 8, 8], [16, 48, 4, 2], [24, 2, 4, 8], [24, 2, 8, 8], [48, 2, 16, 8]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 21504, 'exponent': 48, 'exponents_of_order': [9, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '64.83', 'frattini_quotient': '24.14', 'hash': 10766179, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 24, 'inner_gen_orders': [2, 8, 1, 6], 'inner_gens': [[1, 974, 16, 560], [581, 2, 16, 32], [1, 2, 16, 32], [1041, 2, 16, 32]], 'inner_hash': 110, 'inner_nilpotent': False, 'inner_order': 96, 'inner_split': None, 'inner_tex': 'C_2\\times D_{24}', 'inner_used': [1, 2, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 32], [2, 376]], 'label': '1536.10766179', '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*C16).D24', 'ngens': 10, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 55, 'number_characteristic_subgroups': 131, 'number_conjugacy_classes': 408, 'number_divisions': 84, 'number_normal_subgroups': 161, 'number_subgroup_autclasses': 440, 'number_subgroup_classes': 538, 'number_subgroups': 2234, 'old_label': None, 'order': 1536, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 55], [3, 2], [4, 168], [6, 14], [8, 288], [12, 48], [16, 512], [24, 192], [48, 256]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [4, 4, 4, 4, 4, 4, 4, 4], 'outer_gen_pows': [1032, 1032, 8, 0, 0, 0, 1032, 1024], 'outer_gens': [[733, 2, 784, 824], [325, 1178, 16, 48], [269, 594, 784, 1512], [1409, 1154, 784, 184], [1417, 990, 784, 552], [1101, 590, 16, 928], [325, 1178, 16, 48], [325, 222, 784, 40]], 'outer_group': '512.10493095', 'outer_hash': 6090485185678436248, 'outer_nilpotent': True, 'outer_order': 512, 'outer_permdeg': 128, 'outer_perms': [357114946107248561278594867683203306520271286292039216698874178701871875594060160289185600765978610756166869562409450030790238141527820686446988888850315624593268216174538487492158572800999221449817088287718647015429, 295473191041033428406551301984146808921856181134162854266782610872803054865840898929125189035070710963276375349715482095372141461465142732562014118755327796586984837103996913907707591488725429956926879115419160423548, 313072471094956548401903512105218307000738680490889713416191158527462236635342090481265249926693980767674201141541230974350621115625736889312252050729320595690700949178650119641886447124582685333301662581190331726681, 12374317715081418769248747198911430897698327798077091476973165058638310622538148649401991595244334183688904368682032332936519225354686610928458328118465962439616149414352645918233263616601358140172959857307841085066, 216365287001684296270780666349196760226937788095835568347680669252423143751138352009984609521751328917257293467311429336499095315274541010758856316606353544826905274510800808104909465298809097808725330944111443985090, 195190738665245318053860298337477452635002249957703692815540853617134619850630078338314901553888908644490123360982215470876581604892988430531636519503243683787827495511201355962219931894288290186726823262505610130461, 295473191041033428406551301984146808921856181134162854266782610872803054865840898929125189035070710963276375349715482095372141461465142732562014118755327796586984837103996913907707591488725429956926879115419160423548, 18436326022554677910218958386590044956931792050429418541441052793120667251422645412925300397860894682851949342342305593952618042389846403609066648825253724994305542219758039373584191671263048512913955385594786538752], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3.C_2^6', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 39, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 8], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 12], [4, 20], [8, 20], [16, 16], [32, 8]], 'representations': {'PC': {'code': '7515572109682409418542953934247070566514542435236567020258434049', 'gens': [1, 2, 5, 6], 'pres': [10, -2, -2, -2, -2, -2, 2, -2, -2, -2, -3, 9600, 19481, 51, 11882, 82, 31043, 33605, 175, 76166, 206, 51207, 237, 115208, 268, 102409]}, 'Perm': {'d': 39, 'gens': [568553198245185592668926237044341106571864425, 1142508515627228489966037607894349568681640080, 1683677055123621834534924619081494913750829064, 2220956930425879810524842533037778542703993600, 2758123892843970031203069840360136999430171280, 2234720683518649569567091420208305637996102400, 3291946184487484550005012448449310226027530880, 3814981435663182197846561489600189604083996160, 1211327281083389705000925733947659476577627520, 3]}}, 'schur_multiplier': [2, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 8], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '(C_2\\times C_{16}).D_{24}', 'transitive_degree': 192, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 50488738
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 10766179, 'group_order': 1536, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
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id: 50488849
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 10766179, 'group_order': 1536, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 16, 'size': 1}
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id: 50488960
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 10766179, 'group_order': 1536, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 784, 'size': 1}
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id: 50489071
{'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 10766179, 'group_order': 1536, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 768, 'size': 1}
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id: 50489091
{'aut_label': '2D', 'centralizer': '2.f1.a1', 'counter': 5, 'group_counter': 10766179, 'group_order': 1536, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 24, 'size': 2}
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id: 50489102
{'aut_label': '2E', 'centralizer': '2.f1.a1', 'counter': 6, 'group_counter': 10766179, 'group_order': 1536, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 8, 'size': 2}
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id: 50489113
{'aut_label': '2F', 'centralizer': '48.q1.a1', 'counter': 7, 'group_counter': 10766179, 'group_order': 1536, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 1347, 'size': 48}
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id: 50489124
{'aut_label': '3A', 'centralizer': '2.f1.a1', 'counter': 8, 'group_counter': 10766179, 'group_order': 1536, 'label': '3A', 'order': 3, 'powers': [8, 1], 'representative': 1024, 'size': 2}
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id: 50489135
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 10766179, 'group_order': 1536, 'label': '4A1', 'order': 4, 'powers': [4, 10], 'representative': 400, 'size': 1}
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id: 50488739
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 10766179, 'group_order': 1536, 'label': '4A-1', 'order': 4, 'powers': [4, 9], 'representative': 1168, 'size': 1}
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id: 50488750
{'aut_label': '4B1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 10766179, 'group_order': 1536, 'label': '4B1', 'order': 4, 'powers': [4, 12], 'representative': 384, 'size': 1}
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id: 50488761
{'aut_label': '4B1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 10766179, 'group_order': 1536, 'label': '4B-1', 'order': 4, 'powers': [4, 11], 'representative': 1152, 'size': 1}
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id: 50488772
{'aut_label': '4C', 'centralizer': '2.f1.a1', 'counter': 13, 'group_counter': 10766179, 'group_order': 1536, 'label': '4C', 'order': 4, 'powers': [4, 13], 'representative': 408, 'size': 2}
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id: 50488783
{'aut_label': '4D', 'centralizer': '2.f1.a1', 'counter': 14, 'group_counter': 10766179, 'group_order': 1536, 'label': '4D', 'order': 4, 'powers': [4, 14], 'representative': 392, 'size': 2}
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id: 50488794
{'aut_label': '4E1', 'centralizer': '2.f1.a1', 'counter': 15, 'group_counter': 10766179, 'group_order': 1536, 'label': '4E1', 'order': 4, 'powers': [6, 16], 'representative': 28, 'size': 2}
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id: 50488805
{'aut_label': '4E1', 'centralizer': '2.f1.a1', 'counter': 16, 'group_counter': 10766179, 'group_order': 1536, 'label': '4E-1', 'order': 4, 'powers': [6, 15], 'representative': 20, 'size': 2}
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id: 50488816
{'aut_label': '4E1', 'centralizer': '2.f1.a1', 'counter': 17, 'group_counter': 10766179, 'group_order': 1536, 'label': '4F1', 'order': 4, 'powers': [6, 18], 'representative': 796, 'size': 2}
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id: 50488827
{'aut_label': '4E1', 'centralizer': '2.f1.a1', 'counter': 18, 'group_counter': 10766179, 'group_order': 1536, 'label': '4F-1', 'order': 4, 'powers': [6, 17], 'representative': 788, 'size': 2}
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id: 50488838
{'aut_label': '4G1', 'centralizer': '2.f1.a1', 'counter': 19, 'group_counter': 10766179, 'group_order': 1536, 'label': '4G1', 'order': 4, 'powers': [6, 20], 'representative': 12, 'size': 2}
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id: 50488850
{'aut_label': '4G1', 'centralizer': '2.f1.a1', 'counter': 20, 'group_counter': 10766179, 'group_order': 1536, 'label': '4G-1', 'order': 4, 'powers': [6, 19], 'representative': 4, 'size': 2}
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id: 50488861
{'aut_label': '4G1', 'centralizer': '2.f1.a1', 'counter': 21, 'group_counter': 10766179, 'group_order': 1536, 'label': '4H1', 'order': 4, 'powers': [6, 22], 'representative': 780, 'size': 2}
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id: 50488872
{'aut_label': '4G1', 'centralizer': '2.f1.a1', 'counter': 22, 'group_counter': 10766179, 'group_order': 1536, 'label': '4H-1', 'order': 4, 'powers': [6, 21], 'representative': 772, 'size': 2}
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id: 50488883
{'aut_label': '4I', 'centralizer': '48.q1.a1', 'counter': 23, 'group_counter': 10766179, 'group_order': 1536, 'label': '4I', 'order': 4, 'powers': [4, 23], 'representative': 791, 'size': 48}
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id: 50488894
{'aut_label': '4J', 'centralizer': '48.u1.a1', 'counter': 24, 'group_counter': 10766179, 'group_order': 1536, 'label': '4J', 'order': 4, 'powers': [3, 24], 'representative': 569, 'size': 48}
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id: 50488905
{'aut_label': '4J', 'centralizer': '48.u1.a1', 'counter': 25, 'group_counter': 10766179, 'group_order': 1536, 'label': '4K', 'order': 4, 'powers': [2, 25], 'representative': 117, 'size': 48}
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id: 50488916
{'aut_label': '6A', 'centralizer': '2.f1.a1', 'counter': 26, 'group_counter': 10766179, 'group_order': 1536, 'label': '6A', 'order': 6, 'powers': [8, 2], 'representative': 528, 'size': 2}
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id: 50488927
{'aut_label': '6A', 'centralizer': '2.f1.a1', 'counter': 27, 'group_counter': 10766179, 'group_order': 1536, 'label': '6B', 'order': 6, 'powers': [8, 3], 'representative': 272, 'size': 2}
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id: 50488938
{'aut_label': '6C', 'centralizer': '2.f1.a1', 'counter': 28, 'group_counter': 10766179, 'group_order': 1536, 'label': '6C', 'order': 6, 'powers': [8, 4], 'representative': 256, 'size': 2}
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id: 50488949
{'aut_label': '6D1', 'centralizer': '2.f1.a1', 'counter': 29, 'group_counter': 10766179, 'group_order': 1536, 'label': '6D1', 'order': 6, 'powers': [8, 5], 'representative': 536, 'size': 2}
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id: 50488961
{'aut_label': '6D1', 'centralizer': '2.f1.a1', 'counter': 30, 'group_counter': 10766179, 'group_order': 1536, 'label': '6D-1', 'order': 6, 'powers': [8, 5], 'representative': 1048, 'size': 2}
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id: 50488972
{'aut_label': '6E1', 'centralizer': '2.f1.a1', 'counter': 31, 'group_counter': 10766179, 'group_order': 1536, 'label': '6E1', 'order': 6, 'powers': [8, 6], 'representative': 1032, 'size': 2}
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id: 50488983
{'aut_label': '6E1', 'centralizer': '2.f1.a1', 'counter': 32, 'group_counter': 10766179, 'group_order': 1536, 'label': '6E-1', 'order': 6, 'powers': [8, 6], 'representative': 520, 'size': 2}
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id: 50488994
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 10766179, 'group_order': 1536, 'label': '8A1', 'order': 8, 'powers': [11, 35], 'representative': 208, 'size': 1}
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id: 50489005
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 10766179, 'group_order': 1536, 'label': '8A-1', 'order': 8, 'powers': [12, 36], 'representative': 1360, 'size': 1}
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id: 50489016
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 10766179, 'group_order': 1536, 'label': '8A3', 'order': 8, 'powers': [12, 33], 'representative': 592, 'size': 1}
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id: 50489027
{'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 10766179, 'group_order': 1536, 'label': '8A-3', 'order': 8, 'powers': [11, 34], 'representative': 976, 'size': 1}
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id: 50489038
{'aut_label': '8B1', 'centralizer': '1.a1.a1', 'counter': 37, 'group_counter': 10766179, 'group_order': 1536, 'label': '8B1', 'order': 8, 'powers': [11, 39], 'representative': 192, 'size': 1}
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id: 50489049
{'aut_label': '8B1', 'centralizer': '1.a1.a1', 'counter': 38, 'group_counter': 10766179, 'group_order': 1536, 'label': '8B-1', 'order': 8, 'powers': [12, 40], 'representative': 1344, 'size': 1}
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id: 50489060
{'aut_label': '8B1', 'centralizer': '1.a1.a1', 'counter': 39, 'group_counter': 10766179, 'group_order': 1536, 'label': '8B3', 'order': 8, 'powers': [12, 37], 'representative': 576, 'size': 1}
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id: 50489072
{'aut_label': '8B1', 'centralizer': '1.a1.a1', 'counter': 40, 'group_counter': 10766179, 'group_order': 1536, 'label': '8B-3', 'order': 8, 'powers': [11, 38], 'representative': 960, 'size': 1}
-
id: 50489082
{'aut_label': '8C1', 'centralizer': '2.f1.a1', 'counter': 41, 'group_counter': 10766179, 'group_order': 1536, 'label': '8C1', 'order': 8, 'powers': [11, 42], 'representative': 216, 'size': 2}
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id: 50489083
{'aut_label': '8C1', 'centralizer': '2.f1.a1', 'counter': 42, 'group_counter': 10766179, 'group_order': 1536, 'label': '8C-1', 'order': 8, 'powers': [12, 41], 'representative': 1368, 'size': 2}
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id: 50489084
{'aut_label': '8D1', 'centralizer': '2.f1.a1', 'counter': 43, 'group_counter': 10766179, 'group_order': 1536, 'label': '8D1', 'order': 8, 'powers': [14, 44], 'representative': 220, 'size': 2}
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id: 50489085
{'aut_label': '8D1', 'centralizer': '2.f1.a1', 'counter': 44, 'group_counter': 10766179, 'group_order': 1536, 'label': '8D3', 'order': 8, 'powers': [14, 43], 'representative': 596, 'size': 2}
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id: 50489086
{'aut_label': '8E1', 'centralizer': '2.f1.a1', 'counter': 45, 'group_counter': 10766179, 'group_order': 1536, 'label': '8E1', 'order': 8, 'powers': [14, 45], 'representative': 212, 'size': 2}
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id: 50489087
{'aut_label': '8E1', 'centralizer': '2.f1.a1', 'counter': 46, 'group_counter': 10766179, 'group_order': 1536, 'label': '8E-1', 'order': 8, 'powers': [14, 46], 'representative': 1372, 'size': 2}
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id: 50489088
{'aut_label': '8F1', 'centralizer': '2.f1.a1', 'counter': 47, 'group_counter': 10766179, 'group_order': 1536, 'label': '8F1', 'order': 8, 'powers': [11, 48], 'representative': 200, 'size': 2}
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id: 50489089
{'aut_label': '8F1', 'centralizer': '2.f1.a1', 'counter': 48, 'group_counter': 10766179, 'group_order': 1536, 'label': '8F-1', 'order': 8, 'powers': [12, 47], 'representative': 1352, 'size': 2}
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id: 50489090
{'aut_label': '8G1', 'centralizer': '2.f1.a1', 'counter': 49, 'group_counter': 10766179, 'group_order': 1536, 'label': '8G1', 'order': 8, 'powers': [14, 50], 'representative': 204, 'size': 2}
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id: 50489092
{'aut_label': '8G1', 'centralizer': '2.f1.a1', 'counter': 50, 'group_counter': 10766179, 'group_order': 1536, 'label': '8G3', 'order': 8, 'powers': [14, 49], 'representative': 580, 'size': 2}
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id: 50489093
{'aut_label': '8H1', 'centralizer': '2.f1.a1', 'counter': 51, 'group_counter': 10766179, 'group_order': 1536, 'label': '8H1', 'order': 8, 'powers': [14, 51], 'representative': 196, 'size': 2}
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id: 50489094
{'aut_label': '8H1', 'centralizer': '2.f1.a1', 'counter': 52, 'group_counter': 10766179, 'group_order': 1536, 'label': '8H-1', 'order': 8, 'powers': [14, 52], 'representative': 1356, 'size': 2}
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id: 50489095
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 53, 'group_counter': 10766179, 'group_order': 1536, 'label': '8I1', 'order': 8, 'powers': [19, 55], 'representative': 6, 'size': 2}
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id: 50489096
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 54, 'group_counter': 10766179, 'group_order': 1536, 'label': '8I-1', 'order': 8, 'powers': [20, 56], 'representative': 10, 'size': 2}
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id: 50489097
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 55, 'group_counter': 10766179, 'group_order': 1536, 'label': '8I3', 'order': 8, 'powers': [20, 53], 'representative': 2, 'size': 2}
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id: 50489098
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 56, 'group_counter': 10766179, 'group_order': 1536, 'label': '8I-3', 'order': 8, 'powers': [19, 54], 'representative': 14, 'size': 2}
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id: 50489099
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 57, 'group_counter': 10766179, 'group_order': 1536, 'label': '8J1', 'order': 8, 'powers': [19, 59], 'representative': 774, 'size': 2}
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id: 50489100
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 58, 'group_counter': 10766179, 'group_order': 1536, 'label': '8J-1', 'order': 8, 'powers': [20, 60], 'representative': 778, 'size': 2}
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id: 50489101
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 59, 'group_counter': 10766179, 'group_order': 1536, 'label': '8J3', 'order': 8, 'powers': [20, 57], 'representative': 770, 'size': 2}
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id: 50489103
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 60, 'group_counter': 10766179, 'group_order': 1536, 'label': '8J-3', 'order': 8, 'powers': [19, 58], 'representative': 782, 'size': 2}
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id: 50489104
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 61, 'group_counter': 10766179, 'group_order': 1536, 'label': '8K1', 'order': 8, 'powers': [21, 63], 'representative': 390, 'size': 2}
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id: 50489105
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 62, 'group_counter': 10766179, 'group_order': 1536, 'label': '8K-1', 'order': 8, 'powers': [22, 64], 'representative': 1162, 'size': 2}
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id: 50489106
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 63, 'group_counter': 10766179, 'group_order': 1536, 'label': '8K3', 'order': 8, 'powers': [22, 61], 'representative': 1154, 'size': 2}
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id: 50489107
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 64, 'group_counter': 10766179, 'group_order': 1536, 'label': '8K-3', 'order': 8, 'powers': [21, 62], 'representative': 398, 'size': 2}
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id: 50489108
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 65, 'group_counter': 10766179, 'group_order': 1536, 'label': '8L1', 'order': 8, 'powers': [19, 67], 'representative': 22, 'size': 2}
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id: 50489109
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 66, 'group_counter': 10766179, 'group_order': 1536, 'label': '8L-1', 'order': 8, 'powers': [20, 68], 'representative': 26, 'size': 2}
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id: 50489110
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 67, 'group_counter': 10766179, 'group_order': 1536, 'label': '8L3', 'order': 8, 'powers': [20, 65], 'representative': 18, 'size': 2}
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id: 50489111
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 68, 'group_counter': 10766179, 'group_order': 1536, 'label': '8L-3', 'order': 8, 'powers': [19, 66], 'representative': 30, 'size': 2}
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id: 50489112
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 69, 'group_counter': 10766179, 'group_order': 1536, 'label': '8M1', 'order': 8, 'powers': [19, 71], 'representative': 790, 'size': 2}
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id: 50489114
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 70, 'group_counter': 10766179, 'group_order': 1536, 'label': '8M-1', 'order': 8, 'powers': [20, 72], 'representative': 794, 'size': 2}
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id: 50489115
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 71, 'group_counter': 10766179, 'group_order': 1536, 'label': '8M3', 'order': 8, 'powers': [20, 69], 'representative': 786, 'size': 2}
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id: 50489116
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 72, 'group_counter': 10766179, 'group_order': 1536, 'label': '8M-3', 'order': 8, 'powers': [19, 70], 'representative': 798, 'size': 2}
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id: 50489117
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 73, 'group_counter': 10766179, 'group_order': 1536, 'label': '8N1', 'order': 8, 'powers': [21, 75], 'representative': 406, 'size': 2}
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id: 50489118
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 74, 'group_counter': 10766179, 'group_order': 1536, 'label': '8N-1', 'order': 8, 'powers': [22, 76], 'representative': 1178, 'size': 2}
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id: 50489119
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 75, 'group_counter': 10766179, 'group_order': 1536, 'label': '8N3', 'order': 8, 'powers': [22, 73], 'representative': 1170, 'size': 2}
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id: 50489120
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 76, 'group_counter': 10766179, 'group_order': 1536, 'label': '8N-3', 'order': 8, 'powers': [21, 74], 'representative': 414, 'size': 2}
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id: 50489121
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 77, 'group_counter': 10766179, 'group_order': 1536, 'label': '8O1', 'order': 8, 'powers': [22, 79], 'representative': 386, 'size': 2}
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id: 50489122
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 78, 'group_counter': 10766179, 'group_order': 1536, 'label': '8O-1', 'order': 8, 'powers': [21, 80], 'representative': 1166, 'size': 2}
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id: 50489123
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 79, 'group_counter': 10766179, 'group_order': 1536, 'label': '8O3', 'order': 8, 'powers': [21, 77], 'representative': 1158, 'size': 2}
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id: 50489125
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 80, 'group_counter': 10766179, 'group_order': 1536, 'label': '8O-3', 'order': 8, 'powers': [22, 78], 'representative': 394, 'size': 2}
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id: 50489126
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 81, 'group_counter': 10766179, 'group_order': 1536, 'label': '8P1', 'order': 8, 'powers': [22, 83], 'representative': 402, 'size': 2}
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id: 50489127
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 82, 'group_counter': 10766179, 'group_order': 1536, 'label': '8P-1', 'order': 8, 'powers': [21, 84], 'representative': 1182, 'size': 2}
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id: 50489128
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 83, 'group_counter': 10766179, 'group_order': 1536, 'label': '8P3', 'order': 8, 'powers': [21, 81], 'representative': 1174, 'size': 2}
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id: 50489129
{'aut_label': '8I1', 'centralizer': '2.f1.a1', 'counter': 84, 'group_counter': 10766179, 'group_order': 1536, 'label': '8P-3', 'order': 8, 'powers': [22, 82], 'representative': 410, 'size': 2}
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id: 50489130
{'aut_label': '8Q1', 'centralizer': '48.q1.a1', 'counter': 85, 'group_counter': 10766179, 'group_order': 1536, 'label': '8Q1', 'order': 8, 'powers': [11, 86], 'representative': 463, 'size': 48}
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id: 50489131
{'aut_label': '8Q1', 'centralizer': '48.q1.a1', 'counter': 86, 'group_counter': 10766179, 'group_order': 1536, 'label': '8Q-1', 'order': 8, 'powers': [12, 85], 'representative': 79, 'size': 48}
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id: 50489132
{'aut_label': '8R1', 'centralizer': '48.u1.a1', 'counter': 87, 'group_counter': 10766179, 'group_order': 1536, 'label': '8R1', 'order': 8, 'powers': [10, 88], 'representative': 421, 'size': 48}
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id: 50489133
{'aut_label': '8R1', 'centralizer': '48.u1.a1', 'counter': 88, 'group_counter': 10766179, 'group_order': 1536, 'label': '8R-1', 'order': 8, 'powers': [9, 87], 'representative': 821, 'size': 48}
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id: 50489134
{'aut_label': '12A1', 'centralizer': '2.f1.a1', 'counter': 89, 'group_counter': 10766179, 'group_order': 1536, 'label': '12A1', 'order': 12, 'powers': [28, 9], 'representative': 144, 'size': 2}
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id: 50489136
{'aut_label': '12A1', 'centralizer': '2.f1.a1', 'counter': 90, 'group_counter': 10766179, 'group_order': 1536, 'label': '12A-1', 'order': 12, 'powers': [28, 10], 'representative': 912, 'size': 2}
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id: 50489137
{'aut_label': '12B1', 'centralizer': '2.f1.a1', 'counter': 91, 'group_counter': 10766179, 'group_order': 1536, 'label': '12B1', 'order': 12, 'powers': [28, 13], 'representative': 152, 'size': 2}
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id: 50489138
{'aut_label': '12B1', 'centralizer': '2.f1.a1', 'counter': 92, 'group_counter': 10766179, 'group_order': 1536, 'label': '12B5', 'order': 12, 'powers': [28, 13], 'representative': 664, 'size': 2}
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id: 50489139
{'aut_label': '12C1', 'centralizer': '2.f1.a1', 'counter': 93, 'group_counter': 10766179, 'group_order': 1536, 'label': '12C1', 'order': 12, 'powers': [28, 11], 'representative': 128, 'size': 2}
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id: 50489140
{'aut_label': '12C1', 'centralizer': '2.f1.a1', 'counter': 94, 'group_counter': 10766179, 'group_order': 1536, 'label': '12C-1', 'order': 12, 'powers': [28, 12], 'representative': 1408, 'size': 2}
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id: 50489141
{'aut_label': '12D1', 'centralizer': '2.f1.a1', 'counter': 95, 'group_counter': 10766179, 'group_order': 1536, 'label': '12D1', 'order': 12, 'powers': [28, 14], 'representative': 136, 'size': 2}
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id: 50489142
{'aut_label': '12D1', 'centralizer': '2.f1.a1', 'counter': 96, 'group_counter': 10766179, 'group_order': 1536, 'label': '12D5', 'order': 12, 'powers': [28, 14], 'representative': 648, 'size': 2}
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id: 50489143
{'aut_label': '12E1', 'centralizer': '2.f1.a1', 'counter': 97, 'group_counter': 10766179, 'group_order': 1536, 'label': '12E1', 'order': 12, 'powers': [31, 15], 'representative': 532, 'size': 2}
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id: 50489144
{'aut_label': '12E1', 'centralizer': '2.f1.a1', 'counter': 98, 'group_counter': 10766179, 'group_order': 1536, 'label': '12E-1', 'order': 12, 'powers': [32, 16], 'representative': 148, 'size': 2}
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id: 50489145
{'aut_label': '12E1', 'centralizer': '2.f1.a1', 'counter': 99, 'group_counter': 10766179, 'group_order': 1536, 'label': '12E5', 'order': 12, 'powers': [32, 15], 'representative': 1044, 'size': 2}
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id: 50488740
{'aut_label': '12E1', 'centralizer': '2.f1.a1', 'counter': 100, 'group_counter': 10766179, 'group_order': 1536, 'label': '12E-5', 'order': 12, 'powers': [31, 16], 'representative': 660, 'size': 2}
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id: 50488741
{'aut_label': '12E1', 'centralizer': '2.f1.a1', 'counter': 101, 'group_counter': 10766179, 'group_order': 1536, 'label': '12F1', 'order': 12, 'powers': [32, 17], 'representative': 276, 'size': 2}
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id: 50488742
{'aut_label': '12E1', 'centralizer': '2.f1.a1', 'counter': 102, 'group_counter': 10766179, 'group_order': 1536, 'label': '12F-1', 'order': 12, 'powers': [31, 18], 'representative': 1428, 'size': 2}
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id: 50488743
{'aut_label': '12E1', 'centralizer': '2.f1.a1', 'counter': 103, 'group_counter': 10766179, 'group_order': 1536, 'label': '12F5', 'order': 12, 'powers': [31, 17], 'representative': 1300, 'size': 2}
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id: 50488744
{'aut_label': '12E1', 'centralizer': '2.f1.a1', 'counter': 104, 'group_counter': 10766179, 'group_order': 1536, 'label': '12F-5', 'order': 12, 'powers': [32, 18], 'representative': 284, 'size': 2}
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id: 50488745
{'aut_label': '12G1', 'centralizer': '2.f1.a1', 'counter': 105, 'group_counter': 10766179, 'group_order': 1536, 'label': '12G1', 'order': 12, 'powers': [32, 19], 'representative': 1028, 'size': 2}
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id: 50488746
{'aut_label': '12G1', 'centralizer': '2.f1.a1', 'counter': 106, 'group_counter': 10766179, 'group_order': 1536, 'label': '12G-1', 'order': 12, 'powers': [31, 20], 'representative': 524, 'size': 2}
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id: 50488747
{'aut_label': '12G1', 'centralizer': '2.f1.a1', 'counter': 107, 'group_counter': 10766179, 'group_order': 1536, 'label': '12G5', 'order': 12, 'powers': [31, 19], 'representative': 516, 'size': 2}
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id: 50488748
{'aut_label': '12G1', 'centralizer': '2.f1.a1', 'counter': 108, 'group_counter': 10766179, 'group_order': 1536, 'label': '12G-5', 'order': 12, 'powers': [32, 20], 'representative': 1036, 'size': 2}
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id: 50488749
{'aut_label': '12G1', 'centralizer': '2.f1.a1', 'counter': 109, 'group_counter': 10766179, 'group_order': 1536, 'label': '12H1', 'order': 12, 'powers': [32, 21], 'representative': 260, 'size': 2}
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id: 50488751
{'aut_label': '12G1', 'centralizer': '2.f1.a1', 'counter': 110, 'group_counter': 10766179, 'group_order': 1536, 'label': '12H-1', 'order': 12, 'powers': [31, 22], 'representative': 1292, 'size': 2}
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id: 50488752
{'aut_label': '12G1', 'centralizer': '2.f1.a1', 'counter': 111, 'group_counter': 10766179, 'group_order': 1536, 'label': '12H5', 'order': 12, 'powers': [31, 21], 'representative': 1284, 'size': 2}
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id: 50488753
{'aut_label': '12G1', 'centralizer': '2.f1.a1', 'counter': 112, 'group_counter': 10766179, 'group_order': 1536, 'label': '12H-5', 'order': 12, 'powers': [32, 22], 'representative': 268, 'size': 2}
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id: 50488754
{'aut_label': '16A1', 'centralizer': '2.f1.a1', 'counter': 113, 'group_counter': 10766179, 'group_order': 1536, 'label': '16A1', 'order': 16, 'powers': [37, 115], 'representative': 96, 'size': 2}
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id: 50488755
{'aut_label': '16A1', 'centralizer': '2.f1.a1', 'counter': 114, 'group_counter': 10766179, 'group_order': 1536, 'label': '16A-1', 'order': 16, 'powers': [38, 116], 'representative': 1440, 'size': 2}
-
id: 50488756
{'aut_label': '16A1', 'centralizer': '2.f1.a1', 'counter': 115, 'group_counter': 10766179, 'group_order': 1536, 'label': '16A3', 'order': 16, 'powers': [39, 120], 'representative': 288, 'size': 2}
-
id: 50488757
{'aut_label': '16A1', 'centralizer': '2.f1.a1', 'counter': 116, 'group_counter': 10766179, 'group_order': 1536, 'label': '16A-3', 'order': 16, 'powers': [40, 119], 'representative': 1248, 'size': 2}
-
id: 50488758
{'aut_label': '16A1', 'centralizer': '2.f1.a1', 'counter': 117, 'group_counter': 10766179, 'group_order': 1536, 'label': '16A5', 'order': 16, 'powers': [40, 114], 'representative': 480, 'size': 2}
-
id: 50488759
{'aut_label': '16A1', 'centralizer': '2.f1.a1', 'counter': 118, 'group_counter': 10766179, 'group_order': 1536, 'label': '16A-5', 'order': 16, 'powers': [39, 113], 'representative': 1056, 'size': 2}
-
id: 50488760
{'aut_label': '16A1', 'centralizer': '2.f1.a1', 'counter': 119, 'group_counter': 10766179, 'group_order': 1536, 'label': '16A7', 'order': 16, 'powers': [38, 117], 'representative': 672, 'size': 2}
-
id: 50488762
{'aut_label': '16A1', 'centralizer': '2.f1.a1', 'counter': 120, 'group_counter': 10766179, 'group_order': 1536, 'label': '16A-7', 'order': 16, 'powers': [37, 118], 'representative': 864, 'size': 2}
-
id: 50488763
{'aut_label': '16A1', 'centralizer': '2.f1.a1', 'counter': 121, 'group_counter': 10766179, 'group_order': 1536, 'label': '16B1', 'order': 16, 'powers': [37, 123], 'representative': 104, 'size': 2}
-
id: 50488764
{'aut_label': '16A1', 'centralizer': '2.f1.a1', 'counter': 122, 'group_counter': 10766179, 'group_order': 1536, 'label': '16B-1', 'order': 16, 'powers': [38, 124], 'representative': 1448, 'size': 2}
-
id: 50488765
{'aut_label': '16A1', 'centralizer': '2.f1.a1', 'counter': 123, 'group_counter': 10766179, 'group_order': 1536, 'label': '16B3', 'order': 16, 'powers': [39, 128], 'representative': 296, 'size': 2}
-
id: 50488766
{'aut_label': '16A1', 'centralizer': '2.f1.a1', 'counter': 124, 'group_counter': 10766179, 'group_order': 1536, 'label': '16B-3', 'order': 16, 'powers': [40, 127], 'representative': 1256, 'size': 2}
-
id: 50488767
{'aut_label': '16A1', 'centralizer': '2.f1.a1', 'counter': 125, 'group_counter': 10766179, 'group_order': 1536, 'label': '16B5', 'order': 16, 'powers': [40, 122], 'representative': 488, 'size': 2}
-
id: 50488768
{'aut_label': '16A1', 'centralizer': '2.f1.a1', 'counter': 126, 'group_counter': 10766179, 'group_order': 1536, 'label': '16B-5', 'order': 16, 'powers': [39, 121], 'representative': 1064, 'size': 2}
-
id: 50488769
{'aut_label': '16A1', 'centralizer': '2.f1.a1', 'counter': 127, 'group_counter': 10766179, 'group_order': 1536, 'label': '16B7', 'order': 16, 'powers': [38, 125], 'representative': 680, 'size': 2}
-
id: 50488770
{'aut_label': '16A1', 'centralizer': '2.f1.a1', 'counter': 128, 'group_counter': 10766179, 'group_order': 1536, 'label': '16B-7', 'order': 16, 'powers': [37, 126], 'representative': 872, 'size': 2}
-
id: 50488771
{'aut_label': '16C1', 'centralizer': '2.f1.a1', 'counter': 129, 'group_counter': 10766179, 'group_order': 1536, 'label': '16C1', 'order': 16, 'powers': [47, 131], 'representative': 108, 'size': 2}
-
id: 50488773
{'aut_label': '16C1', 'centralizer': '2.f1.a1', 'counter': 130, 'group_counter': 10766179, 'group_order': 1536, 'label': '16C-1', 'order': 16, 'powers': [48, 132], 'representative': 1444, 'size': 2}
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id: 50488774
{'aut_label': '16C1', 'centralizer': '2.f1.a1', 'counter': 131, 'group_counter': 10766179, 'group_order': 1536, 'label': '16C3', 'order': 16, 'powers': [48, 136], 'representative': 292, 'size': 2}
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id: 50488775
{'aut_label': '16C1', 'centralizer': '2.f1.a1', 'counter': 132, 'group_counter': 10766179, 'group_order': 1536, 'label': '16C-3', 'order': 16, 'powers': [47, 135], 'representative': 1260, 'size': 2}
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id: 50488776
{'aut_label': '16C1', 'centralizer': '2.f1.a1', 'counter': 133, 'group_counter': 10766179, 'group_order': 1536, 'label': '16C5', 'order': 16, 'powers': [47, 130], 'representative': 492, 'size': 2}
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id: 50488777
{'aut_label': '16C1', 'centralizer': '2.f1.a1', 'counter': 134, 'group_counter': 10766179, 'group_order': 1536, 'label': '16C-5', 'order': 16, 'powers': [48, 129], 'representative': 1060, 'size': 2}
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id: 50488778
{'aut_label': '16C1', 'centralizer': '2.f1.a1', 'counter': 135, 'group_counter': 10766179, 'group_order': 1536, 'label': '16C7', 'order': 16, 'powers': [48, 133], 'representative': 676, 'size': 2}
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id: 50488779
{'aut_label': '16C1', 'centralizer': '2.f1.a1', 'counter': 136, 'group_counter': 10766179, 'group_order': 1536, 'label': '16C-7', 'order': 16, 'powers': [47, 134], 'representative': 876, 'size': 2}
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id: 50488780
{'aut_label': '16D1', 'centralizer': '2.f1.a1', 'counter': 137, 'group_counter': 10766179, 'group_order': 1536, 'label': '16D1', 'order': 16, 'powers': [49, 139], 'representative': 102, 'size': 2}
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id: 50488781
{'aut_label': '16D1', 'centralizer': '2.f1.a1', 'counter': 138, 'group_counter': 10766179, 'group_order': 1536, 'label': '16D-1', 'order': 16, 'powers': [49, 140], 'representative': 1450, 'size': 2}
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id: 50488782
{'aut_label': '16D1', 'centralizer': '2.f1.a1', 'counter': 139, 'group_counter': 10766179, 'group_order': 1536, 'label': '16D3', 'order': 16, 'powers': [50, 144], 'representative': 290, 'size': 2}
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id: 50488784
{'aut_label': '16D1', 'centralizer': '2.f1.a1', 'counter': 140, 'group_counter': 10766179, 'group_order': 1536, 'label': '16D-3', 'order': 16, 'powers': [50, 143], 'representative': 1262, 'size': 2}
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id: 50488785
{'aut_label': '16D1', 'centralizer': '2.f1.a1', 'counter': 141, 'group_counter': 10766179, 'group_order': 1536, 'label': '16D5', 'order': 16, 'powers': [50, 138], 'representative': 494, 'size': 2}
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id: 50488786
{'aut_label': '16D1', 'centralizer': '2.f1.a1', 'counter': 142, 'group_counter': 10766179, 'group_order': 1536, 'label': '16D-5', 'order': 16, 'powers': [50, 137], 'representative': 1058, 'size': 2}
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id: 50488787
{'aut_label': '16D1', 'centralizer': '2.f1.a1', 'counter': 143, 'group_counter': 10766179, 'group_order': 1536, 'label': '16D7', 'order': 16, 'powers': [49, 141], 'representative': 682, 'size': 2}
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id: 50488788
{'aut_label': '16D1', 'centralizer': '2.f1.a1', 'counter': 144, 'group_counter': 10766179, 'group_order': 1536, 'label': '16D-7', 'order': 16, 'powers': [49, 142], 'representative': 870, 'size': 2}
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id: 50488789
{'aut_label': '16C1', 'centralizer': '2.f1.a1', 'counter': 145, 'group_counter': 10766179, 'group_order': 1536, 'label': '16E1', 'order': 16, 'powers': [47, 147], 'representative': 124, 'size': 2}
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id: 50488790
{'aut_label': '16C1', 'centralizer': '2.f1.a1', 'counter': 146, 'group_counter': 10766179, 'group_order': 1536, 'label': '16E-1', 'order': 16, 'powers': [48, 148], 'representative': 1460, 'size': 2}
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id: 50488791
{'aut_label': '16C1', 'centralizer': '2.f1.a1', 'counter': 147, 'group_counter': 10766179, 'group_order': 1536, 'label': '16E3', 'order': 16, 'powers': [48, 152], 'representative': 308, 'size': 2}
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id: 50488792
{'aut_label': '16C1', 'centralizer': '2.f1.a1', 'counter': 148, 'group_counter': 10766179, 'group_order': 1536, 'label': '16E-3', 'order': 16, 'powers': [47, 151], 'representative': 1276, 'size': 2}
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id: 50488793
{'aut_label': '16C1', 'centralizer': '2.f1.a1', 'counter': 149, 'group_counter': 10766179, 'group_order': 1536, 'label': '16E5', 'order': 16, 'powers': [47, 146], 'representative': 508, 'size': 2}
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id: 50488795
{'aut_label': '16C1', 'centralizer': '2.f1.a1', 'counter': 150, 'group_counter': 10766179, 'group_order': 1536, 'label': '16E-5', 'order': 16, 'powers': [48, 145], 'representative': 1076, 'size': 2}
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id: 50488796
{'aut_label': '16C1', 'centralizer': '2.f1.a1', 'counter': 151, 'group_counter': 10766179, 'group_order': 1536, 'label': '16E7', 'order': 16, 'powers': [48, 149], 'representative': 692, 'size': 2}
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id: 50488797
{'aut_label': '16C1', 'centralizer': '2.f1.a1', 'counter': 152, 'group_counter': 10766179, 'group_order': 1536, 'label': '16E-7', 'order': 16, 'powers': [47, 150], 'representative': 892, 'size': 2}
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id: 50488798
{'aut_label': '16D1', 'centralizer': '2.f1.a1', 'counter': 153, 'group_counter': 10766179, 'group_order': 1536, 'label': '16F1', 'order': 16, 'powers': [50, 155], 'representative': 486, 'size': 2}
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id: 50488799
{'aut_label': '16D1', 'centralizer': '2.f1.a1', 'counter': 154, 'group_counter': 10766179, 'group_order': 1536, 'label': '16F-1', 'order': 16, 'powers': [50, 156], 'representative': 1066, 'size': 2}
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id: 50488800
{'aut_label': '16D1', 'centralizer': '2.f1.a1', 'counter': 155, 'group_counter': 10766179, 'group_order': 1536, 'label': '16F3', 'order': 16, 'powers': [49, 160], 'representative': 1442, 'size': 2}
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id: 50488801
{'aut_label': '16D1', 'centralizer': '2.f1.a1', 'counter': 156, 'group_counter': 10766179, 'group_order': 1536, 'label': '16F-3', 'order': 16, 'powers': [49, 159], 'representative': 110, 'size': 2}
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id: 50488802
{'aut_label': '16D1', 'centralizer': '2.f1.a1', 'counter': 157, 'group_counter': 10766179, 'group_order': 1536, 'label': '16F5', 'order': 16, 'powers': [49, 154], 'representative': 878, 'size': 2}
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id: 50488803
{'aut_label': '16D1', 'centralizer': '2.f1.a1', 'counter': 158, 'group_counter': 10766179, 'group_order': 1536, 'label': '16F-5', 'order': 16, 'powers': [49, 153], 'representative': 674, 'size': 2}
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id: 50488804
{'aut_label': '16D1', 'centralizer': '2.f1.a1', 'counter': 159, 'group_counter': 10766179, 'group_order': 1536, 'label': '16F7', 'order': 16, 'powers': [50, 157], 'representative': 298, 'size': 2}
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id: 50488806
{'aut_label': '16D1', 'centralizer': '2.f1.a1', 'counter': 160, 'group_counter': 10766179, 'group_order': 1536, 'label': '16F-7', 'order': 16, 'powers': [50, 158], 'representative': 1254, 'size': 2}
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id: 50488807
{'aut_label': '16G1', 'centralizer': '2.f1.a1', 'counter': 161, 'group_counter': 10766179, 'group_order': 1536, 'label': '16G1', 'order': 16, 'powers': [51, 163], 'representative': 98, 'size': 2}
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id: 50488808
{'aut_label': '16G1', 'centralizer': '2.f1.a1', 'counter': 162, 'group_counter': 10766179, 'group_order': 1536, 'label': '16G-1', 'order': 16, 'powers': [52, 164], 'representative': 1454, 'size': 2}
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id: 50488809
{'aut_label': '16G1', 'centralizer': '2.f1.a1', 'counter': 163, 'group_counter': 10766179, 'group_order': 1536, 'label': '16G3', 'order': 16, 'powers': [51, 168], 'representative': 294, 'size': 2}
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id: 50488810
{'aut_label': '16G1', 'centralizer': '2.f1.a1', 'counter': 164, 'group_counter': 10766179, 'group_order': 1536, 'label': '16G-3', 'order': 16, 'powers': [52, 167], 'representative': 1258, 'size': 2}
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id: 50488811
{'aut_label': '16G1', 'centralizer': '2.f1.a1', 'counter': 165, 'group_counter': 10766179, 'group_order': 1536, 'label': '16G5', 'order': 16, 'powers': [52, 162], 'representative': 490, 'size': 2}
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id: 50488812
{'aut_label': '16G1', 'centralizer': '2.f1.a1', 'counter': 166, 'group_counter': 10766179, 'group_order': 1536, 'label': '16G-5', 'order': 16, 'powers': [51, 161], 'representative': 1062, 'size': 2}
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id: 50488813
{'aut_label': '16G1', 'centralizer': '2.f1.a1', 'counter': 167, 'group_counter': 10766179, 'group_order': 1536, 'label': '16G7', 'order': 16, 'powers': [52, 165], 'representative': 686, 'size': 2}
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id: 50488814
{'aut_label': '16G1', 'centralizer': '2.f1.a1', 'counter': 168, 'group_counter': 10766179, 'group_order': 1536, 'label': '16G-7', 'order': 16, 'powers': [51, 166], 'representative': 866, 'size': 2}
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id: 50488815
{'aut_label': '16G1', 'centralizer': '2.f1.a1', 'counter': 169, 'group_counter': 10766179, 'group_order': 1536, 'label': '16H1', 'order': 16, 'powers': [52, 171], 'representative': 678, 'size': 2}
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id: 50488817
{'aut_label': '16G1', 'centralizer': '2.f1.a1', 'counter': 170, 'group_counter': 10766179, 'group_order': 1536, 'label': '16H-1', 'order': 16, 'powers': [51, 172], 'representative': 874, 'size': 2}
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id: 50488818
{'aut_label': '16G1', 'centralizer': '2.f1.a1', 'counter': 171, 'group_counter': 10766179, 'group_order': 1536, 'label': '16H3', 'order': 16, 'powers': [52, 176], 'representative': 482, 'size': 2}
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id: 50488819
{'aut_label': '16G1', 'centralizer': '2.f1.a1', 'counter': 172, 'group_counter': 10766179, 'group_order': 1536, 'label': '16H-3', 'order': 16, 'powers': [51, 175], 'representative': 1070, 'size': 2}
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id: 50488820
{'aut_label': '16G1', 'centralizer': '2.f1.a1', 'counter': 173, 'group_counter': 10766179, 'group_order': 1536, 'label': '16H5', 'order': 16, 'powers': [51, 170], 'representative': 302, 'size': 2}
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id: 50488821
{'aut_label': '16G1', 'centralizer': '2.f1.a1', 'counter': 174, 'group_counter': 10766179, 'group_order': 1536, 'label': '16H-5', 'order': 16, 'powers': [52, 169], 'representative': 1250, 'size': 2}
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id: 50488822
{'aut_label': '16G1', 'centralizer': '2.f1.a1', 'counter': 175, 'group_counter': 10766179, 'group_order': 1536, 'label': '16H7', 'order': 16, 'powers': [51, 173], 'representative': 106, 'size': 2}
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id: 50488823
{'aut_label': '16G1', 'centralizer': '2.f1.a1', 'counter': 176, 'group_counter': 10766179, 'group_order': 1536, 'label': '16H-7', 'order': 16, 'powers': [52, 174], 'representative': 1446, 'size': 2}
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id: 50488824
{'aut_label': '16I1', 'centralizer': '48.w1.a1', 'counter': 177, 'group_counter': 10766179, 'group_order': 1536, 'label': '16I1', 'order': 16, 'powers': [40, 179], 'representative': 341, 'size': 48}
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id: 50488825
{'aut_label': '16I1', 'centralizer': '48.w1.a1', 'counter': 178, 'group_counter': 10766179, 'group_order': 1536, 'label': '16I-1', 'order': 16, 'powers': [39, 180], 'representative': 917, 'size': 48}
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id: 50488826
{'aut_label': '16I1', 'centralizer': '48.w1.a1', 'counter': 179, 'group_counter': 10766179, 'group_order': 1536, 'label': '16I3', 'order': 16, 'powers': [38, 177], 'representative': 1301, 'size': 48}
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id: 50488828
{'aut_label': '16I1', 'centralizer': '48.w1.a1', 'counter': 180, 'group_counter': 10766179, 'group_order': 1536, 'label': '16I-3', 'order': 16, 'powers': [37, 178], 'representative': 1493, 'size': 48}
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id: 50488829
{'aut_label': '16J1', 'centralizer': '48.x1.a1', 'counter': 181, 'group_counter': 10766179, 'group_order': 1536, 'label': '16J1', 'order': 16, 'powers': [36, 183], 'representative': 255, 'size': 48}
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id: 50488830
{'aut_label': '16J1', 'centralizer': '48.x1.a1', 'counter': 182, 'group_counter': 10766179, 'group_order': 1536, 'label': '16J-1', 'order': 16, 'powers': [35, 184], 'representative': 815, 'size': 48}
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id: 50488831
{'aut_label': '16J1', 'centralizer': '48.x1.a1', 'counter': 183, 'group_counter': 10766179, 'group_order': 1536, 'label': '16J3', 'order': 16, 'powers': [34, 181], 'representative': 1199, 'size': 48}
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id: 50488832
{'aut_label': '16J1', 'centralizer': '48.x1.a1', 'counter': 184, 'group_counter': 10766179, 'group_order': 1536, 'label': '16J-3', 'order': 16, 'powers': [33, 182], 'representative': 1407, 'size': 48}
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id: 50488833
{'aut_label': '24A1', 'centralizer': '2.f1.a1', 'counter': 185, 'group_counter': 10766179, 'group_order': 1536, 'label': '24A1', 'order': 24, 'powers': [93, 33], 'representative': 80, 'size': 2}
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id: 50488834
{'aut_label': '24A1', 'centralizer': '2.f1.a1', 'counter': 186, 'group_counter': 10766179, 'group_order': 1536, 'label': '24A-1', 'order': 24, 'powers': [94, 34], 'representative': 464, 'size': 2}
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id: 50488835
{'aut_label': '24A1', 'centralizer': '2.f1.a1', 'counter': 187, 'group_counter': 10766179, 'group_order': 1536, 'label': '24A5', 'order': 24, 'powers': [93, 36], 'representative': 336, 'size': 2}
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id: 50488836
{'aut_label': '24A1', 'centralizer': '2.f1.a1', 'counter': 188, 'group_counter': 10766179, 'group_order': 1536, 'label': '24A-5', 'order': 24, 'powers': [94, 35], 'representative': 720, 'size': 2}
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id: 50488837
{'aut_label': '24B1', 'centralizer': '2.f1.a1', 'counter': 189, 'group_counter': 10766179, 'group_order': 1536, 'label': '24B1', 'order': 24, 'powers': [93, 41], 'representative': 88, 'size': 2}
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id: 50488839
{'aut_label': '24B1', 'centralizer': '2.f1.a1', 'counter': 190, 'group_counter': 10766179, 'group_order': 1536, 'label': '24B-1', 'order': 24, 'powers': [94, 42], 'representative': 1240, 'size': 2}
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id: 50488840
{'aut_label': '24B1', 'centralizer': '2.f1.a1', 'counter': 191, 'group_counter': 10766179, 'group_order': 1536, 'label': '24B7', 'order': 24, 'powers': [94, 42], 'representative': 728, 'size': 2}
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id: 50488841
{'aut_label': '24B1', 'centralizer': '2.f1.a1', 'counter': 192, 'group_counter': 10766179, 'group_order': 1536, 'label': '24B-7', 'order': 24, 'powers': [93, 41], 'representative': 1112, 'size': 2}
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id: 50488842
{'aut_label': '24C1', 'centralizer': '2.f1.a1', 'counter': 193, 'group_counter': 10766179, 'group_order': 1536, 'label': '24C1', 'order': 24, 'powers': [95, 43], 'representative': 84, 'size': 2}
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id: 50488843
{'aut_label': '24C1', 'centralizer': '2.f1.a1', 'counter': 194, 'group_counter': 10766179, 'group_order': 1536, 'label': '24C5', 'order': 24, 'powers': [96, 44], 'representative': 340, 'size': 2}
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id: 50488844
{'aut_label': '24C1', 'centralizer': '2.f1.a1', 'counter': 195, 'group_counter': 10766179, 'group_order': 1536, 'label': '24C7', 'order': 24, 'powers': [96, 43], 'representative': 1108, 'size': 2}
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id: 50488845
{'aut_label': '24C1', 'centralizer': '2.f1.a1', 'counter': 196, 'group_counter': 10766179, 'group_order': 1536, 'label': '24C11', 'order': 24, 'powers': [95, 44], 'representative': 852, 'size': 2}
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id: 50488846
{'aut_label': '24D1', 'centralizer': '2.f1.a1', 'counter': 197, 'group_counter': 10766179, 'group_order': 1536, 'label': '24D1', 'order': 24, 'powers': [95, 45], 'representative': 92, 'size': 2}
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id: 50488847
{'aut_label': '24D1', 'centralizer': '2.f1.a1', 'counter': 198, 'group_counter': 10766179, 'group_order': 1536, 'label': '24D-1', 'order': 24, 'powers': [95, 46], 'representative': 860, 'size': 2}
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id: 50488848
{'aut_label': '24D1', 'centralizer': '2.f1.a1', 'counter': 199, 'group_counter': 10766179, 'group_order': 1536, 'label': '24D5', 'order': 24, 'powers': [96, 46], 'representative': 468, 'size': 2}
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id: 50488851
{'aut_label': '24D1', 'centralizer': '2.f1.a1', 'counter': 200, 'group_counter': 10766179, 'group_order': 1536, 'label': '24D-5', 'order': 24, 'powers': [96, 45], 'representative': 1236, 'size': 2}
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id: 50488852
{'aut_label': '24E1', 'centralizer': '2.f1.a1', 'counter': 201, 'group_counter': 10766179, 'group_order': 1536, 'label': '24E1', 'order': 24, 'powers': [93, 37], 'representative': 64, 'size': 2}
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id: 50488853
{'aut_label': '24E1', 'centralizer': '2.f1.a1', 'counter': 202, 'group_counter': 10766179, 'group_order': 1536, 'label': '24E-1', 'order': 24, 'powers': [94, 38], 'representative': 1472, 'size': 2}
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id: 50488854
{'aut_label': '24E1', 'centralizer': '2.f1.a1', 'counter': 203, 'group_counter': 10766179, 'group_order': 1536, 'label': '24E5', 'order': 24, 'powers': [93, 40], 'representative': 320, 'size': 2}
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id: 50488855
{'aut_label': '24E1', 'centralizer': '2.f1.a1', 'counter': 204, 'group_counter': 10766179, 'group_order': 1536, 'label': '24E-5', 'order': 24, 'powers': [94, 39], 'representative': 1216, 'size': 2}
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id: 50488856
{'aut_label': '24F1', 'centralizer': '2.f1.a1', 'counter': 205, 'group_counter': 10766179, 'group_order': 1536, 'label': '24F1', 'order': 24, 'powers': [93, 47], 'representative': 72, 'size': 2}
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id: 50488857
{'aut_label': '24F1', 'centralizer': '2.f1.a1', 'counter': 206, 'group_counter': 10766179, 'group_order': 1536, 'label': '24F-1', 'order': 24, 'powers': [94, 48], 'representative': 1480, 'size': 2}
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id: 50488858
{'aut_label': '24F1', 'centralizer': '2.f1.a1', 'counter': 207, 'group_counter': 10766179, 'group_order': 1536, 'label': '24F7', 'order': 24, 'powers': [94, 48], 'representative': 456, 'size': 2}
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id: 50488859
{'aut_label': '24F1', 'centralizer': '2.f1.a1', 'counter': 208, 'group_counter': 10766179, 'group_order': 1536, 'label': '24F-7', 'order': 24, 'powers': [93, 47], 'representative': 1096, 'size': 2}
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id: 50488860
{'aut_label': '24G1', 'centralizer': '2.f1.a1', 'counter': 209, 'group_counter': 10766179, 'group_order': 1536, 'label': '24G1', 'order': 24, 'powers': [95, 49], 'representative': 68, 'size': 2}
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id: 50488862
{'aut_label': '24G1', 'centralizer': '2.f1.a1', 'counter': 210, 'group_counter': 10766179, 'group_order': 1536, 'label': '24G5', 'order': 24, 'powers': [96, 50], 'representative': 324, 'size': 2}
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id: 50488863
{'aut_label': '24G1', 'centralizer': '2.f1.a1', 'counter': 211, 'group_counter': 10766179, 'group_order': 1536, 'label': '24G7', 'order': 24, 'powers': [96, 49], 'representative': 460, 'size': 2}
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id: 50488864
{'aut_label': '24G1', 'centralizer': '2.f1.a1', 'counter': 212, 'group_counter': 10766179, 'group_order': 1536, 'label': '24G11', 'order': 24, 'powers': [95, 50], 'representative': 716, 'size': 2}
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id: 50488865
{'aut_label': '24H1', 'centralizer': '2.f1.a1', 'counter': 213, 'group_counter': 10766179, 'group_order': 1536, 'label': '24H1', 'order': 24, 'powers': [95, 51], 'representative': 76, 'size': 2}
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id: 50488866
{'aut_label': '24H1', 'centralizer': '2.f1.a1', 'counter': 214, 'group_counter': 10766179, 'group_order': 1536, 'label': '24H-1', 'order': 24, 'powers': [95, 52], 'representative': 1476, 'size': 2}
-
id: 50488867
{'aut_label': '24H1', 'centralizer': '2.f1.a1', 'counter': 215, 'group_counter': 10766179, 'group_order': 1536, 'label': '24H5', 'order': 24, 'powers': [96, 52], 'representative': 332, 'size': 2}
-
id: 50488868
{'aut_label': '24H1', 'centralizer': '2.f1.a1', 'counter': 216, 'group_counter': 10766179, 'group_order': 1536, 'label': '24H-5', 'order': 24, 'powers': [96, 51], 'representative': 1220, 'size': 2}
-
id: 50488869
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 217, 'group_counter': 10766179, 'group_order': 1536, 'label': '24I1', 'order': 24, 'powers': [105, 53], 'representative': 514, 'size': 2}
-
id: 50488870
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 218, 'group_counter': 10766179, 'group_order': 1536, 'label': '24I-1', 'order': 24, 'powers': [106, 54], 'representative': 1090, 'size': 2}
-
id: 50488871
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 219, 'group_counter': 10766179, 'group_order': 1536, 'label': '24I5', 'order': 24, 'powers': [107, 56], 'representative': 1034, 'size': 2}
-
id: 50488873
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 220, 'group_counter': 10766179, 'group_order': 1536, 'label': '24I-5', 'order': 24, 'powers': [108, 55], 'representative': 518, 'size': 2}
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id: 50488874
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 221, 'group_counter': 10766179, 'group_order': 1536, 'label': '24I7', 'order': 24, 'powers': [108, 54], 'representative': 66, 'size': 2}
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id: 50488875
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 222, 'group_counter': 10766179, 'group_order': 1536, 'label': '24I-7', 'order': 24, 'powers': [107, 53], 'representative': 1026, 'size': 2}
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id: 50488876
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 223, 'group_counter': 10766179, 'group_order': 1536, 'label': '24I11', 'order': 24, 'powers': [106, 55], 'representative': 1030, 'size': 2}
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id: 50488877
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 224, 'group_counter': 10766179, 'group_order': 1536, 'label': '24I-11', 'order': 24, 'powers': [105, 56], 'representative': 522, 'size': 2}
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id: 50488878
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 225, 'group_counter': 10766179, 'group_order': 1536, 'label': '24J1', 'order': 24, 'powers': [107, 57], 'representative': 258, 'size': 2}
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id: 50488879
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 226, 'group_counter': 10766179, 'group_order': 1536, 'label': '24J-1', 'order': 24, 'powers': [108, 58], 'representative': 834, 'size': 2}
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id: 50488880
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 227, 'group_counter': 10766179, 'group_order': 1536, 'label': '24J5', 'order': 24, 'powers': [105, 60], 'representative': 1290, 'size': 2}
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id: 50488881
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 228, 'group_counter': 10766179, 'group_order': 1536, 'label': '24J-5', 'order': 24, 'powers': [106, 59], 'representative': 262, 'size': 2}
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id: 50488882
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 229, 'group_counter': 10766179, 'group_order': 1536, 'label': '24J7', 'order': 24, 'powers': [106, 58], 'representative': 322, 'size': 2}
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id: 50488884
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 230, 'group_counter': 10766179, 'group_order': 1536, 'label': '24J-7', 'order': 24, 'powers': [105, 57], 'representative': 1282, 'size': 2}
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id: 50488885
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 231, 'group_counter': 10766179, 'group_order': 1536, 'label': '24J11', 'order': 24, 'powers': [108, 59], 'representative': 74, 'size': 2}
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id: 50488886
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 232, 'group_counter': 10766179, 'group_order': 1536, 'label': '24J-11', 'order': 24, 'powers': [107, 60], 'representative': 266, 'size': 2}
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id: 50488887
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 233, 'group_counter': 10766179, 'group_order': 1536, 'label': '24K1', 'order': 24, 'powers': [109, 61], 'representative': 130, 'size': 2}
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id: 50488888
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 234, 'group_counter': 10766179, 'group_order': 1536, 'label': '24K-1', 'order': 24, 'powers': [110, 62], 'representative': 1474, 'size': 2}
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id: 50488889
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 235, 'group_counter': 10766179, 'group_order': 1536, 'label': '24K5', 'order': 24, 'powers': [111, 64], 'representative': 650, 'size': 2}
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id: 50488890
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 236, 'group_counter': 10766179, 'group_order': 1536, 'label': '24K-5', 'order': 24, 'powers': [112, 63], 'representative': 902, 'size': 2}
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id: 50488891
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 237, 'group_counter': 10766179, 'group_order': 1536, 'label': '24K7', 'order': 24, 'powers': [112, 62], 'representative': 450, 'size': 2}
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id: 50488892
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 238, 'group_counter': 10766179, 'group_order': 1536, 'label': '24K-7', 'order': 24, 'powers': [111, 61], 'representative': 642, 'size': 2}
-
id: 50488893
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 239, 'group_counter': 10766179, 'group_order': 1536, 'label': '24K11', 'order': 24, 'powers': [110, 63], 'representative': 714, 'size': 2}
-
id: 50488895
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 240, 'group_counter': 10766179, 'group_order': 1536, 'label': '24K-11', 'order': 24, 'powers': [109, 64], 'representative': 138, 'size': 2}
-
id: 50488896
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 241, 'group_counter': 10766179, 'group_order': 1536, 'label': '24L1', 'order': 24, 'powers': [105, 65], 'representative': 530, 'size': 2}
-
id: 50488897
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 242, 'group_counter': 10766179, 'group_order': 1536, 'label': '24L-1', 'order': 24, 'powers': [106, 66], 'representative': 1106, 'size': 2}
-
id: 50488898
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 243, 'group_counter': 10766179, 'group_order': 1536, 'label': '24L5', 'order': 24, 'powers': [107, 68], 'representative': 1050, 'size': 2}
-
id: 50488899
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 244, 'group_counter': 10766179, 'group_order': 1536, 'label': '24L-5', 'order': 24, 'powers': [108, 67], 'representative': 534, 'size': 2}
-
id: 50488900
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 245, 'group_counter': 10766179, 'group_order': 1536, 'label': '24L7', 'order': 24, 'powers': [108, 66], 'representative': 82, 'size': 2}
-
id: 50488901
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 246, 'group_counter': 10766179, 'group_order': 1536, 'label': '24L-7', 'order': 24, 'powers': [107, 65], 'representative': 1042, 'size': 2}
-
id: 50488902
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 247, 'group_counter': 10766179, 'group_order': 1536, 'label': '24L11', 'order': 24, 'powers': [106, 67], 'representative': 1046, 'size': 2}
-
id: 50488903
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 248, 'group_counter': 10766179, 'group_order': 1536, 'label': '24L-11', 'order': 24, 'powers': [105, 68], 'representative': 538, 'size': 2}
-
id: 50488904
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 249, 'group_counter': 10766179, 'group_order': 1536, 'label': '24M1', 'order': 24, 'powers': [107, 69], 'representative': 274, 'size': 2}
-
id: 50488906
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 250, 'group_counter': 10766179, 'group_order': 1536, 'label': '24M-1', 'order': 24, 'powers': [108, 70], 'representative': 850, 'size': 2}
-
id: 50488907
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 251, 'group_counter': 10766179, 'group_order': 1536, 'label': '24M5', 'order': 24, 'powers': [105, 72], 'representative': 1306, 'size': 2}
-
id: 50488908
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 252, 'group_counter': 10766179, 'group_order': 1536, 'label': '24M-5', 'order': 24, 'powers': [106, 71], 'representative': 278, 'size': 2}
-
id: 50488909
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 253, 'group_counter': 10766179, 'group_order': 1536, 'label': '24M7', 'order': 24, 'powers': [106, 70], 'representative': 338, 'size': 2}
-
id: 50488910
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 254, 'group_counter': 10766179, 'group_order': 1536, 'label': '24M-7', 'order': 24, 'powers': [105, 69], 'representative': 1298, 'size': 2}
-
id: 50488911
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 255, 'group_counter': 10766179, 'group_order': 1536, 'label': '24M11', 'order': 24, 'powers': [108, 71], 'representative': 90, 'size': 2}
-
id: 50488912
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 256, 'group_counter': 10766179, 'group_order': 1536, 'label': '24M-11', 'order': 24, 'powers': [107, 72], 'representative': 282, 'size': 2}
-
id: 50488913
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 257, 'group_counter': 10766179, 'group_order': 1536, 'label': '24N1', 'order': 24, 'powers': [109, 73], 'representative': 146, 'size': 2}
-
id: 50488914
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 258, 'group_counter': 10766179, 'group_order': 1536, 'label': '24N-1', 'order': 24, 'powers': [110, 74], 'representative': 1490, 'size': 2}
-
id: 50488915
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 259, 'group_counter': 10766179, 'group_order': 1536, 'label': '24N5', 'order': 24, 'powers': [111, 76], 'representative': 666, 'size': 2}
-
id: 50488917
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 260, 'group_counter': 10766179, 'group_order': 1536, 'label': '24N-5', 'order': 24, 'powers': [112, 75], 'representative': 918, 'size': 2}
-
id: 50488918
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 261, 'group_counter': 10766179, 'group_order': 1536, 'label': '24N7', 'order': 24, 'powers': [112, 74], 'representative': 466, 'size': 2}
-
id: 50488919
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 262, 'group_counter': 10766179, 'group_order': 1536, 'label': '24N-7', 'order': 24, 'powers': [111, 73], 'representative': 658, 'size': 2}
-
id: 50488920
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 263, 'group_counter': 10766179, 'group_order': 1536, 'label': '24N11', 'order': 24, 'powers': [110, 75], 'representative': 730, 'size': 2}
-
id: 50488921
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 264, 'group_counter': 10766179, 'group_order': 1536, 'label': '24N-11', 'order': 24, 'powers': [109, 76], 'representative': 154, 'size': 2}
-
id: 50488922
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 265, 'group_counter': 10766179, 'group_order': 1536, 'label': '24O1', 'order': 24, 'powers': [112, 77], 'representative': 134, 'size': 2}
-
id: 50488923
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 266, 'group_counter': 10766179, 'group_order': 1536, 'label': '24O-1', 'order': 24, 'powers': [111, 78], 'representative': 1094, 'size': 2}
-
id: 50488924
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 267, 'group_counter': 10766179, 'group_order': 1536, 'label': '24O5', 'order': 24, 'powers': [110, 80], 'representative': 706, 'size': 2}
-
id: 50488925
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 268, 'group_counter': 10766179, 'group_order': 1536, 'label': '24O-5', 'order': 24, 'powers': [109, 79], 'representative': 898, 'size': 2}
-
id: 50488926
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 269, 'group_counter': 10766179, 'group_order': 1536, 'label': '24O7', 'order': 24, 'powers': [109, 78], 'representative': 70, 'size': 2}
-
id: 50488928
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 270, 'group_counter': 10766179, 'group_order': 1536, 'label': '24O-7', 'order': 24, 'powers': [110, 77], 'representative': 646, 'size': 2}
-
id: 50488929
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 271, 'group_counter': 10766179, 'group_order': 1536, 'label': '24O11', 'order': 24, 'powers': [111, 79], 'representative': 1410, 'size': 2}
-
id: 50488930
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 272, 'group_counter': 10766179, 'group_order': 1536, 'label': '24O-11', 'order': 24, 'powers': [112, 80], 'representative': 142, 'size': 2}
-
id: 50488931
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 273, 'group_counter': 10766179, 'group_order': 1536, 'label': '24P1', 'order': 24, 'powers': [112, 81], 'representative': 150, 'size': 2}
-
id: 50488932
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 274, 'group_counter': 10766179, 'group_order': 1536, 'label': '24P-1', 'order': 24, 'powers': [111, 82], 'representative': 1110, 'size': 2}
-
id: 50488933
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 275, 'group_counter': 10766179, 'group_order': 1536, 'label': '24P5', 'order': 24, 'powers': [110, 84], 'representative': 722, 'size': 2}
-
id: 50488934
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 276, 'group_counter': 10766179, 'group_order': 1536, 'label': '24P-5', 'order': 24, 'powers': [109, 83], 'representative': 914, 'size': 2}
-
id: 50488935
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 277, 'group_counter': 10766179, 'group_order': 1536, 'label': '24P7', 'order': 24, 'powers': [109, 82], 'representative': 86, 'size': 2}
-
id: 50488936
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 278, 'group_counter': 10766179, 'group_order': 1536, 'label': '24P-7', 'order': 24, 'powers': [110, 81], 'representative': 662, 'size': 2}
-
id: 50488937
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 279, 'group_counter': 10766179, 'group_order': 1536, 'label': '24P11', 'order': 24, 'powers': [111, 83], 'representative': 1426, 'size': 2}
-
id: 50488939
{'aut_label': '24I1', 'centralizer': '2.f1.a1', 'counter': 280, 'group_counter': 10766179, 'group_order': 1536, 'label': '24P-11', 'order': 24, 'powers': [112, 84], 'representative': 158, 'size': 2}
-
id: 50488940
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 281, 'group_counter': 10766179, 'group_order': 1536, 'label': '48A1', 'order': 48, 'powers': [201, 113], 'representative': 32, 'size': 2}
-
id: 50488941
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 282, 'group_counter': 10766179, 'group_order': 1536, 'label': '48A-1', 'order': 48, 'powers': [202, 114], 'representative': 1504, 'size': 2}
-
id: 50488942
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 283, 'group_counter': 10766179, 'group_order': 1536, 'label': '48A5', 'order': 48, 'powers': [203, 117], 'representative': 160, 'size': 2}
-
id: 50488943
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 284, 'group_counter': 10766179, 'group_order': 1536, 'label': '48A-5', 'order': 48, 'powers': [204, 118], 'representative': 368, 'size': 2}
-
id: 50488944
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 285, 'group_counter': 10766179, 'group_order': 1536, 'label': '48A7', 'order': 48, 'powers': [202, 119], 'representative': 224, 'size': 2}
-
id: 50488945
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 286, 'group_counter': 10766179, 'group_order': 1536, 'label': '48A-7', 'order': 48, 'powers': [201, 120], 'representative': 1312, 'size': 2}
-
id: 50488946
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 287, 'group_counter': 10766179, 'group_order': 1536, 'label': '48A11', 'order': 48, 'powers': [204, 118], 'representative': 352, 'size': 2}
-
id: 50488947
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 288, 'group_counter': 10766179, 'group_order': 1536, 'label': '48A-11', 'order': 48, 'powers': [203, 117], 'representative': 176, 'size': 2}
-
id: 50488948
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 289, 'group_counter': 10766179, 'group_order': 1536, 'label': '48A13', 'order': 48, 'powers': [203, 116], 'representative': 416, 'size': 2}
-
id: 50488950
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 290, 'group_counter': 10766179, 'group_order': 1536, 'label': '48A-13', 'order': 48, 'powers': [204, 115], 'representative': 1120, 'size': 2}
-
id: 50488951
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 291, 'group_counter': 10766179, 'group_order': 1536, 'label': '48A17', 'order': 48, 'powers': [201, 113], 'representative': 544, 'size': 2}
-
id: 50488952
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 292, 'group_counter': 10766179, 'group_order': 1536, 'label': '48A-17', 'order': 48, 'powers': [202, 114], 'representative': 992, 'size': 2}
-
id: 50488953
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 293, 'group_counter': 10766179, 'group_order': 1536, 'label': '48A19', 'order': 48, 'powers': [204, 115], 'representative': 608, 'size': 2}
-
id: 50488954
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 294, 'group_counter': 10766179, 'group_order': 1536, 'label': '48A-19', 'order': 48, 'powers': [203, 116], 'representative': 928, 'size': 2}
-
id: 50488955
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 295, 'group_counter': 10766179, 'group_order': 1536, 'label': '48A23', 'order': 48, 'powers': [202, 119], 'representative': 736, 'size': 2}
-
id: 50488956
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 296, 'group_counter': 10766179, 'group_order': 1536, 'label': '48A-23', 'order': 48, 'powers': [201, 120], 'representative': 800, 'size': 2}
-
id: 50488957
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 297, 'group_counter': 10766179, 'group_order': 1536, 'label': '48B1', 'order': 48, 'powers': [201, 121], 'representative': 40, 'size': 2}
-
id: 50488958
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 298, 'group_counter': 10766179, 'group_order': 1536, 'label': '48B-1', 'order': 48, 'powers': [202, 122], 'representative': 248, 'size': 2}
-
id: 50488959
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 299, 'group_counter': 10766179, 'group_order': 1536, 'label': '48B5', 'order': 48, 'powers': [203, 125], 'representative': 168, 'size': 2}
-
id: 50488962
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 300, 'group_counter': 10766179, 'group_order': 1536, 'label': '48B-5', 'order': 48, 'powers': [204, 126], 'representative': 1384, 'size': 2}
-
id: 50488963
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 301, 'group_counter': 10766179, 'group_order': 1536, 'label': '48B7', 'order': 48, 'powers': [202, 127], 'representative': 232, 'size': 2}
-
id: 50488964
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 302, 'group_counter': 10766179, 'group_order': 1536, 'label': '48B-7', 'order': 48, 'powers': [201, 128], 'representative': 56, 'size': 2}
-
id: 50488965
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 303, 'group_counter': 10766179, 'group_order': 1536, 'label': '48B11', 'order': 48, 'powers': [204, 126], 'representative': 360, 'size': 2}
-
id: 50488966
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 304, 'group_counter': 10766179, 'group_order': 1536, 'label': '48B-11', 'order': 48, 'powers': [203, 125], 'representative': 1192, 'size': 2}
-
id: 50488967
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 305, 'group_counter': 10766179, 'group_order': 1536, 'label': '48B13', 'order': 48, 'powers': [203, 124], 'representative': 424, 'size': 2}
-
id: 50488968
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 306, 'group_counter': 10766179, 'group_order': 1536, 'label': '48B-13', 'order': 48, 'powers': [204, 123], 'representative': 1128, 'size': 2}
-
id: 50488969
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 307, 'group_counter': 10766179, 'group_order': 1536, 'label': '48B17', 'order': 48, 'powers': [201, 121], 'representative': 552, 'size': 2}
-
id: 50488970
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 308, 'group_counter': 10766179, 'group_order': 1536, 'label': '48B-17', 'order': 48, 'powers': [202, 122], 'representative': 1000, 'size': 2}
-
id: 50488971
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 309, 'group_counter': 10766179, 'group_order': 1536, 'label': '48B19', 'order': 48, 'powers': [204, 123], 'representative': 616, 'size': 2}
-
id: 50488973
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 310, 'group_counter': 10766179, 'group_order': 1536, 'label': '48B-19', 'order': 48, 'powers': [203, 124], 'representative': 936, 'size': 2}
-
id: 50488974
{'aut_label': '48A1', 'centralizer': '2.f1.a1', 'counter': 311, 'group_counter': 10766179, 'group_order': 1536, 'label': '48B23', 'order': 48, 'powers': [202, 127], 'representative': 744, 'size': 2}
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id: 50488977
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id: 50488978
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id: 50488979
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id: 50488980
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id: 50488981
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id: 50488982
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id: 50488984
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id: 50488985
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id: 50488986
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id: 50488987
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id: 50488988
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id: 50488989
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id: 50488990
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id: 50488991
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id: 50488992
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id: 50488993
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id: 50488995
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id: 50488996
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id: 50488997
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id: 50488998
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id: 50488999
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id: 50489000
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id: 50489001
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id: 50489002
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id: 50489003
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id: 50489004
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id: 50489006
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id: 50489007
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id: 50489008
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id: 50489009
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id: 50489010
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id: 50489011
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id: 50489012
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id: 50489013
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id: 50489014
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id: 50489015
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id: 50489017
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id: 50489018
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id: 50489019
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id: 50489020
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id: 50489021
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id: 50489022
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id: 50489023
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id: 50489024
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id: 50489025
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id: 50489026
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id: 50489028
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id: 50489029
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id: 50489030
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id: 50489031
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id: 50489032
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id: 50489033
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id: 50489034
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id: 50489035
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id: 50489036
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id: 50489037
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id: 50489039
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id: 50489040
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id: 50489041
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id: 50489042
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id: 50489043
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id: 50489044
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id: 50489045
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id: 50489046
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id: 50489047
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id: 50489050
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id: 50489051
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id: 50489052
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id: 50489053
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id: 50489054
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id: 50489055
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id: 50489056
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id: 50489057
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id: 50489058
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id: 50489059
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id: 50489061
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id: 50489062
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id: 50489063
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id: 50489064
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id: 50489065
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id: 50489066
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id: 50489067
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id: 50489068
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id: 50489069
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id: 50489070
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id: 50489073
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-
id: 50489074
{'aut_label': '48G1', 'centralizer': '2.f1.a1', 'counter': 401, 'group_counter': 10766179, 'group_order': 1536, 'label': '48H13', 'order': 48, 'powers': [216, 172], 'representative': 566, 'size': 2}
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id: 50489075
{'aut_label': '48G1', 'centralizer': '2.f1.a1', 'counter': 402, 'group_counter': 10766179, 'group_order': 1536, 'label': '48H-13', 'order': 48, 'powers': [215, 171], 'representative': 166, 'size': 2}
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id: 50489076
{'aut_label': '48G1', 'centralizer': '2.f1.a1', 'counter': 403, 'group_counter': 10766179, 'group_order': 1536, 'label': '48H17', 'order': 48, 'powers': [214, 169], 'representative': 738, 'size': 2}
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id: 50489077
{'aut_label': '48G1', 'centralizer': '2.f1.a1', 'counter': 404, 'group_counter': 10766179, 'group_order': 1536, 'label': '48H-17', 'order': 48, 'powers': [213, 170], 'representative': 370, 'size': 2}
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id: 50489078
{'aut_label': '48G1', 'centralizer': '2.f1.a1', 'counter': 405, 'group_counter': 10766179, 'group_order': 1536, 'label': '48H19', 'order': 48, 'powers': [214, 171], 'representative': 1190, 'size': 2}
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id: 50489079
{'aut_label': '48G1', 'centralizer': '2.f1.a1', 'counter': 406, 'group_counter': 10766179, 'group_order': 1536, 'label': '48H-19', 'order': 48, 'powers': [213, 172], 'representative': 54, 'size': 2}
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id: 50489080
{'aut_label': '48G1', 'centralizer': '2.f1.a1', 'counter': 407, 'group_counter': 10766179, 'group_order': 1536, 'label': '48H23', 'order': 48, 'powers': [216, 175], 'representative': 626, 'size': 2}
-
id: 50489081
{'aut_label': '48G1', 'centralizer': '2.f1.a1', 'counter': 408, 'group_counter': 10766179, 'group_order': 1536, 'label': '48H-23', 'order': 48, 'powers': [215, 176], 'representative': 994, 'size': 2}
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gps_qchar • Show schema
Hide schema
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id: 128510
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 128521
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1], 'schur_index': 1}
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id: 128532
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 128543
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1], 'schur_index': 1}
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id: 128554
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
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id: 128565
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1], 'schur_index': 1}
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id: 128576
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
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id: 128587
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1], 'schur_index': 1}
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id: 128593
{'cdim': 1, 'counter': 9, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.1i', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 2, -2, 0, -2, -2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 0, 0, 0, 0, -2, 2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 0, -2, -2, 0, -2, -2, 2, 2, 2, 0, 0, 2, -2, 0, 0, 0, 0, 2, -2, 2, 0, -2, 2, 2, -2, 0, -2, 2, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 2, -2, -2, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, -2, 0, 0, 2, 0, 0, -2, 0, 2, -2, 0, 0, 2, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, -2, 2, 0, 2, 0, 0, 0, -2, 2, -2, 0, 0, -2, -2, -2, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, -2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, -2, 2, 0, -2, 2, 0, 2, 0, 0, 2, 2, -2, 0, -2, -2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 2, -2, -2, 2, 2, -2, 2, -2, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, -2, -2, -2, 0, 0, -2, 2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2], 'schur_index': 1}
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id: 128511
{'cdim': 1, 'counter': 10, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.1j', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 2, -2, 0, -2, -2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 2, -2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 2, 2, 0, 2, 2, -2, -2, -2, 0, 0, -2, 2, 0, 0, 0, 0, -2, 2, -2, 0, 2, -2, -2, 2, 0, 2, -2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 2, -2, -2, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, -2, 0, 0, 2, 0, 0, -2, 0, 2, -2, 0, 0, 2, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 2, -2, 0, -2, 0, 0, 0, 2, -2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, -2, -2, -2, 0, 2, -2, -2, 0, 0, -2, 0, -2, -2, 0, 0, 2, -2, 0, 2, -2, 0, -2, 0, 0, -2, -2, 2, 0, 2, 2, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, 2, 2, -2, -2, 2, -2, 2, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, 2, 2, 2, 0, 0, 2, -2, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 2], 'schur_index': 1}
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id: 128512
{'cdim': 1, 'counter': 11, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 2, -2, 0, -2, -2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 2, -2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 2, 2, 0, 2, 2, -2, -2, -2, 0, 0, -2, 2, 0, 0, 0, 0, -2, 2, -2, 0, 2, -2, -2, 2, 0, 2, -2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 2, -2, -2, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, -2, 0, 0, 2, 0, 0, -2, 0, 2, -2, 0, 0, 2, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 2, -2, 0, -2, 0, 0, 0, 2, -2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, -2, -2, -2, 0, 2, -2, -2, 0, 0, -2, 0, -2, -2, 0, 0, 2, -2, 0, 2, -2, 0, -2, 0, 0, -2, -2, 2, 0, 2, 2, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, 2, 2, -2, -2, 2, -2, 2, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, 2, 2, 2, 0, 0, 2, -2, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 2], 'schur_index': 1}
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id: 128513
{'cdim': 1, 'counter': 12, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.1l', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 2, -2, 0, -2, -2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 0, 0, 0, 0, -2, 2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 0, -2, -2, 0, -2, -2, 2, 2, 2, 0, 0, 2, -2, 0, 0, 0, 0, 2, -2, 2, 0, -2, 2, 2, -2, 0, -2, 2, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 2, -2, -2, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, -2, 0, 0, 2, 0, 0, -2, 0, 2, -2, 0, 0, 2, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, -2, 2, 0, 2, 0, 0, 0, -2, 2, -2, 0, 0, -2, -2, -2, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, -2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, -2, 2, 0, -2, 2, 0, 2, 0, 0, 2, 2, -2, 0, -2, -2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 2, -2, -2, 2, 2, -2, 2, -2, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, -2, -2, -2, 0, 0, -2, 2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2], 'schur_index': 1}
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id: 128518
{'cdim': 2, 'counter': 17, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 0, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
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id: 128519
{'cdim': 2, 'counter': 18, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, 2, 0, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 0, 0, 0, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, 0, 0, 0, 0, 2, -2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 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, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 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, 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], 'schur_index': 1}
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id: 128520
{'cdim': 2, 'counter': 19, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, 2, 0, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 0, 0, 0, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 2, -2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 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, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, -2, 2, 2, 2, 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, 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], 'schur_index': 1}
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id: 128522
{'cdim': 2, 'counter': 20, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2d', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, -2, 2, 0, 2, 2, -2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, -2, -2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, -2, 2, 2, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 2, 0, 0, -2, 0, 0, 2, 0, -2, 2, 0, 0, -2, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 2, -2, -2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, -2, 0, -2, 2, -2, 0, 2, 2, -2, -2, 0, 2, 2, -2, 0, -2, 2, -2, 0, 0, 0, 2, 0, 0, 0, -2, 2, 0, 2, 0, 0, 2, -2, 0, 0, -2, 0, 0, -2, 0, 2, 2, 0, 0, 0, 2, 0, 0, -2, 0, -2, -2, -2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, -2, 0, -2, 2, -2, 2, 2, -2, -2, -2, -2, 0, -2, 0, 0], 'schur_index': 1}
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id: 128523
{'cdim': 2, 'counter': 21, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2e', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, -2, 2, 0, 2, 2, -2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -2, -2, 0, 0, 2, 2, 2, -2, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, -2, 2, 2, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 2, 0, 0, -2, 0, 0, 2, 0, -2, 2, 0, 0, -2, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, -2, 2, 2, 0, 0, 0, -2, -2, 0, 0, 0, -2, -2, -2, 0, 0, 2, 0, 2, -2, 2, 0, -2, -2, 2, 2, 0, -2, -2, 2, 0, 2, -2, 2, 0, 0, 0, -2, 0, 0, 0, 2, -2, 0, -2, 0, 0, -2, 2, 0, 0, 2, 0, 0, 2, 0, -2, -2, 0, 0, 0, -2, 0, 0, 2, 0, 2, 2, 2, -2, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 2, 0, 2, -2, 2, -2, -2, 2, 2, 2, 2, 0, 2, 0, 0], 'schur_index': 1}
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id: 128524
{'cdim': 2, 'counter': 22, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2f', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 0, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1], 'schur_index': 1}
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id: 128525
{'cdim': 2, 'counter': 23, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2g', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 0, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1], 'schur_index': 1}
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id: 128526
{'cdim': 2, 'counter': 24, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2h', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 0, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 128514
{'cdim': 1, 'counter': 13, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.1m', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, -4, 4, -4, -4, -4, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, 4, -4, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 0, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 4, 4, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 0, -4, 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, 4, 0, 0, 0, 4, -4, 4, 0, 0, -4, 4, 0, 0, -4, 0, 4, -4, 0, 0, 0, 4, 0, 0, -4, 0, -4, 0, 0, 4, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 4, 4, 0, -4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0], 'schur_index': 1}
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id: 128515
{'cdim': 1, 'counter': 14, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.1n', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, -4, 4, -4, -4, -4, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -4, 4, -4, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 0, 0, 0, 0, 0, -4, 4, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, -4, -4, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, -4, 0, -4, 0, 0, 0, 0, 4, 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, -4, 0, 0, 0, -4, 4, -4, 0, 0, 4, -4, 0, 0, 4, 0, -4, 4, 0, 0, 0, -4, 0, 0, 4, 0, 4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, -4, -4, 0, 4, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0], 'schur_index': 1}
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id: 128516
{'cdim': 1, 'counter': 15, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.1o', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, -4, -4, -4, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 4, 4, -4, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 0, 0, 0, 0, 0, -4, 4, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, -4, -4, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, -4, 0, -4, 0, 0, 0, 0, 4, 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, -4, 0, 0, 0, -4, 4, -4, 0, 0, 4, -4, 0, 0, 4, 0, -4, 4, 0, 0, 0, -4, 0, 0, 4, 0, 4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, -4, -4, 0, 4, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0], 'schur_index': 1}
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id: 128517
{'cdim': 1, 'counter': 16, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.1p', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, -4, -4, -4, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, 4, -4, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 0, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 4, 4, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 0, -4, 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, 4, 0, 0, 0, 4, -4, 4, 0, 0, -4, 4, 0, 0, -4, 0, 4, -4, 0, 0, 0, 4, 0, 0, -4, 0, -4, 0, 0, 4, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 4, 4, 0, -4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0], 'schur_index': 1}
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id: 128527
{'cdim': 2, 'counter': 25, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2i', 'multiplicity': 2, 'nt': [8, 6], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 0, 4, 4, 4, 4, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, -4, 4, -4, 4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, -4, 0, -4, -4, 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, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 4, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 0, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, -4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, -4, -4, 4, 0, 0, 0, 0, 0, -4, 0, 0, -4, 4, 0, 0, 0, -4, -4, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 128528
{'cdim': 2, 'counter': 26, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2j', 'multiplicity': 2, 'nt': [8, 6], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 0, 4, 4, 4, 4, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, -4, 4, -4, 4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, -4, 0, -4, -4, 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, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 4, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 0, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, -4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 4, 4, -4, 0, 0, 0, 0, 0, 4, 0, 0, 4, -4, 0, 0, 0, 4, 4, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 128529
{'cdim': 2, 'counter': 27, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2k', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 0, 4, 4, 4, -4, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, -4, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, -4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 0, 0, 0, 0, -4, 0, 0, 4, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 4, 0, -4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, -4, 0, -4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 4, 4, -4, 0, 0, 0, 4, -4, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, -4, 0, 0, -4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 0, 4, -4, -4, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4], 'schur_index': 1}
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id: 128530
{'cdim': 2, 'counter': 28, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2l', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 0, 4, 4, 4, -4, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, -4, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, -4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 0, 0, 0, 0, 4, 0, 0, -4, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, -4, 0, 4, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, -4, -4, 4, 0, 0, 0, -4, 4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 4, 0, 0, 4, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 0, -4, 4, 4, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4], 'schur_index': 1}
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id: 128531
{'cdim': 2, 'counter': 29, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2m', 'multiplicity': 2, 'nt': [8, 8], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 0, 4, -4, -4, 4, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, -4, 4, 4, -4, -4, 4, 4, 4, 4, -4, -4, -4, -4, 4, 0, 0, 4, 0, -4, -4, 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, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, -4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, -4, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, -4, 0, 0, 0, 4, 4, 0, 0, 0, -4, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, -4, 0, 4, 0, 0, -4, -4, -4, -4, 0, -4, 0, 0], 'schur_index': 1}
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id: 128533
{'cdim': 2, 'counter': 30, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2n', 'multiplicity': 2, 'nt': [8, 8], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 0, 4, -4, -4, 4, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, -4, 4, 4, -4, -4, 4, 4, 4, 4, -4, -4, -4, -4, 4, 0, 0, 4, 0, -4, -4, 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, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, 4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, -4, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 4, 0, 0, 0, -4, -4, 0, 0, 0, 4, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 4, 0, -4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0], 'schur_index': 1}
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id: 128534
{'cdim': 2, 'counter': 31, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2o', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, 4, 0, 4, -4, -4, 4, 4, -4, 4, 4, 4, 4, -4, 4, -4, -4, -4, 0, 0, 0, -4, 4, 4, -4, -4, 4, -4, -4, -4, -4, 4, 4, 4, 4, -4, 0, 4, 4, 0, -4, -4, 4, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, 4, 4, -4, 4, -4, -4, 4, 4, -4, 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, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, -4, -4, -4, 4, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, -4, 4, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 4, 0, -4, 4, 0, 0, 0, 4, 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, 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, 0, 0, 0, 0], 'schur_index': 1}
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id: 128535
{'cdim': 2, 'counter': 32, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2p', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, 4, 0, 4, -4, -4, 4, 4, -4, 4, 4, 4, 4, -4, 4, -4, -4, -4, 0, 0, 0, -4, 4, 4, -4, -4, 4, -4, 4, 4, 4, -4, -4, -4, -4, 4, 0, -4, -4, 0, 4, 4, -4, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, 4, 4, -4, 4, -4, -4, 4, 4, -4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 4, 4, 4, -4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 4, -4, 0, -4, 0, 0, -4, 0, 0, -4, 0, -4, -4, 0, 0, -4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, -4, 0, 4, -4, 0, 0, 0, -4, 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, 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, 0, 0, 0, 0], 'schur_index': 1}
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id: 128536
{'cdim': 2, 'counter': 33, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2q', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, 4, 0, 4, -4, -4, 4, 4, 4, 4, -4, -4, -4, 4, -4, 4, 4, -4, 0, 0, 0, -4, 4, 4, -4, -4, 4, -4, 4, 4, 4, -4, -4, -4, -4, 4, 0, 4, -4, 0, 4, 4, 4, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 4, -4, -4, 4, 4, -4, -4, -4, 4, -4, -4, 4, -4, 4, 4, -4, -4, 4, -4, 4, 4, 4, 4, -4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, -4, 4, 4, -4, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, -4, 4, 0, -4, 0, 0, 4, 0, 0, -4, 0, 4, -4, 0, 0, 4, 0, 0, 0, 0, 4, -4, -4, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 4, 0, 4, -4, 0, 0, 0, 4, 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, 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, 0, 0, 0, 0], 'schur_index': 1}
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id: 128537
{'cdim': 2, 'counter': 34, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2r', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, 0, -4, -4, 0, -4, -4, -4, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, -4, -4, -4, -4, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, -4, -4, 0, -4, 0, 0, -4, 0, 0, -4, 0, -4, -4, 0, 0, -4, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, -4, 0, -4, -4, 0, 0, 0, -4, 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, 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, 0, 0, 0, 0], 'schur_index': 1}
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id: 128538
{'cdim': 2, 'counter': 35, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2s', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 0, -2, 4, 4, 4, 4, -4, 4, -4, -4, -4, -4, -4, -4, -4, 4, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, 0, 4, -4, 0, -4, -4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 0, 0, 0, 0, -4, 4, 4, -4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 0, -4, -4, 0, -4, -4, 4, 4, 4, 0, 0, 4, -4, 0, 0, 0, 0, 4, -4, 4, 0, -4, 4, 4, -4, 0, -4, 4, -4, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, -2, 2, 2, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 2, 0, 0, -2, 0, 0, 2, 0, -2, 2, 0, 0, -2, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 2, -2, 0, -2, 0, 0, 0, 2, -2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, -2, -2, -2, 0, 2, -2, -2, 0, 0, -2, 0, -2, -2, 0, 0, 2, -2, 0, 2, -2, 0, -2, 0, 0, -2, -2, 2, 0, 2, 2, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, 2, 2, -2, -2, 2, -2, 2, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, 2, 2, 2, 0, 0, 2, -2, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 2], 'schur_index': 1}
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id: 128539
{'cdim': 2, 'counter': 36, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2t', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 0, -2, 4, 4, 4, 4, -4, 4, -4, -4, -4, -4, -4, -4, -4, 4, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, 0, 4, -4, 0, -4, -4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 0, 0, 0, 0, 4, -4, -4, 4, 4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 0, 4, 4, 0, 4, 4, -4, -4, -4, 0, 0, -4, 4, 0, 0, 0, 0, -4, 4, -4, 0, 4, -4, -4, 4, 0, 4, -4, 4, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, -2, 2, 2, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 2, 0, 0, -2, 0, 0, 2, 0, -2, 2, 0, 0, -2, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, -2, 2, 0, 2, 0, 0, 0, -2, 2, -2, 0, 0, -2, -2, -2, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, -2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, -2, 2, 0, -2, 2, 0, 2, 0, 0, 2, 2, -2, 0, -2, -2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 2, -2, -2, 2, 2, -2, 2, -2, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, -2, -2, -2, 0, 0, -2, 2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2], 'schur_index': 1}
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id: 128540
{'cdim': 2, 'counter': 37, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2u', 'multiplicity': 2, 'nt': [12, 12], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 0, -2, 4, 4, 4, 4, -4, 4, -4, -4, -4, -4, -4, -4, -4, 4, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, 4, 4, 4, 4, 0, -4, 4, 0, 4, 4, -4, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, -4, -4, -4, 4, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 2, -2, -2, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, -2, 0, 0, 2, 0, 0, -2, 0, 2, -2, 0, 0, 2, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, -2, 2, 2, 0, 0, 0, -2, -2, 0, 0, 0, -2, -2, -2, 0, 0, 2, 0, 2, -2, 2, 0, -2, -2, 2, 2, 0, -2, -2, 2, 0, 2, -2, 2, 0, 0, 0, -2, 0, 0, 0, 2, -2, 0, -2, 0, 0, -2, 2, 0, 0, 2, 0, 0, 2, 0, -2, -2, 0, 0, 0, -2, 0, 0, 2, 0, 2, 2, 2, -2, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 2, 0, 2, -2, 2, -2, -2, 2, 2, 2, 2, 0, 2, 0, 0], 'schur_index': 1}
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id: 128546
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id: 128563
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id: 128564
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id: 128566
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id: 128567
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id: 128581
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id: 128585
{'cdim': 2, 'counter': 78, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2bj', 'multiplicity': 16, 'nt': [96, 0], 'qdim': 32, 'qvalues': [32, -32, 32, -32, 0, 0, 0, -16, 0, 0, 0, 0, -16, 0, 16, -16, -16, -16, 16, 16, 16, 0, 0, 0, 0, 16, 0, 16, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, -16, -16, 0, 16, -16, 16, 0, 16, -16, -16, 0, 16, -16, 16, 0, -16, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 8, -8, -8, 8, -8, 0, 8, -8, 0, 0, 8, 8, 8, -8, -8, 8, -8, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, -8, -8, 0, -8, 0, 8, 8, 0, 0, 0, -8, 0, 8, 8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -8, 0, 0, -8, 0, 8, 0, 0, 0, 0, 0, 0, -8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, -8, 0, 0, 8, 0, 0, -8, -8, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 8, 8, 0, -8, 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, 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], 'schur_index': 1}
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id: 128586
{'cdim': 2, 'counter': 79, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2bk', 'multiplicity': 16, 'nt': [96, 0], 'qdim': 32, 'qvalues': [32, -32, 32, -32, 0, 0, 0, -16, 0, 0, 0, 0, 16, 0, -16, 16, 16, 16, -16, -16, -16, 0, 0, 0, 0, 16, 0, 16, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 16, 0, 16, 16, 0, -16, 16, 16, -16, 0, -16, -16, 0, 16, 0, 0, 0, 16, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, -16, 0, 0, 0, 0, 0, 8, 0, 0, -8, 8, 8, -8, 8, 0, -8, 8, 0, 0, -8, -8, -8, 8, 8, -8, 8, -8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, -8, 0, 0, 0, 0, -8, 0, 0, 8, -8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, -8, 8, 0, -8, 0, 0, 8, 0, -8, 8, -8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 8, 0, 0, 0, -8, 8, 0, 0, 8, 0, 8, 0, -8, 0, -8, 8, 0, -8, 0, 0, 0, 0, -8, 0, 0, 0, 8, 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, 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, 0], 'schur_index': 1}
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id: 128588
{'cdim': 2, 'counter': 80, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2bl', 'multiplicity': 16, 'nt': [96, 0], 'qdim': 32, 'qvalues': [32, -32, 32, -32, 0, 0, 0, -16, 0, 0, 0, 0, 16, 0, -16, 16, 16, 16, -16, -16, -16, 0, 0, 0, 0, 16, 0, 16, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 16, 0, -16, 0, -16, -16, 0, 16, -16, -16, 16, 0, 16, 16, 0, -16, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 16, 0, 0, 0, 0, 0, 8, 0, 0, -8, 8, 8, -8, 8, 0, -8, 8, 0, 0, -8, -8, -8, 8, 8, -8, 8, -8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, -8, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 8, -8, 0, 8, 0, 0, -8, 0, 8, -8, 8, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, -8, 0, 0, 0, 8, -8, 0, 0, -8, 0, -8, 0, 8, 0, 8, -8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, -8, 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, 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, 0], 'schur_index': 1}
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id: 128589
{'cdim': 2, 'counter': 81, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2bm', 'multiplicity': 16, 'nt': [96, 0], 'qdim': 32, 'qvalues': [32, 32, -32, -32, 0, 0, 0, -16, 0, 0, 0, 0, -16, 0, -16, 16, 16, -16, -16, 16, 16, 0, 0, 0, 0, -16, 0, 16, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, -16, 0, 16, 16, 16, 0, -16, 16, -16, 0, -16, 16, 16, 0, 16, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 8, -8, 8, -8, 8, 0, -8, 8, 0, 0, 8, 8, -8, 8, -8, -8, -8, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, 8, 8, 0, 8, 0, -8, 8, 0, 0, 0, 8, 0, -8, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -8, 0, 0, -8, 0, 8, 0, 0, 0, 0, 0, 0, -8, 0, 0, -8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, -8, 0, 0, -8, -8, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, -8, 8, 0, 0, -8, 8, 0, -8, 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, 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], 'schur_index': 1}
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id: 128590
{'cdim': 2, 'counter': 82, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2bn', 'multiplicity': 16, 'nt': [96, 0], 'qdim': 32, 'qvalues': [32, 32, -32, -32, 0, 0, 0, -16, 0, 0, 0, 0, -16, 0, -16, 16, 16, -16, -16, 16, 16, 0, 0, 0, 0, -16, 0, 16, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 0, -16, -16, -16, 0, 16, -16, 16, 0, 16, -16, -16, 0, -16, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 8, -8, 8, -8, 8, 0, -8, 8, 0, 0, 8, 8, -8, 8, -8, -8, -8, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, -8, -8, 0, -8, 0, 8, -8, 0, 0, 0, -8, 0, 8, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 8, 0, 0, 8, 0, -8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, -8, 0, 0, 0, 0, -8, 0, 0, -8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 8, -8, 0, 0, 8, -8, 0, 8, 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, 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], 'schur_index': 1}
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id: 128591
{'cdim': 2, 'counter': 83, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2bo', 'multiplicity': 16, 'nt': [96, 0], 'qdim': 32, 'qvalues': [32, 32, -32, -32, 0, 0, 0, -16, 0, 0, 0, 0, 16, 0, 16, -16, -16, 16, 16, -16, -16, 0, 0, 0, 0, -16, 0, 16, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 16, 0, -16, 16, 0, -16, -16, -16, -16, 0, 16, 16, 0, 16, 0, 0, 0, 16, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 16, 0, 0, 0, 0, 0, 8, 0, 0, -8, 8, -8, 8, -8, 0, 8, -8, 0, 0, -8, -8, 8, -8, 8, 8, 8, -8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, -8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 8, -8, 0, 8, 0, 0, 8, 0, -8, -8, -8, 0, -8, 0, 0, 0, 0, 0, 8, 0, 0, -8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 0, 0, -8, 8, 0, 0, 8, 0, -8, 0, 8, 0, 8, -8, 0, -8, 0, 0, 0, 0, -8, 0, 0, 0, 8, 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, 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, 0], 'schur_index': 1}
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id: 128592
{'cdim': 2, 'counter': 84, 'faithful': False, 'group': '1536.10766179', 'group_order': 1536, 'image': None, 'label': '1536.10766179.2bp', 'multiplicity': 16, 'nt': [96, 0], 'qdim': 32, 'qvalues': [32, 32, -32, -32, 0, 0, 0, -16, 0, 0, 0, 0, 16, 0, 16, -16, -16, 16, 16, -16, -16, 0, 0, 0, 0, -16, 0, 16, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -16, 0, -16, 0, 16, -16, 0, 16, 16, 16, 16, 0, -16, -16, 0, -16, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, -16, 0, 0, 0, 0, 0, 8, 0, 0, -8, 8, -8, 8, -8, 0, 8, -8, 0, 0, -8, -8, 8, -8, 8, 8, 8, -8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, -8, 0, 0, 0, 0, -8, 0, 0, -8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, -8, 8, 0, -8, 0, 0, -8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 0, 0, -8, 0, 0, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 0, 8, -8, 0, 0, -8, 0, 8, 0, -8, 0, -8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, -8, 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, 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, 0], 'schur_index': 1}
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id: 150912
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id: 151023
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id: 151134
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id: 151245
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id: 151265
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id: 151276
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id: 151287
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id: 151298
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id: 151309
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id: 150913
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id: 150924
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id: 150935
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id: 150946
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id: 150957
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id: 150968
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id: 150979
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id: 150990
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id: 151001
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id: 151012
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id: 151024
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id: 151035
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id: 151046
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id: 151057
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id: 151068
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id: 151079
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id: 151090
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id: 151101
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id: 151112
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id: 151123
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id: 151135
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id: 151146
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id: 151157
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id: 151168
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id: 151300
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id: 151301
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id: 151302
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id: 151303
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id: 151304
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id: 151305
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id: 151306
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id: 151307
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id: 151308
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id: 151310
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id: 151311
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id: 151312
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id: 151313
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id: 151314
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id: 151315
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id: 151316
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id: 151317
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id: 151318
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id: 151319
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id: 150914
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id: 150915
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id: 150916
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id: 150917
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id: 150918
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id: 150919
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id: 150920
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id: 150921
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id: 150922
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id: 150923
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id: 150925
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id: 150926
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id: 150927
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id: 150928
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id: 150929
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id: 150930
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id: 150931
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id: 150932
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id: 150933
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id: 150934
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id: 150936
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id: 150937
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id: 150938
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id: 150939
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id: 150940
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id: 150941
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id: 150942
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id: 150943
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id: 150944
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id: 150945
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id: 150947
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id: 150948
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id: 150949
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id: 150950
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id: 150951
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id: 150952
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id: 150953
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id: 150954
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id: 150955
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id: 150956
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id: 150958
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id: 150959
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id: 150960
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id: 150961
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id: 150962
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id: 150963
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id: 150964
{'center': '24.c1.a1', 'center_index': 24, 'center_order': 64, 'counter': 146, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 4, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '48.6', 'image_order': 48, 'indicator': 0, 'kernel': '48.g1.a1', 'kernel_order': 32, 'label': '1536.10766179.2aq2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 1], [1, 3], [1, 5]], [[0, 0]], [[2, 0]], [[1, 1], [-1, 3], [-1, 5]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 3], [1, 5]], [[0, 0]], [[1, 1], 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id: 150965
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id: 150966
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id: 150967
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id: 150969
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id: 150970
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id: 150971
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id: 150972
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id: 150973
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id: 150974
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id: 150975
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id: 150976
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id: 150977
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id: 150978
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id: 150980
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id: 150981
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id: 150982
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id: 150983
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id: 150984
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id: 150985
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id: 150986
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id: 150987
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id: 150988
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id: 150989
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id: 150991
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id: 150992
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id: 150993
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id: 150994
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id: 150995
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id: 150996
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id: 150997
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id: 150998
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id: 150999
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id: 151000
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id: 151002
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id: 151003
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id: 151004
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id: 151005
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id: 151006
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id: 151007
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id: 151008
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id: 151009
{'center': '16.e1.a1', 'center_index': 16, 'center_order': 96, 'counter': 187, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '256.5034', 'image_order': 256, 'indicator': 0, 'kernel': '256.a1.a1', 'kernel_order': 6, 'label': '1536.10766179.2aw3', 'nt': [32, 7408], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-1, 0], [-1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[1, 2], [1, 4]], [[1, 2], [1, 6]], [[0, 0]], [[-1, 0], [1, 6]], [[0, 0]], 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id: 151010
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id: 151011
{'center': '16.e1.a1', 'center_index': 16, 'center_order': 96, 'counter': 189, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '256.5034', 'image_order': 256, 'indicator': 0, 'kernel': '256.a1.a1', 'kernel_order': 6, 'label': '1536.10766179.2aw5', 'nt': [32, 7408], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-1, 0], [-1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[2, 6]], [[-2, 6]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 6]], [[0, 0]], [[-1, 0], [-1, 6]], [[0, 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id: 151013
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id: 151014
{'center': '16.e1.a1', 'center_index': 16, 'center_order': 96, 'counter': 191, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '256.5034', 'image_order': 256, 'indicator': 0, 'kernel': '256.a1.a1', 'kernel_order': 6, 'label': '1536.10766179.2aw7', 'nt': [32, 7408], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-1, 0], [-1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[2, 6]], [[-2, 6]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-1, 2], [1, 4]], [[-1, 2], [-1, 6]], [[0, 0]], [[-1, 0], [-1, 6]], [[0, 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id: 151015
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id: 151016
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id: 151017
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id: 151018
{'center': '16.e1.a1', 'center_index': 16, 'center_order': 96, 'counter': 195, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '256.5034', 'image_order': 256, 'indicator': 0, 'kernel': '256.a1.a1', 'kernel_order': 6, 'label': '1536.10766179.2ax3', 'nt': [32, 7408], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-1, 0], [-1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-1, 2], [-1, 4]], [[1, 2], [1, 6]], [[0, 0]], [[1, 0], [-1, 6]], [[0, 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-
id: 151019
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id: 151020
{'center': '16.e1.a1', 'center_index': 16, 'center_order': 96, 'counter': 197, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '256.5034', 'image_order': 256, 'indicator': 0, 'kernel': '256.a1.a1', 'kernel_order': 6, 'label': '1536.10766179.2ax5', 'nt': [32, 7408], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-1, 0], [-1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[2, 6]], [[-2, 6]], [[2, 2]], [[-2, 2]], [[2, 2]], [[1, 2], [-1, 4]], [[-1, 2], [-1, 6]], [[0, 0]], [[1, 0], [1, 6]], [[0, 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-
id: 151021
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-
id: 151022
{'center': '16.e1.a1', 'center_index': 16, 'center_order': 96, 'counter': 199, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '256.5034', 'image_order': 256, 'indicator': 0, 'kernel': '256.a1.a1', 'kernel_order': 6, 'label': '1536.10766179.2ax7', 'nt': [32, 7408], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-1, 0], [-1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[2, 6]], [[-2, 6]], [[2, 2]], [[-2, 2]], [[2, 2]], [[1, 2], [-1, 4]], [[-1, 2], [-1, 6]], [[0, 0]], [[1, 0], [1, 6]], [[0, 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-
id: 151025
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-
id: 151026
{'center': '16.e1.a1', 'center_index': 16, 'center_order': 96, 'counter': 201, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '256.5034', 'image_order': 256, 'indicator': 0, 'kernel': '256.a1.a1', 'kernel_order': 6, 'label': '1536.10766179.2ay1', 'nt': [32, 7408], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 0], [1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-1, 0], [-1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[1, 2], [-1, 4]], [[0, 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-
id: 151027
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id: 151028
{'center': '16.e1.a1', 'center_index': 16, 'center_order': 96, 'counter': 203, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '256.5034', 'image_order': 256, 'indicator': 0, 'kernel': '256.a1.a1', 'kernel_order': 6, 'label': '1536.10766179.2ay3', 'nt': [32, 7408], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 0], [1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-1, 0], [-1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[1, 2], [-1, 4]], [[0, 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-
id: 151029
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id: 151030
{'center': '16.e1.a1', 'center_index': 16, 'center_order': 96, 'counter': 205, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '256.5034', 'image_order': 256, 'indicator': 0, 'kernel': '256.a1.a1', 'kernel_order': 6, 'label': '1536.10766179.2ay5', 'nt': [32, 7408], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 0], [1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[2, 6]], [[-2, 6]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-1, 0], [1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[-1, 2], [-1, 4]], [[0, 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-
id: 151031
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id: 151032
{'center': '16.e1.a1', 'center_index': 16, 'center_order': 96, 'counter': 207, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '256.5034', 'image_order': 256, 'indicator': 0, 'kernel': '256.a1.a1', 'kernel_order': 6, 'label': '1536.10766179.2ay7', 'nt': [32, 7408], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 0], [1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[2, 6]], [[-2, 6]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-1, 0], [1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[-1, 2], [-1, 4]], [[0, 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-
id: 151033
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id: 151034
{'center': '16.e1.a1', 'center_index': 16, 'center_order': 96, 'counter': 209, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '256.5034', 'image_order': 256, 'indicator': 0, 'kernel': '256.a1.a1', 'kernel_order': 6, 'label': '1536.10766179.2az1', 'nt': [32, 7408], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 0], [1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[1, 0], [1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[-1, 2], [1, 4]], [[0, 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-
id: 151036
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id: 151037
{'center': '16.e1.a1', 'center_index': 16, 'center_order': 96, 'counter': 211, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '256.5034', 'image_order': 256, 'indicator': 0, 'kernel': '256.a1.a1', 'kernel_order': 6, 'label': '1536.10766179.2az3', 'nt': [32, 7408], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 0], [1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[1, 0], [1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[-1, 2], [1, 4]], [[0, 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-
id: 151038
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id: 151039
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-
id: 151040
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id: 151041
{'center': '16.e1.a1', 'center_index': 16, 'center_order': 96, 'counter': 215, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '256.5034', 'image_order': 256, 'indicator': 0, 'kernel': '256.a1.a1', 'kernel_order': 6, 'label': '1536.10766179.2az7', 'nt': [32, 7408], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 0], [1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[2, 6]], [[-2, 6]], [[2, 2]], [[-2, 2]], [[2, 2]], [[1, 0], [-1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[1, 2], [1, 4]], [[0, 0]], 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id: 151042
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id: 151179
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id: 151043
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id: 151044
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id: 151045
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id: 151047
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id: 151048
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id: 151049
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id: 151050
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id: 151051
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id: 151052
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id: 151053
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id: 151054
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id: 151055
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id: 151056
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id: 151058
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id: 151059
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id: 151060
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id: 151061
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id: 151062
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id: 151063
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id: 151064
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id: 151065
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id: 151066
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id: 151067
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id: 151069
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id: 151070
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id: 151071
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id: 151072
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id: 151073
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id: 151074
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id: 151075
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id: 151076
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id: 151077
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id: 151078
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id: 151080
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id: 151081
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id: 151082
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id: 151083
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id: 151084
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id: 151085
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id: 151086
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id: 151087
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id: 151088
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id: 151089
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id: 151091
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id: 151092
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id: 151093
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id: 151094
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id: 151095
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id: 151096
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id: 151097
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id: 151098
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id: 151099
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id: 151100
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id: 151102
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id: 151103
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id: 151104
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id: 151105
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id: 151106
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id: 151107
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-
id: 151108
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id: 151109
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id: 151110
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id: 151111
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id: 151113
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-
id: 151114
{'center': '48.d1.b1', 'center_index': 48, 'center_order': 32, 'counter': 281, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.b1', 'kernel_order': 2, 'label': '1536.10766179.2bi1', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[2, 12]], [[-2, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[2, 18]], [[2, 18]], [[1, 2], [-1, 10], [1, 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id: 151124
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id: 151125
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id: 151126
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id: 151127
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id: 151128
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id: 151129
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id: 151130
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-
id: 151115
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-
id: 151116
{'center': '48.d1.b1', 'center_index': 48, 'center_order': 32, 'counter': 283, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.b1', 'kernel_order': 2, 'label': '1536.10766179.2bi3', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[2, 12]], [[-2, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[2, 18]], [[2, 18]], [[1, 2], [-1, 10], [1, 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-
id: 151117
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-
id: 151118
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-
id: 151119
{'center': '48.d1.b1', 'center_index': 48, 'center_order': 32, 'counter': 286, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.b1', 'kernel_order': 2, 'label': '1536.10766179.2bi6', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[-2, 12]], [[2, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[1, 0], [1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[-1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[2, 6]], [[2, 6]], [[-1, 6], [-1, 12]], 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id: 151120
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id: 151121
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-
id: 151122
{'center': '48.d1.b1', 'center_index': 48, 'center_order': 32, 'counter': 289, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.b1', 'kernel_order': 2, 'label': '1536.10766179.2bi9', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[2, 12]], [[-2, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[-1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[2, 18]], [[2, 18]], [[1, 2], [-1, 10], [1, 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-
id: 151131
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-
id: 151142
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-
id: 151143
{'center': '48.d1.b1', 'center_index': 48, 'center_order': 32, 'counter': 307, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.b1', 'kernel_order': 2, 'label': '1536.10766179.2bj11', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[2, 12]], [[-2, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[-1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[2, 18]], [[2, 18]], [[-1, 2], [1, 10], [-1, 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-
id: 151144
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-
id: 151145
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-
id: 151147
{'center': '48.d1.b1', 'center_index': 48, 'center_order': 32, 'counter': 310, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.b1', 'kernel_order': 2, 'label': '1536.10766179.2bj14', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[-2, 12]], [[2, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[1, 0], [1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[2, 6]], [[2, 6]], [[1, 6], [1, 12]], 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-
id: 151148
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-
id: 151149
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-
id: 151132
{'center': '48.d1.b1', 'center_index': 48, 'center_order': 32, 'counter': 298, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.b1', 'kernel_order': 2, 'label': '1536.10766179.2bj2', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[-2, 12]], [[2, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[1, 0], [1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[-1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[2, 18]], [[-2, 18]], [[2, 6]], [[2, 18]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[-2, 6]], [[-1, 6], [1, 12]], 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id: 151133
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-
id: 151136
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-
id: 151137
{'center': '48.d1.b1', 'center_index': 48, 'center_order': 32, 'counter': 301, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.b1', 'kernel_order': 2, 'label': '1536.10766179.2bj5', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[2, 12]], [[-2, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[2, 6]], [[-2, 6]], [[2, 18]], [[2, 6]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[1, 2], [-1, 10], [-1, 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-
id: 151138
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-
id: 151139
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-
id: 151140
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-
id: 151141
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-
id: 151150
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-
id: 151160
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-
id: 151161
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-
id: 151162
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-
id: 151163
{'center': '48.d1.b1', 'center_index': 48, 'center_order': 32, 'counter': 325, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.b1', 'kernel_order': 2, 'label': '1536.10766179.2bk13', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[2, 12]], [[-2, 12]], [[1, 0], [1, 12]], [[0, 0]], [[-1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[-1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[2, 6]], [[-2, 6]], [[2, 18]], [[2, 6]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[-1, 0], [1, 6]], [[1, 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-
id: 151164
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-
id: 151165
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-
id: 151166
{'center': '48.d1.b1', 'center_index': 48, 'center_order': 32, 'counter': 328, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.b1', 'kernel_order': 2, 'label': '1536.10766179.2bk16', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[-2, 12]], [[2, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[-1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[2, 6]], [[2, 6]], [[-1, 0], [1, 2], [-1, 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id: 151151
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id: 151152
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-
id: 151153
{'center': '48.d1.b1', 'center_index': 48, 'center_order': 32, 'counter': 316, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.b1', 'kernel_order': 2, 'label': '1536.10766179.2bk4', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[-2, 12]], [[2, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[-1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[-1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[2, 18]], [[-2, 18]], [[2, 6]], [[2, 18]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[-2, 6]], [[-1, 0], [-1, 2], [1, 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id: 151154
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-
id: 151155
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-
id: 151156
{'center': '48.d1.b1', 'center_index': 48, 'center_order': 32, 'counter': 319, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.b1', 'kernel_order': 2, 'label': '1536.10766179.2bk7', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[2, 12]], [[-2, 12]], [[1, 0], [1, 12]], [[0, 0]], [[-1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[2, 6]], [[-2, 6]], [[2, 18]], [[2, 6]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[-1, 0], [1, 6]], [[1, 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-
id: 151158
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-
id: 151159
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-
id: 151167
{'center': '48.d1.b1', 'center_index': 48, 'center_order': 32, 'counter': 329, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.b1', 'kernel_order': 2, 'label': '1536.10766179.2bl1', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[2, 12]], [[-2, 12]], [[1, 0], [1, 12]], [[0, 0]], [[-1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[2, 18]], [[2, 18]], [[1, 0], [1, 6]], [[-1, 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-
id: 151177
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-
id: 151178
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-
id: 151180
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-
id: 151181
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-
id: 151182
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-
id: 151183
{'center': '48.d1.b1', 'center_index': 48, 'center_order': 32, 'counter': 343, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.b1', 'kernel_order': 2, 'label': '1536.10766179.2bl15', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[2, 12]], [[-2, 12]], [[1, 0], [1, 12]], [[0, 0]], [[-1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[-1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[2, 6]], [[-2, 6]], [[2, 18]], [[2, 6]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[-2, 18]], [[1, 0], [-1, 6]], [[1, 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-
id: 151184
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-
id: 151169
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-
id: 151170
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-
id: 151171
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-
id: 151172
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-
id: 151173
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-
id: 151174
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-
id: 151175
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-
id: 151176
{'center': '48.d1.b1', 'center_index': 48, 'center_order': 32, 'counter': 337, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.b1', 'kernel_order': 2, 'label': '1536.10766179.2bl9', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[2, 12]], [[-2, 12]], [[1, 0], [1, 12]], [[0, 0]], [[-1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[-1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[2, 18]], [[2, 18]], [[1, 0], [1, 6]], [[-1, 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-
id: 151185
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-
id: 151195
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-
id: 151196
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id: 151197
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id: 151198
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id: 151199
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-
id: 151200
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-
id: 151202
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-
id: 151186
{'center': '48.d1.a1', 'center_index': 48, 'center_order': 32, 'counter': 346, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.a1', 'kernel_order': 2, 'label': '1536.10766179.2bm2', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[-1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[2, 18]], [[1, 2], [-1, 10], [-1, 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-
id: 151187
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-
id: 151188
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-
id: 151189
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-
id: 151191
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-
id: 151192
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-
id: 151193
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-
id: 151194
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-
id: 151203
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-
id: 151213
{'center': '48.d1.a1', 'center_index': 48, 'center_order': 32, 'counter': 370, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.a1', 'kernel_order': 2, 'label': '1536.10766179.2bn10', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[-1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[-1, 0], [2, 8]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-1, 2], [1, 10], [1, 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-
id: 151214
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-
id: 151215
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-
id: 151216
{'center': '48.d1.a1', 'center_index': 48, 'center_order': 32, 'counter': 373, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.a1', 'kernel_order': 2, 'label': '1536.10766179.2bn13', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[2, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[-1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[2, 6]], [[1, 6], [-1, 12]], 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-
id: 151217
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-
id: 151218
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-
id: 151219
{'center': '48.d1.a1', 'center_index': 48, 'center_order': 32, 'counter': 376, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.a1', 'kernel_order': 2, 'label': '1536.10766179.2bn16', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[-1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[-1, 0], [2, 8]], [[2, 6]], [[-2, 6]], [[2, 18]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[1, 2], [-1, 10], [1, 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-
id: 151204
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-
id: 151205
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-
id: 151206
{'center': '48.d1.a1', 'center_index': 48, 'center_order': 32, 'counter': 364, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.a1', 'kernel_order': 2, 'label': '1536.10766179.2bn4', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[-1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-1, 2], [1, 10], [1, 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-
id: 151207
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-
id: 151208
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-
id: 151209
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-
id: 151210
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-
id: 151211
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-
id: 151220
{'center': '48.d1.a1', 'center_index': 48, 'center_order': 32, 'counter': 377, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.a1', 'kernel_order': 2, 'label': '1536.10766179.2bo1', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[2, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[1, 0], [1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[-1, 0], [2, 8]], [[2, 18]], [[-2, 18]], [[2, 6]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[-1, 0], [1, 2], [-1, 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-
id: 151230
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-
id: 151231
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-
id: 151232
{'center': '48.d1.a1', 'center_index': 48, 'center_order': 32, 'counter': 388, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.a1', 'kernel_order': 2, 'label': '1536.10766179.2bo12', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[1, 0], [1, 12]], [[0, 0]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[-1, 0], [2, 8]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[2, 18]], [[-1, 0], [1, 6]], 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-
id: 151233
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-
id: 151235
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-
id: 151236
{'center': '48.d1.a1', 'center_index': 48, 'center_order': 32, 'counter': 391, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.a1', 'kernel_order': 2, 'label': '1536.10766179.2bo15', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[2, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[1, 0], [1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-1, 0], [-1, 2], [1, 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-
id: 151237
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-
id: 151221
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-
id: 151222
{'center': '48.d1.a1', 'center_index': 48, 'center_order': 32, 'counter': 379, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.a1', 'kernel_order': 2, 'label': '1536.10766179.2bo3', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[2, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[1, 0], [1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[-1, 0], [2, 8]], [[2, 18]], [[-2, 18]], [[2, 6]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[-1, 0], [1, 2], [-1, 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-
id: 151224
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-
id: 151225
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-
id: 151226
{'center': '48.d1.a1', 'center_index': 48, 'center_order': 32, 'counter': 382, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.a1', 'kernel_order': 2, 'label': '1536.10766179.2bo6', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[1, 0], [1, 12]], [[0, 0]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[2, 6]], [[-2, 6]], [[2, 18]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[-1, 0], [-1, 6]], 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id: 151227
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-
id: 151228
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-
id: 151229
{'center': '48.d1.a1', 'center_index': 48, 'center_order': 32, 'counter': 385, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.a1', 'kernel_order': 2, 'label': '1536.10766179.2bo9', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[2, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[1, 0], [1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[2, 18]], [[-2, 18]], [[2, 6]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[-1, 0], [1, 2], [-1, 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-
id: 151238
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-
id: 151249
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-
id: 151250
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id: 151251
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id: 151252
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-
id: 151253
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-
id: 151254
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-
id: 151255
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-
id: 151239
{'center': '48.d1.a1', 'center_index': 48, 'center_order': 32, 'counter': 394, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.a1', 'kernel_order': 2, 'label': '1536.10766179.2bp2', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[1, 0], [1, 12]], [[0, 0]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[2, 18]], [[1, 0], [-1, 6]], 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id: 151240
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-
id: 151241
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-
id: 151242
{'center': '48.d1.a1', 'center_index': 48, 'center_order': 32, 'counter': 397, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.a1', 'kernel_order': 2, 'label': '1536.10766179.2bp5', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[2, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[1, 0], [1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[-1, 0], [2, 8]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[2, 6]], [[1, 0], [1, 2], [-1, 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id: 151243
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id: 151244
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-
id: 151247
{'center': '48.d1.a1', 'center_index': 48, 'center_order': 32, 'counter': 400, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '768.81325', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1.a1', 'kernel_order': 2, 'label': '1536.10766179.2bp8', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[1, 0], [1, 12]], [[0, 0]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[2, 6]], [[-2, 6]], [[2, 18]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[2, 18]], [[-2, 18]], [[1, 0], [1, 6]], [[1, 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-
id: 151248
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id: 151190
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id: 151201
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id: 151212
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id: 151223
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id: 151234
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id: 151246
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id: 151256
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id: 151257
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id: 151258
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id: 151259
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id: 151260
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id: 151261
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id: 151262
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id: 151263
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id: 151264
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id: 151266
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id: 151267
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id: 151268
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id: 151269
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id: 151270
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id: 151271
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id: 151272
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id: 151273
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id: 151274
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id: 151275
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id: 151277
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id: 151278
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id: 151279
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id: 151280
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id: 151281
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id: 151282
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id: 151283
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id: 151284
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id: 151285
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id: 151286
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id: 151288
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id: 151289
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id: 151290
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id: 151291
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id: 151292
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id: 151293
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id: 151294
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id: 151295
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id: 151296
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id: 151297
{'center': '4.f1.a1', 'center_index': 4, 'center_order': 384, 'counter': 79, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '32.38', 'image_order': 32, 'indicator': 0, 'kernel': '32.e1.a1', 'kernel_order': 48, 'label': '1536.10766179.2z3', 'nt': [16, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 2]], [[2, 0]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[0, 0]], [[2, 0]], [[-2, 2]], [[0, 0]], [[-2, 2]], [[2, 2]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 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]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 0]], [[-2, 0]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 0]], [[2, 2]], [[2, 2]], [[2, 0]], [[-2, 0]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 0]], [[2, 2]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[2, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 3]], [[-2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, 3]], [[0, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[0, 0]], [[2, 1]], [[2, 3]], [[2, 3]], [[0, 0]], [[-2, 3]], [[2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 3]], [[-2, 1]], [[0, 0]], [[-2, 3]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[-2, 3]], [[-2, 1]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 1]], [[2, 3]], [[2, 3]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]]]}
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id: 151299
{'center': '4.f1.a1', 'center_index': 4, 'center_order': 384, 'counter': 80, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '1536.10766179', 'group_counter': 10766179, 'group_order': 1536, 'image': None, 'image_isoclass': '32.38', 'image_order': 32, 'indicator': 0, 'kernel': '32.e1.a1', 'kernel_order': 48, 'label': '1536.10766179.2z4', 'nt': [16, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 2]], [[2, 0]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 2]], [[0, 0]], [[2, 0]], [[2, 2]], [[0, 0]], [[2, 2]], [[-2, 2]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 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]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 0]], [[-2, 0]], [[2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 0]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[-2, 0]], [[2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 0]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[2, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[0, 0]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[0, 0]], [[-2, 3]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[2, 1]], [[-2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 3]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[2, 3]], [[2, 3]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 12208922
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 1536, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '1536.10766179.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1536.10766179', 'subgroup_hash': 5081545425306775437, 'subgroup_order': 1536, 'subgroup_tex': '(C_2\\times C_{16}).D_{24}', 'supersolvable': True, 'sylow': 0}
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id: 12209033
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 768, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '768.84804', 'subgroup_hash': 84804, 'subgroup_order': 768, 'subgroup_tex': 'D_{24}.C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 12209144
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 768, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '768.79352', 'subgroup_hash': 79352, 'subgroup_order': 768, 'subgroup_tex': 'C_8^2:D_6', 'supersolvable': True, 'sylow': 0}
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id: 12209255
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 768, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '768.87748', 'subgroup_hash': 87748, 'subgroup_order': 768, 'subgroup_tex': 'C_4.(C_8\\times D_{12})', 'supersolvable': True, 'sylow': 0}
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id: 12209366
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 768, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '768.56507', 'subgroup_hash': 56507, 'subgroup_order': 768, 'subgroup_tex': '(C_8\\times C_{24}):C_4', 'supersolvable': True, 'sylow': 0}
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id: 12209416
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 768, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.2.e1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '768.87578', 'subgroup_hash': 87578, 'subgroup_order': 768, 'subgroup_tex': 'C_{12}.(C_8\\times Q_8)', 'supersolvable': True, 'sylow': 0}
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id: 12209427
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 768, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.2.f1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '768.4384', 'subgroup_hash': 4384, 'subgroup_order': 768, 'subgroup_tex': 'C_2\\times C_8\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209438
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 768, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.2.g1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '768.56452', 'subgroup_hash': 56452, 'subgroup_order': 768, 'subgroup_tex': 'C_{24}.(C_4\\times C_8)', 'supersolvable': True, 'sylow': 0}
-
id: 12209449
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 256, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1536.10766179.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 241788995307253730, 'subgroup_order': 512, 'subgroup_tex': '(C_2\\times C_8\\times C_{16}).C_2', 'supersolvable': True, 'sylow': 2}
-
id: 12208923
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 384, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.11052', 'subgroup_hash': 11052, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\times D_{24}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12208934
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 384, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.3988', 'subgroup_hash': 3988, 'subgroup_order': 384, 'subgroup_tex': 'C_2^3.D_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12208945
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 384, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.3993', 'subgroup_hash': 3993, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\times C_4.D_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12208956
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 384, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.2355', 'subgroup_hash': 2355, 'subgroup_order': 384, 'subgroup_tex': 'C_{24}.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 12208967
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 384, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.4738', 'subgroup_hash': 4738, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\times C_8\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12208978
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 384, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.5396', 'subgroup_hash': 5396, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\times C_4\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12208989
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 384, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.5396', 'subgroup_hash': 5396, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\times C_4\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209000
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 384, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.4.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.2322', 'subgroup_hash': 2322, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\times C_{24}.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209011
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 384, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.4.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.2322', 'subgroup_hash': 2322, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\times C_{24}.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209022
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 384, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.4.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.383', 'subgroup_hash': 383, 'subgroup_order': 384, 'subgroup_tex': 'C_{24}.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209034
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 384, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.4.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.384', 'subgroup_hash': 384, 'subgroup_order': 384, 'subgroup_tex': 'C_{24}.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209045
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 192, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.4.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.3985', 'subgroup_hash': 3985, 'subgroup_order': 384, 'subgroup_tex': '(C_2^2\\times C_{48}):C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209056
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 192, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.4.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.3986', 'subgroup_hash': 3986, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\times C_8.D_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209067
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 192, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.4.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.3977', 'subgroup_hash': 3977, 'subgroup_order': 384, 'subgroup_tex': '(C_2\\times C_{16}).D_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209078
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 192, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.4.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.381', 'subgroup_hash': 381, 'subgroup_order': 384, 'subgroup_tex': '(C_2\\times C_{48}):C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209089
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 192, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.4.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.17', 'subgroup_hash': 17, 'subgroup_order': 384, 'subgroup_tex': 'D_{24}:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209100
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 192, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.4.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.p1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.17', 'subgroup_hash': 17, 'subgroup_order': 384, 'subgroup_tex': 'D_{24}:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209111
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 192, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.4.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.446', 'subgroup_hash': 446, 'subgroup_order': 384, 'subgroup_tex': 'C_8\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209122
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 192, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.4.q1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.q1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.446', 'subgroup_hash': 446, 'subgroup_order': 384, 'subgroup_tex': 'C_8\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209133
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 256, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '256.4384', 'subgroup_hash': 4384, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_8\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209145
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 128, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5629', 'subgroup_hash': 5629, 'subgroup_order': 256, 'subgroup_tex': 'D_8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209156
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 128, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.4589', 'subgroup_hash': 4589, 'subgroup_order': 256, 'subgroup_tex': 'C_8^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209167
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 128, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.6.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6183', 'subgroup_hash': 6183, 'subgroup_order': 256, 'subgroup_tex': 'C_4.(C_8\\times D_4)', 'supersolvable': True, 'sylow': 0}
-
id: 12209178
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 128, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.6.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.167', 'subgroup_hash': 167, 'subgroup_order': 256, 'subgroup_tex': 'C_8^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209189
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 128, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.6.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6149', 'subgroup_hash': 6149, 'subgroup_order': 256, 'subgroup_tex': 'C_4.(C_8\\times Q_8)', 'supersolvable': True, 'sylow': 0}
-
id: 12209200
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 128, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.6.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.148', 'subgroup_hash': 148, 'subgroup_order': 256, 'subgroup_tex': 'C_8.(C_4\\times C_8)', 'supersolvable': True, 'sylow': 0}
-
id: 12209211
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 192, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.1300', 'subgroup_hash': 1300, 'subgroup_order': 192, 'subgroup_tex': 'D_{24}:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209222
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 192, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.835', 'subgroup_hash': 835, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209233
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 192, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.665', 'subgroup_hash': 665, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3.D_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209244
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 192, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.935', 'subgroup_hash': 935, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209256
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 192, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.935', 'subgroup_hash': 935, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209267
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 192, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.666', 'subgroup_hash': 666, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_{24}.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209278
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 192, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.666', 'subgroup_hash': 666, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_{24}.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209289
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 192, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.935', 'subgroup_hash': 935, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209300
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 192, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.8.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.935', 'subgroup_hash': 935, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209311
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 192, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.8.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.68', 'subgroup_hash': 68, 'subgroup_order': 192, 'subgroup_tex': 'D_{24}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209322
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 192, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.8.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.68', 'subgroup_hash': 68, 'subgroup_order': 192, 'subgroup_tex': 'D_{24}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209333
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 192, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.8.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.62', 'subgroup_hash': 62, 'subgroup_order': 192, 'subgroup_tex': 'C_6.Q_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 12209344
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 192, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.8.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.62', 'subgroup_hash': 62, 'subgroup_order': 192, 'subgroup_tex': 'C_6.Q_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 12209355
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 192, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.8.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.127', 'subgroup_hash': 127, 'subgroup_order': 192, 'subgroup_tex': 'C_8\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209367
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 192, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.8.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.127', 'subgroup_hash': 127, 'subgroup_order': 192, 'subgroup_tex': 'C_8\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209378
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.486', 'subgroup_hash': 486, 'subgroup_order': 192, 'subgroup_tex': 'C_4^2:D_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209389
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1297', 'subgroup_hash': 1297, 'subgroup_order': 192, 'subgroup_tex': 'C_{12}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 12209400
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.82', 'subgroup_hash': 82, 'subgroup_order': 192, 'subgroup_tex': 'C_{12}.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209410
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 96, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.835', 'subgroup_hash': 835, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209411
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.660', 'subgroup_hash': 660, 'subgroup_order': 192, 'subgroup_tex': 'C_{12}.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209412
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.656', 'subgroup_hash': 656, 'subgroup_order': 192, 'subgroup_tex': 'C_6:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 12209413
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.656', 'subgroup_hash': 656, 'subgroup_order': 192, 'subgroup_tex': 'C_6:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 12209414
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.66', 'subgroup_hash': 66, 'subgroup_order': 192, 'subgroup_tex': 'D_6:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209415
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.t1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.t1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.66', 'subgroup_hash': 66, 'subgroup_order': 192, 'subgroup_tex': 'D_6:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209417
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.60', 'subgroup_hash': 60, 'subgroup_order': 192, 'subgroup_tex': 'C_{24}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209418
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.u1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.u1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.60', 'subgroup_hash': 60, 'subgroup_order': 192, 'subgroup_tex': 'C_{24}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209419
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.67', 'subgroup_hash': 67, 'subgroup_order': 192, 'subgroup_tex': 'C_8.D_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209420
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.v1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.v1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.67', 'subgroup_hash': 67, 'subgroup_order': 192, 'subgroup_tex': 'C_8.D_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209421
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.69', 'subgroup_hash': 69, 'subgroup_order': 192, 'subgroup_tex': 'C_4.D_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209422
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.w1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.w1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.69', 'subgroup_hash': 69, 'subgroup_order': 192, 'subgroup_tex': 'C_4.D_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209423
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.259', 'subgroup_hash': 259, 'subgroup_order': 192, 'subgroup_tex': 'D_{24}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209424
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.259', 'subgroup_hash': 259, 'subgroup_order': 192, 'subgroup_tex': 'D_{24}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209425
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.259', 'subgroup_hash': 259, 'subgroup_order': 192, 'subgroup_tex': 'D_{24}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209426
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.259', 'subgroup_hash': 259, 'subgroup_order': 192, 'subgroup_tex': 'D_{24}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209428
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 96, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.151', 'subgroup_hash': 151, 'subgroup_order': 192, 'subgroup_tex': 'C_4\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209429
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.22', 'subgroup_hash': 22, 'subgroup_order': 192, 'subgroup_tex': 'C_{24}.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209430
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 96, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.151', 'subgroup_hash': 151, 'subgroup_order': 192, 'subgroup_tex': 'C_4\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209431
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.22', 'subgroup_hash': 22, 'subgroup_order': 192, 'subgroup_tex': 'C_{24}.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209432
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 96, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.127', 'subgroup_hash': 127, 'subgroup_order': 192, 'subgroup_tex': 'C_8\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209433
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.22', 'subgroup_hash': 22, 'subgroup_order': 192, 'subgroup_tex': 'C_{24}.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209434
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 96, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.151', 'subgroup_hash': 151, 'subgroup_order': 192, 'subgroup_tex': 'C_4\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209435
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 96, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.151', 'subgroup_hash': 151, 'subgroup_order': 192, 'subgroup_tex': 'C_4\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209436
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.8.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.22', 'subgroup_hash': 22, 'subgroup_order': 192, 'subgroup_tex': 'C_{24}.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209437
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 128, 'counter': 79, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.179', 'subgroup_hash': 179, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_8^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209439
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 128, 'counter': 80, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': ['U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.837', 'subgroup_hash': 837, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209440
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 128, 'counter': 81, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.837', 'subgroup_hash': 837, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209441
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.845', 'subgroup_hash': 845, 'subgroup_order': 128, 'subgroup_tex': '(C_2^2\\times C_{16}):C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209442
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.848', 'subgroup_hash': 848, 'subgroup_order': 128, 'subgroup_tex': '\\OD_{32}:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209443
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.12.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1685', 'subgroup_hash': 1685, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 12209444
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.12.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.870', 'subgroup_hash': 870, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.D_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209445
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.12.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.874', 'subgroup_hash': 874, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.\\SD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209446
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.12.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.504', 'subgroup_hash': 504, 'subgroup_order': 128, 'subgroup_tex': 'C_8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209447
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.12.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.884', 'subgroup_hash': 884, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209448
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.12.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.884', 'subgroup_hash': 884, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209450
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.12.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.883', 'subgroup_hash': 883, 'subgroup_order': 128, 'subgroup_tex': 'C_8.(C_2\\times D_4)', 'supersolvable': True, 'sylow': 0}
-
id: 12209451
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.12.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.111', 'subgroup_hash': 111, 'subgroup_order': 128, 'subgroup_tex': '\\OD_{32}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209452
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.12.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.114', 'subgroup_hash': 114, 'subgroup_order': 128, 'subgroup_tex': 'C_8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209453
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.12.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.113', 'subgroup_hash': 113, 'subgroup_order': 128, 'subgroup_tex': 'C_8.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209454
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.12.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.67', 'subgroup_hash': 67, 'subgroup_order': 128, 'subgroup_tex': 'C_8\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209455
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.12.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.p1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.67', 'subgroup_hash': 67, 'subgroup_order': 128, 'subgroup_tex': 'C_8\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209456
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 64, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.12.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.42', 'subgroup_hash': 42, 'subgroup_order': 128, 'subgroup_tex': 'C_8\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209457
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 64, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.12.q1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.q1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.42', 'subgroup_hash': 42, 'subgroup_order': 128, 'subgroup_tex': 'C_8\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209458
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 96, 'counter': 98, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.161', 'subgroup_hash': 161, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209459
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 96, 'counter': 99, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.176', 'subgroup_hash': 176, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 12208924
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 96, 'counter': 100, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.176', 'subgroup_hash': 176, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12208925
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 96, 'counter': 101, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.110', 'subgroup_hash': 110, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times D_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12208926
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 96, 'counter': 102, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12208927
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 96, 'counter': 103, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12208928
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 96, 'counter': 104, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.112', 'subgroup_hash': 112, 'subgroup_order': 96, 'subgroup_tex': 'C_6:Q_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12208929
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 105, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.25', 'subgroup_hash': 25, 'subgroup_order': 96, 'subgroup_tex': 'C_{24}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12208930
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 106, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.25', 'subgroup_hash': 25, 'subgroup_order': 96, 'subgroup_tex': 'C_{24}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12208931
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 96, 'counter': 107, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12208932
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 96, 'counter': 108, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12208933
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 96, 'counter': 109, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12208935
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 96, 'counter': 110, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12208936
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 96, 'counter': 111, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12208937
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 96, 'counter': 112, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12208938
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 96, 'counter': 113, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12208939
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 96, 'counter': 114, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12208940
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 96, 'counter': 115, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12208941
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 96, 'counter': 116, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.16.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12208942
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.208', 'subgroup_hash': 208, 'subgroup_order': 96, 'subgroup_tex': 'D_{12}:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 12208943
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.133', 'subgroup_hash': 133, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 12208944
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.128', 'subgroup_hash': 128, 'subgroup_order': 96, 'subgroup_tex': 'C_6:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12208946
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.128', 'subgroup_hash': 128, 'subgroup_order': 96, 'subgroup_tex': 'C_6:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12208947
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 24, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.176', 'subgroup_hash': 176, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12208948
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 24, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.s1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.s1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.176', 'subgroup_hash': 176, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12208949
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.106', 'subgroup_hash': 106, 'subgroup_order': 96, 'subgroup_tex': 'C_8\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 12208950
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.107', 'subgroup_hash': 107, 'subgroup_order': 96, 'subgroup_tex': 'C_8:D_6', 'supersolvable': True, 'sylow': 0}
-
id: 12208951
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.109', 'subgroup_hash': 109, 'subgroup_order': 96, 'subgroup_tex': 'C_8:D_6', 'supersolvable': True, 'sylow': 0}
-
id: 12208952
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.20', 'subgroup_hash': 20, 'subgroup_order': 96, 'subgroup_tex': 'C_{24}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12208953
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.22', 'subgroup_hash': 22, 'subgroup_order': 96, 'subgroup_tex': 'C_{24}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12208954
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.18', 'subgroup_hash': 18, 'subgroup_order': 96, 'subgroup_tex': 'C_6:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12208955
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.18', 'subgroup_hash': 18, 'subgroup_order': 96, 'subgroup_tex': 'C_6:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12208957
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 48, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12208958
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.24', 'subgroup_hash': 24, 'subgroup_order': 96, 'subgroup_tex': 'C_{24}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12208959
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 48, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12208960
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.108', 'subgroup_hash': 108, 'subgroup_order': 96, 'subgroup_tex': 'C_8.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 12208961
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.108', 'subgroup_hash': 108, 'subgroup_order': 96, 'subgroup_tex': 'C_8.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 12208962
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.111', 'subgroup_hash': 111, 'subgroup_order': 96, 'subgroup_tex': 'D_{24}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12208963
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.111', 'subgroup_hash': 111, 'subgroup_order': 96, 'subgroup_tex': 'D_{24}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12208964
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.26', 'subgroup_hash': 26, 'subgroup_order': 96, 'subgroup_tex': 'C_{24}.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12208965
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.26', 'subgroup_hash': 26, 'subgroup_order': 96, 'subgroup_tex': 'C_{24}.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12208966
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 48, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12208968
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.19', 'subgroup_hash': 19, 'subgroup_order': 96, 'subgroup_tex': 'C_3:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 12208969
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 48, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12208970
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.19', 'subgroup_hash': 19, 'subgroup_order': 96, 'subgroup_tex': 'C_3:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 12208971
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.12', 'subgroup_hash': 12, 'subgroup_order': 96, 'subgroup_tex': 'D_{12}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12208972
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.12', 'subgroup_hash': 12, 'subgroup_order': 96, 'subgroup_tex': 'D_{12}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12208973
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.108', 'subgroup_hash': 108, 'subgroup_order': 96, 'subgroup_tex': 'C_8.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 12208974
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.108', 'subgroup_hash': 108, 'subgroup_order': 96, 'subgroup_tex': 'C_8.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 12208975
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.111', 'subgroup_hash': 111, 'subgroup_order': 96, 'subgroup_tex': 'D_{24}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12208976
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.111', 'subgroup_hash': 111, 'subgroup_order': 96, 'subgroup_tex': 'D_{24}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12208977
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 24, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bt1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12208979
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 24, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bt1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bt1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12208980
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 48, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12208981
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 48, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bu1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12208982
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.19', 'subgroup_hash': 19, 'subgroup_order': 96, 'subgroup_tex': 'C_3:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 12208983
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 48, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12208984
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 48, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12208985
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.by1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.by1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.19', 'subgroup_hash': 19, 'subgroup_order': 96, 'subgroup_tex': 'C_3:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 12208986
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.bz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.26', 'subgroup_hash': 26, 'subgroup_order': 96, 'subgroup_tex': 'C_{24}.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12208987
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.ca1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ca1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.26', 'subgroup_hash': 26, 'subgroup_order': 96, 'subgroup_tex': 'C_{24}.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12208988
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 48, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.cb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12208990
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 48, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.16.cc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12208991
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 64, 'counter': 161, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12208992
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 64, 'counter': 162, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}', 'simple': False, 'solvable': True, 'special_labels': ['U2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.183', 'subgroup_hash': 183, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12208993
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 64, 'counter': 163, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.183', 'subgroup_hash': 183, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12208994
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 64, 'counter': 164, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.183', 'subgroup_hash': 183, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12208995
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 64, 'counter': 165, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.24.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.183', 'subgroup_hash': 183, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12208996
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 64, 'counter': 166, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.24.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.2', 'subgroup_hash': 2, 'subgroup_order': 64, 'subgroup_tex': 'C_8^2', 'supersolvable': True, 'sylow': 0}
-
id: 12208997
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 64, 'counter': 167, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.24.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.2', 'subgroup_hash': 2, 'subgroup_order': 64, 'subgroup_tex': 'C_8^2', 'supersolvable': True, 'sylow': 0}
-
id: 12208998
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.101', 'subgroup_hash': 101, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 12208999
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.248', 'subgroup_hash': 248, 'subgroup_order': 64, 'subgroup_tex': 'C_8.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 12209001
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.253', 'subgroup_hash': 253, 'subgroup_order': 64, 'subgroup_tex': 'D_8:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209002
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.20', 'subgroup_hash': 20, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209003
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 32, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209004
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.86', 'subgroup_hash': 86, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{16}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209005
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.108', 'subgroup_hash': 108, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209006
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.184', 'subgroup_hash': 184, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 12209007
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.184', 'subgroup_hash': 184, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 12209008
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.110', 'subgroup_hash': 110, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209009
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.110', 'subgroup_hash': 110, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209010
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.29', 'subgroup_hash': 29, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209012
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.r1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.r1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.29', 'subgroup_hash': 29, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209013
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.38', 'subgroup_hash': 38, 'subgroup_order': 64, 'subgroup_tex': 'D_8:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209014
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.s1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.s1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.38', 'subgroup_hash': 38, 'subgroup_order': 64, 'subgroup_tex': 'D_8:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209015
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.44', 'subgroup_hash': 44, 'subgroup_order': 64, 'subgroup_tex': 'C_4:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209016
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.t1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.t1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.44', 'subgroup_hash': 44, 'subgroup_order': 64, 'subgroup_tex': 'C_4:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209017
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.39', 'subgroup_hash': 39, 'subgroup_order': 64, 'subgroup_tex': 'Q_{16}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209018
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.u1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.u1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.39', 'subgroup_hash': 39, 'subgroup_order': 64, 'subgroup_tex': 'Q_{16}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209019
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.31', 'subgroup_hash': 31, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{32}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209020
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.v1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.v1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.31', 'subgroup_hash': 31, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{32}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209021
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.40', 'subgroup_hash': 40, 'subgroup_order': 64, 'subgroup_tex': 'C_4.D_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209023
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.w1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.w1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.40', 'subgroup_hash': 40, 'subgroup_order': 64, 'subgroup_tex': 'C_4.D_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209024
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.124', 'subgroup_hash': 124, 'subgroup_order': 64, 'subgroup_tex': 'D_8:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209025
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.124', 'subgroup_hash': 124, 'subgroup_order': 64, 'subgroup_tex': 'D_8:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209026
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.124', 'subgroup_hash': 124, 'subgroup_order': 64, 'subgroup_tex': 'D_8:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209027
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.124', 'subgroup_hash': 124, 'subgroup_order': 64, 'subgroup_tex': 'D_8:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209028
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 32, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.26', 'subgroup_hash': 26, 'subgroup_order': 64, 'subgroup_tex': 'C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209029
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.45', 'subgroup_hash': 45, 'subgroup_order': 64, 'subgroup_tex': 'C_8.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209030
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 32, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.26', 'subgroup_hash': 26, 'subgroup_order': 64, 'subgroup_tex': 'C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209031
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.45', 'subgroup_hash': 45, 'subgroup_order': 64, 'subgroup_tex': 'C_8.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209032
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 32, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.2', 'subgroup_hash': 2, 'subgroup_order': 64, 'subgroup_tex': 'C_8^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209035
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.45', 'subgroup_hash': 45, 'subgroup_order': 64, 'subgroup_tex': 'C_8.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209036
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 32, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.26', 'subgroup_hash': 26, 'subgroup_order': 64, 'subgroup_tex': 'C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209037
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 32, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.26', 'subgroup_hash': 26, 'subgroup_order': 64, 'subgroup_tex': 'C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209038
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.24.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.45', 'subgroup_hash': 45, 'subgroup_order': 64, 'subgroup_tex': 'C_8.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209039
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 48, 'counter': 204, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209040
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 48, 'counter': 205, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.39', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 39, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209041
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 48, 'counter': 206, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.42', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209042
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 48, 'counter': 207, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.32.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.36', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209043
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 48, 'counter': 208, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.32.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209044
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 48, 'counter': 209, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.32.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209046
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 48, 'counter': 210, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.32.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209047
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 48, 'counter': 211, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.32.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.40', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 40, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209048
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 48, 'counter': 212, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.32.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.42', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209049
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 48, 'counter': 213, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.32.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.33', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 33, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209050
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 48, 'counter': 214, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.32.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209051
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 48, 'counter': 215, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.32.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.31', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209052
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 48, 'counter': 216, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.32.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209053
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 48, 'counter': 217, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.32.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209054
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 48, 'counter': 218, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.32.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209055
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 6, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209057
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 6, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.p1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209058
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 6, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.p1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.p1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209059
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 6, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.p1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.p1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209060
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 6, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.p1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.p1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209061
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 6, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.p1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.p1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209062
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 6, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.p1.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.p1.g1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209063
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 6, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.p1.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.p1.h1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209064
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209065
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 24, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209066
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209068
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.35', 'subgroup_hash': 35, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209069
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.36', 'subgroup_hash': 36, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times D_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209070
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.11', 'subgroup_hash': 11, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209071
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.9', 'subgroup_hash': 9, 'subgroup_order': 48, 'subgroup_tex': 'C_6:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209072
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.9', 'subgroup_hash': 9, 'subgroup_order': 48, 'subgroup_tex': 'C_6:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209073
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.34', 'subgroup_hash': 34, 'subgroup_order': 48, 'subgroup_tex': 'C_6:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209074
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.13', 'subgroup_hash': 13, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209075
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.z1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.z1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.13', 'subgroup_hash': 13, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209076
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209077
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209079
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.10', 'subgroup_hash': 10, 'subgroup_order': 48, 'subgroup_tex': 'C_3:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209080
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.10', 'subgroup_hash': 10, 'subgroup_order': 48, 'subgroup_tex': 'C_3:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209081
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209082
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209083
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 24, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209084
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.10', 'subgroup_hash': 10, 'subgroup_order': 48, 'subgroup_tex': 'C_3:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209085
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.10', 'subgroup_hash': 10, 'subgroup_order': 48, 'subgroup_tex': 'C_3:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209086
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 12, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209087
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 12, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bj1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209088
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 12, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bj1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bj1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209090
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 12, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bj1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bj1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209091
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.4', 'subgroup_hash': 4, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209092
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.4', 'subgroup_hash': 4, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209093
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.5', 'subgroup_hash': 5, 'subgroup_order': 48, 'subgroup_tex': 'C_{24}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209094
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.5', 'subgroup_hash': 5, 'subgroup_order': 48, 'subgroup_tex': 'C_{24}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209095
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.6', 'subgroup_hash': 6, 'subgroup_order': 48, 'subgroup_tex': 'C_{24}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209096
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.6', 'subgroup_hash': 6, 'subgroup_order': 48, 'subgroup_tex': 'C_{24}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209097
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.7', 'subgroup_hash': 7, 'subgroup_order': 48, 'subgroup_tex': 'D_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209098
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.br1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.7', 'subgroup_hash': 7, 'subgroup_order': 48, 'subgroup_tex': 'D_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209099
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.1', 'subgroup_hash': 1, 'subgroup_order': 48, 'subgroup_tex': 'C_3:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209101
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 24, 'counter': 260, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bt1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209102
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 24, 'counter': 261, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bt1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bt1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209103
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.1', 'subgroup_hash': 1, 'subgroup_order': 48, 'subgroup_tex': 'C_3:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209104
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 24, 'counter': 263, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209105
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 24, 'counter': 264, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bv1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209106
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.8', 'subgroup_hash': 8, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209107
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.8', 'subgroup_hash': 8, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209108
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 24, 'counter': 267, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.by1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.by1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209109
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 24, 'counter': 268, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.by1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.by1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209110
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 24, 'counter': 269, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209112
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 24, 'counter': 270, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.32.bz1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bz1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 12209113
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 32, 'counter': 271, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209114
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 32, 'counter': 272, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.36', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209115
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 32, 'counter': 273, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.48.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.35', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 35, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209116
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 32, 'counter': 274, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.48.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209117
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 32, 'counter': 275, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.48.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209118
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 32, 'counter': 276, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.48.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209119
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 32, 'counter': 277, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.48.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209120
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 32, 'counter': 278, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.48.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209121
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 32, 'counter': 279, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.48.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209123
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 32, 'counter': 280, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.48.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209124
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 32, 'counter': 281, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.48.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209125
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 32, 'counter': 282, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.48.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209126
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 32, 'counter': 283, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.48.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209127
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 32, 'counter': 284, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.48.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209128
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 32, 'counter': 285, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.48.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209129
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209130
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': 24, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209131
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.37', 'subgroup_hash': 37, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209132
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.37', 'subgroup_hash': 37, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209134
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 8, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209135
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 8, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.p1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209136
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209137
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.37', 'subgroup_hash': 37, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209138
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.40', 'subgroup_hash': 40, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209139
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.39', 'subgroup_hash': 39, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times D_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209140
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209141
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.4', 'subgroup_hash': 4, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209142
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209143
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209146
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 16, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209147
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.41', 'subgroup_hash': 41, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209148
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.14', 'subgroup_hash': 14, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209149
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.ba1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ba1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.14', 'subgroup_hash': 14, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209150
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.13', 'subgroup_hash': 13, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209151
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 16, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209152
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.38', 'subgroup_hash': 38, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209153
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.38', 'subgroup_hash': 38, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209154
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.42', 'subgroup_hash': 42, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209155
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.42', 'subgroup_hash': 42, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209157
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.15', 'subgroup_hash': 15, 'subgroup_order': 32, 'subgroup_tex': 'C_8.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209158
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.15', 'subgroup_hash': 15, 'subgroup_order': 32, 'subgroup_tex': 'C_8.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209159
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 16, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209160
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 12209161
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 16, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209162
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 12209163
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.11', 'subgroup_hash': 11, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209164
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.11', 'subgroup_hash': 11, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209165
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.38', 'subgroup_hash': 38, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209166
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.38', 'subgroup_hash': 38, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209168
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.42', 'subgroup_hash': 42, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209169
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.42', 'subgroup_hash': 42, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209170
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 8, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bt1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209171
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 8, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bt1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bt1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209172
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 16, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209173
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 16, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bu1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209174
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 12209175
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 16, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209176
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 16, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209177
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.by1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.by1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 12209179
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.bz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.15', 'subgroup_hash': 15, 'subgroup_order': 32, 'subgroup_tex': 'C_8.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209180
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.ca1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ca1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.15', 'subgroup_hash': 15, 'subgroup_order': 32, 'subgroup_tex': 'C_8.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209181
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 16, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.cb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209182
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 16, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.48.cc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209183
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 24, 'counter': 334, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.124', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 124, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209184
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 24, 'counter': 335, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.64.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.118', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 118, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209185
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 24, 'counter': 336, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.64.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.115', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 115, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209186
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 24, 'counter': 337, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.64.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.117', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 117, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209187
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 24, 'counter': 338, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.64.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.119', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 119, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209188
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 24, 'counter': 339, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.64.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.124', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 124, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209190
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 24, 'counter': 340, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.64.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.69', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 69, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209191
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 24, 'counter': 341, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.64.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.167', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 167, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209192
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 24, 'counter': 342, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.64.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.147', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 147, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209193
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 24, 'counter': 343, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.64.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.169', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 169, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209194
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 24, 'counter': 344, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.64.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.146', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 146, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209195
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 24, 'counter': 345, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.64.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.112', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 112, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209196
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 24, 'counter': 346, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.64.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.114', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 114, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209197
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 24, 'counter': 347, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.64.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.115', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 115, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209198
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 24, 'counter': 348, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.64.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.116', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 116, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209199
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 6, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209201
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 6, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.p1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209202
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 6, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.p1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.p1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209203
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 6, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.p1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.p1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209204
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209205
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209206
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209207
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.s1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.s1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209208
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209209
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209210
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 12, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209212
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 12, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209213
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
-
id: 12209214
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
-
id: 12209215
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209216
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
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id: 12209217
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209218
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209219
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209220
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209221
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 3, 'counter': 369, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209223
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 3, 'counter': 370, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.bf1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bf1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209224
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 3, 'counter': 371, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.bf1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bf1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209225
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 3, 'counter': 372, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.bf1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bf1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209226
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 3, 'counter': 373, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.bf1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bf1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209227
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 3, 'counter': 374, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.bf1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bf1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209228
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 3, 'counter': 375, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.bf1.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bf1.g1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209229
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 3, 'counter': 376, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.64.bf1.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bf1.h1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 12209230
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 16, 'counter': 377, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.96.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.80', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 80, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209231
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 16, 'counter': 378, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.96.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.110', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 110, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{24}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209232
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 16, 'counter': 379, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.96.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.111', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 111, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{24}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209234
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 16, 'counter': 380, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.96.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.106', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 106, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209235
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 16, 'counter': 381, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.96.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.108', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 108, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209236
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 16, 'counter': 382, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.96.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.107', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 107, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209237
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 16, 'counter': 383, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.96.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.108', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 108, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209238
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 16, 'counter': 384, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.96.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.109', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 109, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209239
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 16, 'counter': 385, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.96.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.111', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 111, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{24}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209240
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 16, 'counter': 386, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.96.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.83', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 83, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209241
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 16, 'counter': 387, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.96.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.136', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 136, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209242
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 16, 'counter': 388, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.96.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.82', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 82, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209243
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 16, 'counter': 389, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.96.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.137', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 137, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209245
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 16, 'counter': 390, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.96.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.79', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 79, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209246
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 16, 'counter': 391, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.96.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 135, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209247
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 2, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209248
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 2, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.p1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209249
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 2, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.p1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.p1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209250
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 2, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.p1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.p1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209251
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 2, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.p1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.p1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209252
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 2, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.p1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.p1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209253
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 2, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.p1.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.p1.g1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209254
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 2, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.p1.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.p1.h1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209257
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209258
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 8, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209259
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209260
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209261
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209262
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209263
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209264
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209265
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209266
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209268
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.z1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.z1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209269
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209270
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209271
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209272
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209273
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209274
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209275
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 8, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209276
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209277
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209279
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 4, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209280
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 4, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bj1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209281
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 4, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bj1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bj1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209282
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 4, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bj1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bj1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209283
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209284
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209285
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209286
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209287
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209288
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209290
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209291
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.br1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209292
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 432, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209293
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 8, 'counter': 433, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bt1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209294
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 8, 'counter': 434, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bt1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bt1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209295
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 435, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209296
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 8, 'counter': 436, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209297
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 8, 'counter': 437, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bv1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209298
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209299
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209301
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 8, 'counter': 440, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.by1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.by1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209302
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 8, 'counter': 441, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.by1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.by1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209303
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 8, 'counter': 442, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209304
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 8, 'counter': 443, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.96.bz1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bz1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 12209305
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 12, 'counter': 444, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.128.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.307', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 307, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_8', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209306
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 12, 'counter': 445, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.128.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.322', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 322, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8^2:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209307
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 12, 'counter': 446, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.128.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.669', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 669, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209308
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 12, 'counter': 447, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.128.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.321', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 321, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209309
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 12, 'counter': 448, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.128.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.666', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 666, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4).D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209310
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 12, 'counter': 449, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.128.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.308', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 308, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times \\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209312
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 12, 'counter': 450, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.128.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.655', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 655, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.(C_8\\times D_4)', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C7'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209313
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 6, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.128.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209314
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 6, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.128.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209315
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.128.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209316
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.128.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209317
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.128.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209318
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.128.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209319
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.128.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209320
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.128.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209321
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 3, 'counter': 459, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.128.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209323
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 3, 'counter': 460, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.128.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.m1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209324
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 3, 'counter': 461, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.128.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209325
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 3, 'counter': 462, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.128.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.n1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 12209326
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 8, 'counter': 463, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.192.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.259', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 259, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{24}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 12209327
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 8, 'counter': 464, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.192.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.251', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 251, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209328
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 8, 'counter': 465, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.192.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.245', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 245, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209329
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 8, 'counter': 466, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.192.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.247', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 247, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209330
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 8, 'counter': 467, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.192.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.250', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 250, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:\\SD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209331
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 8, 'counter': 468, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.192.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.259', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 259, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{24}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209332
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 8, 'counter': 469, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.192.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.499', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 499, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4^2):S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209334
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 8, 'counter': 470, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.192.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.253', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 253, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.D_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209335
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 8, 'counter': 471, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.192.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.674', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 674, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209336
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 8, 'counter': 472, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.192.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.256', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 256, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209337
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 8, 'counter': 473, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.192.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.673', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 673, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209338
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 8, 'counter': 474, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.192.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.244', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 244, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209339
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 8, 'counter': 475, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.192.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.249', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 249, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209340
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 8, 'counter': 476, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.192.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.668', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 668, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209341
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 8, 'counter': 477, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.192.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.670', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 670, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209342
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 2, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209343
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 2, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.p1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209345
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 2, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.p1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.p1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209346
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 2, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.p1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.p1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209347
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 12209348
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209349
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209350
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.s1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.s1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209351
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209352
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209353
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 4, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209354
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 4, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209356
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209357
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209358
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209359
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209360
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 494, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209361
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 495, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209362
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209363
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209364
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 498, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209365
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 499, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.bf1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bf1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209368
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 500, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.bf1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bf1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209369
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 501, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.bf1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bf1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209370
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 502, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.bf1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bf1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209371
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 503, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.bf1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bf1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209372
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 504, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.bf1.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bf1.g1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209373
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 505, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.192.bf1.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bf1.h1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 12209374
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 6, 'counter': 506, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.256.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5034', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5034, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{16}:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209375
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 6, 'counter': 507, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.256.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.5034', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5034, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{16}:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209376
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 6, 'counter': 508, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.256.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.2542', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2542, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_8^2):C_2', 'simple': False, 'solvable': True, 'special_labels': ['L3', 'C8'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209377
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 3, 'counter': 509, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.256.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209379
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 3, 'counter': 510, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.256.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 12209380
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.256.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '256.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
-
id: 12209381
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 4, 'counter': 512, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.384.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '384.627', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 627, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209382
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 4, 'counter': 513, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.384.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '384.631', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 631, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8^2:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209383
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 4, 'counter': 514, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.10766179.384.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '384.2369', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2369, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_8).D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209384
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 4, 'counter': 515, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.384.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '384.628', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 628, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:D_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209385
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 4, 'counter': 516, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.384.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '384.2344', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2344, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_4).D_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209386
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 4, 'counter': 517, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.384.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '384.629', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 629, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8^2:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209387
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 4, 'counter': 518, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.384.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '384.2361', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2361, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_8).D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209388
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 2, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.384.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209390
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 2, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.384.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209391
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.384.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209392
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.384.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209393
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 523, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.384.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209394
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 524, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.384.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209395
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1536.10766179.384.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 12209396
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 526, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.384.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209397
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 527, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.384.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209398
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 528, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.384.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.m1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209399
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 529, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.384.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209401
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 530, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.384.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.n1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 12209402
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 3, 'counter': 531, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '1536.10766179.512.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '512.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 241788995307253730, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_8\\times C_{16}).C_2', 'simple': True, 'solvable': True, 'special_labels': ['L4', 'C9'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
-
id: 12209403
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 2, 'counter': 532, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.768.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '768.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '768.81325', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 81325, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{48}:C_8', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
-
id: 12209404
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 2, 'counter': 533, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.768.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '768.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '768.81325', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 81325, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{48}:C_8', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 12209405
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 2, 'counter': 534, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.10766179.768.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '768.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '768.67832', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 67832, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:(C_4^2.D_4:C_2)', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 12209406
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 535, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.768.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 12209407
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 536, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.768.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 12209408
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 537, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1536.10766179.768.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 12209409
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.10766179', 'ambient_counter': 10766179, 'ambient_order': 1536, 'ambient_tex': '(C_2\\times C_{16}).D_{24}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 1, 'counter': 538, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1536.10766179.1536.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1536.10766179', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5081545425306775437, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_{16}).D_{24}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U4', 'D2', 'C10'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 12209012
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.t1.b1', '12.d1.a1'], 'contains': ['48.d1.b1', '48.q1.a1', '48.x1.a1'], 'core': '48.d1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 488], 'label': '1536.10766179.24.r1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '24.r1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.r1.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209013
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '12.g1.a1'], 'contains': ['48.e1.b1', '48.t1.a1', '48.ba1.a1'], 'core': '48.e1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [417, 1254], 'label': '1536.10766179.24.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209014
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.b1', '12.g1.a1'], 'contains': ['48.e1.a1', '48.t1.a1', '48.ba1.b1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [33, 102], 'label': '1536.10766179.24.s1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.s1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.s1.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209015
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.u1.a1', '12.l1.a1'], 'contains': ['48.d1.a1', '48.u1.a1', '48.w1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 96], 'label': '1536.10766179.24.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '24.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209016
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.u1.b1', '12.l1.a1'], 'contains': ['48.d1.b1', '48.u1.a1', '48.w1.a1'], 'core': '48.d1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 488], 'label': '1536.10766179.24.t1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '24.t1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.t1.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209017
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '12.g1.a1'], 'contains': ['48.e1.a1', '48.z1.a1', '48.ba1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [417, 102], 'label': '1536.10766179.24.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209018
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.b1', '12.g1.a1'], 'contains': ['48.e1.b1', '48.z1.a1', '48.ba1.b1'], 'core': '48.e1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [33, 1254], 'label': '1536.10766179.24.u1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.u1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.u1.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209019
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.v1.a1', '12.e1.a1'], 'contains': ['48.g1.a1', '48.bd1.a1', '48.bk1.a1'], 'core': '48.g1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 1444], 'label': '1536.10766179.24.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '24.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209020
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.v1.b1', '12.e1.a1'], 'contains': ['48.g1.b1', '48.bd1.a1', '48.bk1.a1'], 'core': '48.g1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 1252], 'label': '1536.10766179.24.v1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '24.v1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.v1.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209021
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.w1.a1', '12.h1.a1'], 'contains': ['48.f1.a1', '48.bf1.a1', '48.bh1.a1'], 'core': '48.f1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [993, 1062], 'label': '1536.10766179.24.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209062
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1'], 'contains': ['64.p1.d1', '64.bf1.a1', '64.bf1.d1', '96.p1.g1'], 'core': '256.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 8, 784, 512, 4], 'label': '1536.10766179.32.p1.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.p1.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.p1.g1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209063
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1'], 'contains': ['64.p1.d1', '64.bf1.b1', '64.bf1.c1', '96.p1.h1'], 'core': '256.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [770, 8, 784, 512, 4], 'label': '1536.10766179.32.p1.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.p1.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.p1.h1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209180
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ca1.a1', '24.p1.a1', '24.x1.a1', '24.ba1.a1'], 'contains': ['96.o1.a1', '96.bi1.a1'], 'core': '96.o1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [3, 972], 'label': '1536.10766179.48.ca1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '48.ca1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ca1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209064
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.a1'], 'contains': ['64.a1.a1', '64.q1.a1', '64.r1.a1', '64.t1.a1', '64.u1.a1', '96.q1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [963, 512, 8, 16, 768], 'label': '1536.10766179.32.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.l1.a1', 'old_label': '32.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209301
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.by1.a1', '48.e1.a1', '48.bj1.a1', '48.cb1.a1'], 'contains': ['192.n1.a1'], 'core': '192.n1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [102], 'label': '1536.10766179.96.by1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.by1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.by1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208930
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.j1.b1', '8.k1.b1'], 'contains': ['32.d1.a1', '32.z1.b1', '48.ba1.b1'], 'core': '16.g1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 512, 768, 972, 1160, 16], 'label': '1536.10766179.16.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.b1', 'normal_contained_in': ['8.c1.a1', '8.j1.b1', '8.k1.b1'], 'normal_contains': ['32.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.g1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208924
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.f1.a1', '8.g1.a1', '8.h1.a1', '8.i1.a1'], 'contains': ['32.a1.a1', '32.d1.a1', '32.e1.a1', '32.f1.a1', '32.g1.a1', '32.n1.a1', '32.o1.a1', '48.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972, 768, 392, 16, 384, 512], 'label': '1536.10766179.16.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.g1.a1', '8.f1.a1', '8.i1.a1', '8.h1.a1'], 'normal_contains': ['32.a1.a1', '32.e1.a1', '32.d1.a1', '32.o1.a1', '32.n1.a1', '32.f1.a1', '32.g1.a1', '48.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208925
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.j1.a1', '8.j1.b1'], 'contains': ['32.d1.a1', '32.u1.a1', '32.bq1.a1', '32.br1.a1', '48.t1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1347, 512, 768, 972, 16, 1160], 'label': '1536.10766179.16.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': ['8.a1.a1', '8.j1.a1', '8.j1.b1'], 'normal_contains': ['32.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208926
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.t1.a1', '8.u1.a1'], 'contains': ['32.b1.a1', '32.bt1.a1', '48.d1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [16, 768, 384, 96, 512, 192], 'label': '1536.10766179.16.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': ['8.d1.a1'], 'normal_contains': ['32.b1.a1', '48.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208927
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.t1.b1', '8.u1.b1'], 'contains': ['32.b1.a1', '32.bt1.b1', '48.d1.b1'], 'core': '16.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [488, 768, 384, 16, 512, 960], 'label': '1536.10766179.16.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.b1', 'normal_contained_in': ['8.d1.a1'], 'normal_contains': ['32.b1.a1', '48.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.e1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208928
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.k1.a1', '8.k1.b1'], 'contains': ['32.d1.a1', '32.y1.a1', '32.bw1.a1', '32.bx1.a1', '48.z1.a1'], 'core': '16.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [963, 512, 768, 972, 16, 1160], 'label': '1536.10766179.16.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': ['8.a1.a1', '8.k1.a1', '8.k1.b1'], 'normal_contains': ['32.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208929
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.j1.a1', '8.k1.a1'], 'contains': ['32.d1.a1', '32.z1.a1', '48.ba1.a1'], 'core': '16.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [417, 512, 768, 972, 1160, 784], 'label': '1536.10766179.16.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': ['8.c1.a1', '8.j1.a1', '8.k1.a1'], 'normal_contains': ['32.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208922
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': ['1536.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1', '3.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 768, 16, 960, 512, 2, 972, 384, 1160, 96], 'label': '1536.10766179.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208923
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.f1.a1', '8.m1.a1', '8.n1.a1', '8.x1.a1', '8.y1.a1', '8.z1.a1', '8.ba1.a1', '12.f1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3, 1160, 384, 972, 960, 512, 768, 16], 'label': '1536.10766179.4.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209110
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '16.bc1.a1', '16.cc1.a1'], 'contains': ['64.o1.a1', '96.bz1.a1'], 'core': '64.o1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1062, 768, 512, 588, 1160], 'label': '1536.10766179.32.bz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.bz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208931
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.j1.b1', '8.k1.a1'], 'contains': ['32.d1.a1', '32.by1.a1', '48.e1.a1'], 'core': '16.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [102, 768, 392, 16, 512, 204], 'label': '1536.10766179.16.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1.a1', 'normal_contained_in': ['8.h1.a1', '8.j1.b1', '8.k1.a1'], 'normal_contains': ['32.d1.a1', '48.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208932
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.j1.a1', '8.k1.b1'], 'contains': ['32.d1.a1', '32.by1.b1', '48.e1.b1'], 'core': '16.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1254, 768, 392, 16, 512, 972], 'label': '1536.10766179.16.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1.b1', 'normal_contained_in': ['8.h1.a1', '8.j1.a1', '8.k1.b1'], 'normal_contains': ['32.d1.a1', '48.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208933
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '8.w1.a1'], 'contains': ['32.f1.a1', '32.bz1.a1', '48.f1.a1'], 'core': '16.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1062, 768, 1160, 1168, 512, 588], 'label': '1536.10766179.16.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.i1.a1', 'normal_contained_in': ['8.i1.a1'], 'normal_contains': ['32.f1.a1', '48.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208934
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.c1.a1', '8.h1.a1', '8.j1.a1', '8.j1.b1', '8.k1.a1', '8.k1.b1', '12.g1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 16, 392, 102, 1364, 512, 768, 384], 'label': '1536.10766179.4.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '8.c1.a1', '8.h1.a1', '8.j1.a1', '8.j1.b1', '8.k1.a1', '8.k1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208935
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '8.w1.b1'], 'contains': ['32.f1.a1', '32.bz1.b1', '48.f1.b1'], 'core': '16.i1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1446, 768, 1160, 1168, 512, 1356], 'label': '1536.10766179.16.i1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.i1.b1', 'normal_contained_in': ['8.i1.a1'], 'normal_contains': ['32.f1.a1', '48.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.i1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208936
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.v1.a1'], 'contains': ['32.h1.a1', '32.bv1.a1', '48.g1.a1'], 'core': '16.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1444, 768, 1152, 1360, 512, 1352], 'label': '1536.10766179.16.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.j1.a1', 'normal_contained_in': ['8.e1.a1'], 'normal_contains': ['32.h1.a1', '48.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208937
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.v1.b1'], 'contains': ['32.h1.a1', '32.bv1.b1', '48.g1.b1'], 'core': '16.j1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1252, 768, 384, 1360, 512, 968], 'label': '1536.10766179.16.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.j1.b1', 'normal_contained_in': ['8.e1.a1'], 'normal_contains': ['32.h1.a1', '48.g1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.j1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208938
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.x1.a1', '8.bb1.a1', '8.bc1.a1'], 'contains': ['32.j1.a1', '32.l1.a1', '32.o1.a1', '48.h1.a1'], 'core': '16.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972, 768, 1152, 1360, 512, 392], 'label': '1536.10766179.16.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.k1.a1', 'normal_contained_in': ['8.b1.a1'], 'normal_contains': ['32.j1.a1', '32.l1.a1', '32.o1.a1', '48.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208939
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.y1.a1', '8.bd1.a1', '8.be1.a1'], 'contains': ['32.j1.a1', '32.m1.a1', '32.n1.a1', '48.i1.a1'], 'core': '16.l1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1364, 768, 384, 960, 512, 1160], 'label': '1536.10766179.16.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.l1.a1', 'normal_contained_in': ['8.b1.a1'], 'normal_contains': ['32.j1.a1', '32.m1.a1', '32.n1.a1', '48.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208940
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.z1.a1', '8.bf1.a1', '8.bg1.a1'], 'contains': ['32.k1.a1', '32.l1.a1', '32.n1.a1', '48.j1.a1'], 'core': '16.m1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [396, 768, 1152, 1360, 512, 776], 'label': '1536.10766179.16.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.m1.a1', 'normal_contained_in': ['8.b1.a1'], 'normal_contains': ['32.k1.a1', '32.l1.a1', '32.n1.a1', '48.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208941
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.l1.a1', '8.l1.b1', '8.ba1.a1', '8.bh1.a1', '8.bi1.a1', '8.bj1.a1'], 'contains': ['32.k1.a1', '32.m1.a1', '32.o1.a1', '48.k1.a1'], 'core': '16.n1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972, 768, 384, 960, 512, 392], 'label': '1536.10766179.16.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.n1.a1', 'normal_contained_in': ['8.b1.a1', '8.l1.a1', '8.l1.b1'], 'normal_contains': ['32.k1.a1', '32.m1.a1', '32.o1.a1', '48.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208942
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.m1.a1', '8.n1.a1'], 'contains': ['32.a1.a1', '32.q1.a1', '32.t1.a1', '32.u1.a1', '32.y1.a1', '32.ba1.a1', '32.bb1.a1', '32.be1.a1', '32.bf1.a1', '48.l1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [963, 512, 768, 1160, 16, 384], 'label': '1536.10766179.16.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '16.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208943
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.o1.a1', '8.q1.a1'], 'contains': ['32.a1.a1', '32.s1.a1', '32.v1.a1', '32.z1.a1', '32.z1.b1', '48.m1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 512, 768, 1160, 384, 16], 'label': '1536.10766179.16.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '16.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208944
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.m1.a1', '8.n1.a1'], 'contains': ['32.a1.a1', '32.w1.a1', '32.bd1.a1', '32.bi1.a1', '48.n1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 512, 768, 1160, 16, 384], 'label': '1536.10766179.16.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '16.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208945
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.g1.a1', '8.i1.a1', '8.w1.a1', '8.w1.b1', '12.h1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [993, 400, 392, 1446, 1364, 512, 768, 384], 'label': '1536.10766179.4.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '8.g1.a1', '8.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208946
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '8.o1.a1', '8.q1.a1'], 'contains': ['32.a1.a1', '32.x1.a1', '32.bc1.a1', '32.bh1.a1', '48.o1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [993, 512, 768, 1160, 384, 400], 'label': '1536.10766179.16.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '16.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208947
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1'], 'contains': ['32.p1.a1', '32.p1.b1', '32.p1.g1', '32.p1.h1', '32.r1.a1', '32.bj1.a1', '32.bj1.c1', '48.p1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 8, 4, 16, 768, 512], 'label': '1536.10766179.16.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '16.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208948
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1'], 'contains': ['32.p1.c1', '32.p1.d1', '32.p1.e1', '32.p1.f1', '32.r1.a1', '32.bj1.b1', '32.bj1.d1', '48.p1.b1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [386, 8, 772, 16, 768, 512], 'label': '1536.10766179.16.s1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '16.s1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.s1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209177
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.by1.a1', '24.n1.a1', '24.be1.a1', '24.bj1.a1'], 'contains': ['96.m1.a1', '96.bu1.a1'], 'core': '96.m1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 1160], 'label': '1536.10766179.48.by1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.j1.a1', 'old_label': '48.by1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.by1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208949
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1.a1', '8.t1.a1', '8.t1.b1'], 'contains': ['32.b1.a1', '32.t1.a1', '32.w1.a1', '32.bk1.a1', '32.bl1.a1', '48.q1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 512, 768, 16, 960, 384], 'label': '1536.10766179.16.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.l1.a1', 'old_label': '16.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208950
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1.a1'], 'contains': ['32.c1.a1', '32.t1.a1', '32.w1.a1', '32.bm1.a1', '32.bn1.a1', '48.r1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 512, 768, 584, 16, 384], 'label': '1536.10766179.16.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.l1.a1', 'old_label': '16.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208951
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['32.e1.a1', '32.u1.a1', '32.y1.a1', '32.bo1.a1', '32.bp1.a1', '48.s1.a1'], 'core': '32.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [963, 512, 768, 1356, 16, 1160], 'label': '1536.10766179.16.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '16.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208952
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.u1.a1', '8.u1.b1'], 'contains': ['32.b1.a1', '32.v1.a1', '32.x1.a1', '48.u1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 512, 768, 960, 16, 384], 'label': '1536.10766179.16.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.n1.a1', 'old_label': '16.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208953
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1'], 'contains': ['32.c1.a1', '32.v1.a1', '32.x1.a1', '48.v1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 512, 768, 584, 16, 1152], 'label': '1536.10766179.16.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.n1.a1', 'old_label': '16.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208954
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.r1.a1', '8.u1.a1', '8.u1.b1'], 'contains': ['32.b1.a1', '32.bu1.a1', '48.w1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 512, 768, 16, 960, 384], 'label': '1536.10766179.16.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.n1.a1', 'old_label': '16.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208955
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1.a1', '8.t1.a1', '8.t1.b1'], 'contains': ['32.b1.a1', '32.bs1.a1', '48.x1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [35, 512, 768, 960, 976, 384], 'label': '1536.10766179.16.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.l1.a1', 'old_label': '16.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208956
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.b1.a1', '8.c1.a1', '8.g1.a1', '8.o1.a1', '8.q1.a1', '12.i1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 16, 384, 972, 1160, 512, 768, 960], 'label': '1536.10766179.4.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'normal_contains': ['8.b1.a1', '8.c1.a1', '8.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208957
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1'], 'contains': ['32.c1.a1', '32.bv1.a1', '32.bv1.b1', '48.y1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1444, 768, 1152, 16, 512, 1352], 'label': '1536.10766179.16.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '16.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208958
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1'], 'contains': ['32.e1.a1', '32.z1.a1', '32.z1.b1', '48.bb1.a1'], 'core': '32.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 512, 768, 1356, 1160, 16], 'label': '1536.10766179.16.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '16.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208959
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1'], 'contains': ['32.e1.a1', '32.bz1.a1', '32.bz1.b1', '48.bc1.a1'], 'core': '32.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1446, 768, 1160, 16, 512, 1356], 'label': '1536.10766179.16.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '16.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208960
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1.a1', '8.v1.a1', '8.v1.b1'], 'contains': ['32.h1.a1', '32.bb1.a1', '32.bd1.a1', '32.bk1.a1', '32.bn1.a1', '48.bd1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 512, 768, 584, 1360, 384], 'label': '1536.10766179.16.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '16.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208961
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1.a1'], 'contains': ['32.i1.a1', '32.bb1.a1', '32.bd1.a1', '32.bl1.a1', '32.bm1.a1', '48.be1.a1'], 'core': '32.i1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 512, 768, 408, 960, 384], 'label': '1536.10766179.16.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '16.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208962
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.w1.a1', '8.w1.b1'], 'contains': ['32.f1.a1', '32.ba1.a1', '32.bp1.a1', '32.bq1.a1', '32.bw1.a1', '48.bf1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [963, 512, 768, 1356, 1168, 1160], 'label': '1536.10766179.16.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208963
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['32.g1.a1', '32.ba1.a1', '32.bo1.a1', '32.br1.a1', '32.bx1.a1', '48.bg1.a1'], 'core': '32.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [963, 512, 768, 972, 1168, 1160], 'label': '1536.10766179.16.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208964
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '8.w1.a1', '8.w1.b1'], 'contains': ['32.f1.a1', '32.bc1.a1', '48.bh1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [993, 512, 768, 1356, 1160, 400], 'label': '1536.10766179.16.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208965
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1'], 'contains': ['32.g1.a1', '32.bc1.a1', '48.bi1.a1'], 'core': '32.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [993, 512, 768, 972, 1160, 400], 'label': '1536.10766179.16.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '16.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208966
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1'], 'contains': ['32.g1.a1', '32.by1.a1', '32.by1.b1', '48.bj1.a1'], 'core': '32.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [102, 768, 392, 1168, 512, 204], 'label': '1536.10766179.16.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '16.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208967
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.a1', '2.f1.a1'], 'contains': ['8.b1.a1', '8.l1.a1', '8.l1.b1', '8.p1.a1', '8.bf1.a1', '12.a1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 4, 384, 16, 512, 768, 8, 960], 'label': '1536.10766179.4.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.b1.a1', '2.d1.a1', '2.f1.a1'], 'normal_contains': ['8.b1.a1', '8.l1.a1', '8.l1.b1', '12.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208968
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1.a1', '8.v1.a1', '8.v1.b1'], 'contains': ['32.h1.a1', '32.bs1.a1', '48.bk1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [35, 512, 768, 584, 976, 384], 'label': '1536.10766179.16.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '16.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208969
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1'], 'contains': ['32.i1.a1', '32.bt1.a1', '32.bt1.b1', '48.bl1.a1'], 'core': '32.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [408, 768, 384, 96, 512, 192], 'label': '1536.10766179.16.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '16.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208970
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.r1.a1'], 'contains': ['32.i1.a1', '32.bu1.a1', '48.bm1.a1'], 'core': '32.i1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 512, 768, 408, 960, 384], 'label': '1536.10766179.16.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.o1.a1', 'old_label': '16.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208971
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.x1.a1', '8.y1.a1'], 'contains': ['32.j1.a1', '32.bf1.a1', '32.bi1.a1', '48.bn1.a1'], 'core': '32.j1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 512, 768, 1172, 392, 384], 'label': '1536.10766179.16.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208972
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.z1.a1', '8.ba1.a1'], 'contains': ['32.k1.a1', '32.bf1.a1', '32.bi1.a1', '48.bo1.a1'], 'core': '32.k1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 512, 768, 396, 1160, 384], 'label': '1536.10766179.16.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208973
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1.a1', '8.x1.a1', '8.z1.a1'], 'contains': ['32.l1.a1', '32.bf1.a1', '32.bi1.a1', '32.bk1.a1', '32.bm1.a1', '48.bp1.a1'], 'core': '32.l1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 512, 768, 1160, 1360, 384], 'label': '1536.10766179.16.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208974
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1.a1', '8.y1.a1', '8.ba1.a1'], 'contains': ['32.m1.a1', '32.bf1.a1', '32.bi1.a1', '32.bl1.a1', '32.bn1.a1', '48.bq1.a1'], 'core': '32.m1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 512, 768, 1160, 960, 384], 'label': '1536.10766179.16.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208975
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.y1.a1', '8.z1.a1'], 'contains': ['32.n1.a1', '32.bf1.a1', '32.bo1.a1', '32.bq1.a1', '32.bw1.a1', '48.br1.a1'], 'core': '32.n1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [963, 512, 768, 1364, 384, 392], 'label': '1536.10766179.16.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208976
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.x1.a1', '8.ba1.a1'], 'contains': ['32.o1.a1', '32.bf1.a1', '32.bp1.a1', '32.br1.a1', '32.bx1.a1', '48.bs1.a1'], 'core': '32.o1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [963, 512, 768, 972, 384, 1160], 'label': '1536.10766179.16.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208977
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1'], 'contains': ['32.bg1.a1', '32.bj1.a1', '32.bj1.d1', '48.bt1.a1'], 'core': '64.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 8, 768, 1168, 512, 4], 'label': '1536.10766179.16.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '16.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208978
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.e1.a1', '2.f1.a1'], 'contains': ['8.b1.a1', '8.d1.a1', '8.e1.a1', '8.bd1.a1', '8.bh1.a1', '12.b1.a1'], 'core': '4.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972, 392, 192, 16, 512, 768, 384, 96], 'label': '1536.10766179.4.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': ['2.c1.a1', '2.e1.a1', '2.f1.a1'], 'normal_contains': ['8.b1.a1', '8.e1.a1', '8.d1.a1', '12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208979
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1'], 'contains': ['32.bg1.a1', '32.bj1.b1', '32.bj1.c1', '48.bt1.b1'], 'core': '64.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [386, 8, 768, 1168, 512, 772], 'label': '1536.10766179.16.bt1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '16.bt1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bt1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208980
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '8.p1.a1', '8.bf1.a1'], 'contains': ['32.k1.a1', '32.bj1.a1', '32.bj1.b1', '48.bu1.a1'], 'core': '32.k1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 8, 768, 384, 512, 4], 'label': '1536.10766179.16.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '16.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208981
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.b1', '8.p1.a1', '8.bf1.a1'], 'contains': ['32.k1.a1', '32.bj1.c1', '32.bj1.d1', '48.bu1.b1'], 'core': '32.k1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [22, 8, 768, 384, 512, 12], 'label': '1536.10766179.16.bu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '16.bu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208982
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1.a1', '8.bc1.a1', '8.bg1.a1'], 'contains': ['32.l1.a1', '32.bs1.a1', '48.bv1.a1'], 'core': '32.l1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [35, 512, 768, 1160, 976, 384], 'label': '1536.10766179.16.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.a1', 'old_label': '16.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208983
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.bd1.a1', '8.bh1.a1'], 'contains': ['32.m1.a1', '32.bt1.a1', '32.bt1.b1', '48.bw1.a1'], 'core': '32.m1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1160, 768, 384, 96, 512, 192], 'label': '1536.10766179.16.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '16.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208984
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.bd1.a1', '8.bh1.a1'], 'contains': ['32.m1.a1', '32.bv1.a1', '32.bv1.b1', '48.bx1.a1'], 'core': '32.m1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1444, 768, 1152, 1344, 512, 1352], 'label': '1536.10766179.16.bx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '16.bx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208985
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.r1.a1', '8.be1.a1', '8.bj1.a1'], 'contains': ['32.m1.a1', '32.bu1.a1', '48.by1.a1'], 'core': '32.m1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 512, 768, 1160, 960, 384], 'label': '1536.10766179.16.by1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1.a1', 'old_label': '16.by1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.by1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208986
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.y1.a1', '8.z1.a1'], 'contains': ['32.n1.a1', '32.bi1.a1', '48.bz1.a1'], 'core': '32.n1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 512, 768, 1364, 392, 384], 'label': '1536.10766179.16.bz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.bz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208987
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.x1.a1', '8.ba1.a1'], 'contains': ['32.o1.a1', '32.bi1.a1', '48.ca1.a1'], 'core': '32.o1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 512, 768, 972, 1160, 384], 'label': '1536.10766179.16.ca1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.ca1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ca1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208988
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.bb1.a1', '8.bi1.a1'], 'contains': ['32.o1.a1', '32.by1.a1', '32.by1.b1', '48.cb1.a1'], 'core': '32.o1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [102, 768, 392, 384, 512, 204], 'label': '1536.10766179.16.cb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '16.cb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208989
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'contains': ['8.b1.a1', '8.h1.a1', '8.i1.a1', '8.bb1.a1', '8.bi1.a1', '12.c1.a1'], 'core': '4.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [102, 204, 384, 16, 512, 768, 392, 960], 'label': '1536.10766179.4.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'normal_contains': ['8.b1.a1', '8.i1.a1', '8.h1.a1', '12.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208990
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '8.bb1.a1', '8.bi1.a1'], 'contains': ['32.o1.a1', '32.bz1.a1', '32.bz1.b1', '48.cc1.a1'], 'core': '32.o1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1446, 768, 1160, 384, 512, 1356], 'label': '1536.10766179.16.cc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '16.cc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209011
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'contains': ['8.b1.a1', '8.s1.a1', '8.bc1.a1', '8.bg1.a1', '12.k1.a1'], 'core': '4.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [35, 976, 384, 972, 1160, 512, 768, 960], 'label': '1536.10766179.4.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'normal_contains': ['8.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208991
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1', '12.f1.a1', '12.i1.a1', '12.j1.a1', '12.k1.a1'], 'contains': ['48.a1.a1', '48.b1.a1', '48.c1.a1', '48.h1.a1', '48.i1.a1', '48.j1.a1', '48.k1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972, 16, 960], 'label': '1536.10766179.24.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.b1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'normal_contains': ['48.a1.a1', '48.b1.a1', '48.c1.a1', '48.i1.a1', '48.h1.a1', '48.k1.a1', '48.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208992
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.b1.a1', '12.d1.a1', '12.l1.a1'], 'contains': ['48.b1.a1', '48.d1.a1', '48.d1.b1', '48.bl1.a1', '48.bw1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160, 16, 96], 'label': '1536.10766179.24.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.d1.a1', '12.b1.a1'], 'normal_contains': ['48.b1.a1', '48.d1.a1', '48.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208993
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.b1.a1', '12.e1.a1', '12.m1.a1'], 'contains': ['48.b1.a1', '48.g1.a1', '48.g1.b1', '48.y1.a1', '48.bx1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1444, 16, 1344], 'label': '1536.10766179.24.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': ['8.e1.a1', '12.b1.a1'], 'normal_contains': ['48.b1.a1', '48.g1.b1', '48.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208994
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '12.c1.a1', '12.g1.a1', '12.o1.a1'], 'contains': ['48.c1.a1', '48.e1.a1', '48.e1.b1', '48.bj1.a1', '48.cb1.a1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [102, 16, 384], 'label': '1536.10766179.24.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': ['8.h1.a1', '12.c1.a1'], 'normal_contains': ['48.c1.a1', '48.e1.b1', '48.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208995
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '12.c1.a1', '12.h1.a1', '12.n1.a1'], 'contains': ['48.c1.a1', '48.f1.a1', '48.f1.b1', '48.bc1.a1', '48.cc1.a1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1446, 16, 384], 'label': '1536.10766179.24.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': ['8.i1.a1', '12.c1.a1'], 'normal_contains': ['48.c1.a1', '48.f1.b1', '48.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208996
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '12.a1.a1', '12.p1.a1', '12.q1.a1'], 'contains': ['48.k1.a1', '48.bu1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 960], 'label': '1536.10766179.24.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.a1', 'normal_contained_in': ['8.l1.a1', '12.a1.a1'], 'normal_contains': ['48.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208997
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.l1.b1', '12.a1.a1', '12.p1.b1', '12.q1.b1'], 'contains': ['48.k1.a1', '48.bu1.b1'], 'core': '24.f1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [22, 960], 'label': '1536.10766179.24.f1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.b1', 'normal_contained_in': ['8.l1.b1', '12.a1.a1'], 'normal_contains': ['48.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.f1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208998
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '12.f1.a1'], 'contains': ['48.a1.a1', '48.l1.a1', '48.n1.a1', '48.bn1.a1', '48.bo1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [3, 396, 16], 'label': '1536.10766179.24.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '24.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12208999
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1.a1', '12.d1.a1', '12.e1.a1', '12.f1.a1'], 'contains': ['48.b1.a1', '48.l1.a1', '48.n1.a1', '48.q1.a1', '48.r1.a1', '48.bd1.a1', '48.be1.a1', '48.bp1.a1', '48.bq1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [3, 1160, 16, 960], 'label': '1536.10766179.24.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '24.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209000
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'contains': ['8.b1.a1', '8.r1.a1', '8.be1.a1', '8.bj1.a1', '12.j1.a1'], 'core': '4.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 960, 384, 972, 1160, 512, 768, 16], 'label': '1536.10766179.4.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'normal_contains': ['8.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209001
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.f1.a1', '12.g1.a1', '12.h1.a1'], 'contains': ['48.c1.a1', '48.l1.a1', '48.s1.a1', '48.t1.a1', '48.z1.a1', '48.bf1.a1', '48.bg1.a1', '48.br1.a1', '48.bs1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [963, 972, 16, 384], 'label': '1536.10766179.24.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209002
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '12.i1.a1'], 'contains': ['48.a1.a1', '48.m1.a1', '48.o1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [33, 396], 'label': '1536.10766179.24.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '24.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209003
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1', '12.a1.a1'], 'contains': ['48.a1.a1', '48.p1.a1', '48.p1.b1', '48.bt1.a1', '48.bt1.b1', '48.bu1.a1', '48.bu1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 16, 384], 'label': '1536.10766179.24.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '24.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209004
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '12.i1.a1', '12.l1.a1', '12.m1.a1'], 'contains': ['48.b1.a1', '48.m1.a1', '48.o1.a1', '48.u1.a1', '48.v1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [33, 1160, 960], 'label': '1536.10766179.24.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '24.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209005
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.g1.a1', '12.i1.a1', '12.n1.a1'], 'contains': ['48.c1.a1', '48.m1.a1', '48.ba1.a1', '48.ba1.b1', '48.bb1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [33, 972, 384], 'label': '1536.10766179.24.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209006
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.r1.a1', '12.j1.a1', '12.l1.a1', '12.m1.a1'], 'contains': ['48.b1.a1', '48.w1.a1', '48.bm1.a1', '48.by1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 1160, 16], 'label': '1536.10766179.24.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '24.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209007
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1.a1', '12.d1.a1', '12.e1.a1', '12.k1.a1'], 'contains': ['48.b1.a1', '48.x1.a1', '48.bk1.a1', '48.bv1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [35, 1160, 960], 'label': '1536.10766179.24.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '24.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209008
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '12.f1.a1', '12.n1.a1', '12.o1.a1'], 'contains': ['48.c1.a1', '48.n1.a1', '48.bz1.a1', '48.ca1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [3, 972, 16], 'label': '1536.10766179.24.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209009
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '12.h1.a1', '12.i1.a1', '12.o1.a1'], 'contains': ['48.c1.a1', '48.o1.a1', '48.bh1.a1', '48.bi1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [993, 972, 384], 'label': '1536.10766179.24.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209010
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.t1.a1', '12.d1.a1'], 'contains': ['48.d1.a1', '48.q1.a1', '48.x1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 96], 'label': '1536.10766179.24.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '24.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209022
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.f1.a1', '8.i1.a1', '12.n1.a1'], 'core': '4.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 1152, 392, 1446, 16, 512, 768, 1364], 'label': '1536.10766179.4.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.j1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.c1.a1', '8.f1.a1', '8.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209023
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.w1.b1', '12.h1.a1'], 'contains': ['48.f1.b1', '48.bf1.a1', '48.bh1.a1'], 'core': '48.f1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [993, 1446], 'label': '1536.10766179.24.w1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.w1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.w1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209024
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.x1.a1', '12.f1.a1'], 'contains': ['48.h1.a1', '48.bn1.a1', '48.bp1.a1', '48.bs1.a1', '48.ca1.a1'], 'core': '48.h1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [3, 972, 1360], 'label': '1536.10766179.24.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '24.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209025
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.y1.a1', '12.f1.a1'], 'contains': ['48.i1.a1', '48.bn1.a1', '48.bq1.a1', '48.br1.a1', '48.bz1.a1'], 'core': '48.i1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [3, 1364, 960], 'label': '1536.10766179.24.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209026
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.z1.a1', '12.f1.a1'], 'contains': ['48.j1.a1', '48.bo1.a1', '48.bp1.a1', '48.br1.a1', '48.bz1.a1'], 'core': '48.j1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [3, 396, 976], 'label': '1536.10766179.24.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209027
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.ba1.a1', '12.f1.a1', '12.p1.a1', '12.p1.b1'], 'contains': ['48.k1.a1', '48.bo1.a1', '48.bq1.a1', '48.bs1.a1', '48.ca1.a1'], 'core': '48.k1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [3, 972, 960], 'label': '1536.10766179.24.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '24.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209028
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bb1.a1', '12.c1.a1'], 'contains': ['48.h1.a1', '48.cb1.a1', '48.cc1.a1'], 'core': '48.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [102, 1360], 'label': '1536.10766179.24.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '24.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209029
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bc1.a1', '12.k1.a1'], 'contains': ['48.h1.a1', '48.bv1.a1'], 'core': '48.h1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [35, 972], 'label': '1536.10766179.24.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1.a1', 'old_label': '24.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209030
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bd1.a1', '12.b1.a1'], 'contains': ['48.i1.a1', '48.bw1.a1', '48.bx1.a1'], 'core': '48.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1364, 96], 'label': '1536.10766179.24.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '24.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209031
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '12.j1.a1'], 'contains': ['48.i1.a1', '48.by1.a1'], 'core': '48.i1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 1364], 'label': '1536.10766179.24.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '24.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209032
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bf1.a1', '12.a1.a1'], 'contains': ['48.j1.a1', '48.bu1.a1', '48.bu1.b1'], 'core': '48.j1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 1360], 'label': '1536.10766179.24.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '24.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209033
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.g1.a1', '4.j1.a1', '4.k1.a1', '6.b1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 512, 16, 384, 102, 1364, 768, 392, 960], 'label': '1536.10766179.2.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.g1.a1', '4.j1.a1', '4.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209034
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.f1.a1', '8.g1.a1', '8.h1.a1', '12.o1.a1'], 'core': '4.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [993, 1152, 392, 102, 400, 512, 768, 1364], 'label': '1536.10766179.4.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.k1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.g1.a1', '8.f1.a1', '8.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209035
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '12.k1.a1'], 'contains': ['48.j1.a1', '48.bv1.a1'], 'core': '48.j1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [35, 396], 'label': '1536.10766179.24.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1.a1', 'old_label': '24.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209036
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bh1.a1', '12.b1.a1', '12.q1.a1', '12.q1.b1'], 'contains': ['48.k1.a1', '48.bw1.a1', '48.bx1.a1'], 'core': '48.k1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [972, 96], 'label': '1536.10766179.24.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '24.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209037
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bi1.a1', '12.c1.a1', '12.q1.a1', '12.q1.b1'], 'contains': ['48.k1.a1', '48.cb1.a1', '48.cc1.a1'], 'core': '48.k1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [102, 960], 'label': '1536.10766179.24.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '24.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209038
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '24.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bj1.a1', '12.j1.a1', '12.p1.a1', '12.p1.b1'], 'contains': ['48.k1.a1', '48.by1.a1'], 'core': '48.k1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 972], 'label': '1536.10766179.24.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '24.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209039
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.o1.a1', '16.p1.a1', '16.q1.a1', '16.r1.a1'], 'contains': ['64.a1.a1', '64.b1.a1', '64.c1.a1', '64.d1.a1', '64.e1.a1', '64.f1.a1', '64.g1.a1', '96.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160, 768, 16, 384, 512], 'label': '1536.10766179.32.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1'], 'normal_contains': ['64.a1.a1', '64.b1.a1', '64.c1.a1', '64.f1.a1', '64.g1.a1', '64.d1.a1', '64.e1.a1', '96.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209040
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.e1.a1', '16.e1.b1', '16.t1.a1', '16.w1.a1', '16.y1.a1', '16.z1.a1'], 'contains': ['64.b1.a1', '64.h1.a1', '64.i1.a1', '96.b1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [16, 768, 960, 512, 384], 'label': '1536.10766179.32.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.b1.a1', 'normal_contained_in': ['16.b1.a1', '16.e1.a1', '16.e1.b1'], 'normal_contains': ['64.b1.a1', '64.i1.a1', '64.h1.a1', '96.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209041
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.u1.a1', '16.x1.a1', '16.ba1.a1'], 'contains': ['64.b1.a1', '64.j1.a1', '64.k1.a1', '96.c1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [584, 768, 16, 512, 1152], 'label': '1536.10766179.32.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.c1.a1', 'normal_contained_in': ['16.b1.a1'], 'normal_contains': ['64.b1.a1', '64.j1.a1', '64.k1.a1', '96.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209042
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.d1.a1', '16.f1.a1', '16.g1.a1', '16.g1.b1', '16.h1.a1', '16.h1.b1'], 'contains': ['64.c1.a1', '64.l1.a1', '64.n1.a1', '96.d1.a1'], 'core': '32.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972, 768, 16, 512, 392], 'label': '1536.10766179.32.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.d1.a1', 'normal_contained_in': ['16.c1.a1', '16.d1.a1', '16.f1.a1', '16.g1.a1', '16.g1.b1', '16.h1.b1', '16.h1.a1'], 'normal_contains': ['64.c1.a1', '64.n1.a1', '64.l1.a1', '96.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209043
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.v1.a1', '16.bb1.a1', '16.bc1.a1'], 'contains': ['64.c1.a1', '64.m1.a1', '64.o1.a1', '96.e1.a1'], 'core': '32.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1356, 768, 16, 512, 1160], 'label': '1536.10766179.32.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1.a1', 'normal_contained_in': ['16.c1.a1'], 'normal_contains': ['64.c1.a1', '64.o1.a1', '64.m1.a1', '96.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209044
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.i1.a1', '16.i1.b1', '16.bf1.a1', '16.bh1.a1'], 'contains': ['64.d1.a1', '64.l1.a1', '64.o1.a1', '96.f1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1356, 768, 1168, 512, 1160], 'label': '1536.10766179.32.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.f1.a1', 'normal_contained_in': ['16.c1.a1', '16.i1.b1', '16.i1.a1'], 'normal_contains': ['64.d1.a1', '64.o1.a1', '64.l1.a1', '96.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209045
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.d1.a1', '8.n1.a1', '8.s1.a1', '8.t1.a1', '8.t1.b1', '12.d1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 192, 384, 1160, 16, 512, 768, 96], 'label': '1536.10766179.4.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '4.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209046
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.bg1.a1', '16.bi1.a1', '16.bj1.a1'], 'contains': ['64.d1.a1', '64.m1.a1', '64.n1.a1', '96.g1.a1'], 'core': '32.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972, 768, 1168, 512, 392], 'label': '1536.10766179.32.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.g1.a1', 'normal_contained_in': ['16.c1.a1'], 'normal_contains': ['64.d1.a1', '64.m1.a1', '64.n1.a1', '96.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209047
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.j1.a1', '16.j1.b1', '16.bd1.a1', '16.bk1.a1'], 'contains': ['64.e1.a1', '64.h1.a1', '64.k1.a1', '96.h1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [584, 768, 1360, 512, 1152], 'label': '1536.10766179.32.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1.a1', 'normal_contained_in': ['16.b1.a1', '16.j1.b1', '16.j1.a1'], 'normal_contains': ['64.e1.a1', '64.h1.a1', '64.k1.a1', '96.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209048
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.be1.a1', '16.bl1.a1', '16.bm1.a1'], 'contains': ['64.e1.a1', '64.i1.a1', '64.j1.a1', '96.i1.a1'], 'core': '32.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [408, 768, 960, 512, 384], 'label': '1536.10766179.32.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.i1.a1', 'normal_contained_in': ['16.b1.a1'], 'normal_contains': ['64.e1.a1', '64.i1.a1', '64.j1.a1', '96.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209049
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.k1.a1', '16.l1.a1', '16.bn1.a1'], 'contains': ['64.g1.a1', '64.v1.a1', '96.j1.a1'], 'core': '32.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1172, 768, 384, 512, 776], 'label': '1536.10766179.32.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.j1.a1', 'normal_contained_in': ['16.a1.a1', '16.l1.a1', '16.k1.a1'], 'normal_contains': ['64.g1.a1', '96.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209050
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.m1.a1', '16.n1.a1', '16.bo1.a1', '16.bu1.a1', '16.bu1.b1'], 'contains': ['64.g1.a1', '64.w1.a1', '96.k1.a1'], 'core': '32.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [396, 768, 384, 512, 776], 'label': '1536.10766179.32.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.k1.a1', 'normal_contained_in': ['16.a1.a1', '16.n1.a1', '16.m1.a1'], 'normal_contains': ['64.g1.a1', '96.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209051
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.k1.a1', '16.m1.a1', '16.bp1.a1', '16.bv1.a1'], 'contains': ['64.g1.a1', '64.h1.a1', '64.j1.a1', '96.l1.a1'], 'core': '32.l1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160, 768, 1360, 512, 1152], 'label': '1536.10766179.32.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.l1.a1', 'normal_contained_in': ['16.b1.a1', '16.k1.a1', '16.m1.a1'], 'normal_contains': ['64.g1.a1', '64.h1.a1', '64.j1.a1', '96.l1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209052
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.l1.a1', '16.n1.a1', '16.bq1.a1', '16.bw1.a1', '16.bx1.a1', '16.by1.a1'], 'contains': ['64.g1.a1', '64.i1.a1', '64.k1.a1', '96.m1.a1'], 'core': '32.m1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160, 768, 960, 512, 384], 'label': '1536.10766179.32.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.m1.a1', 'normal_contained_in': ['16.b1.a1', '16.l1.a1', '16.n1.a1'], 'normal_contains': ['64.g1.a1', '64.i1.a1', '64.k1.a1', '96.m1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209053
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.l1.a1', '16.m1.a1', '16.br1.a1', '16.bz1.a1'], 'contains': ['64.g1.a1', '64.l1.a1', '64.m1.a1', '96.n1.a1'], 'core': '32.n1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1364, 768, 384, 512, 1160], 'label': '1536.10766179.32.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.n1.a1', 'normal_contained_in': ['16.c1.a1', '16.l1.a1', '16.m1.a1'], 'normal_contains': ['64.g1.a1', '64.m1.a1', '64.l1.a1', '96.n1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209054
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.k1.a1', '16.n1.a1', '16.bs1.a1', '16.ca1.a1', '16.cb1.a1', '16.cc1.a1'], 'contains': ['64.g1.a1', '64.n1.a1', '64.o1.a1', '96.o1.a1'], 'core': '32.o1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972, 768, 384, 512, 392], 'label': '1536.10766179.32.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.o1.a1', 'normal_contained_in': ['16.c1.a1', '16.k1.a1', '16.n1.a1'], 'normal_contains': ['64.g1.a1', '64.o1.a1', '64.n1.a1', '96.o1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209055
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1'], 'contains': ['64.p1.a1', '64.bf1.a1', '64.bf1.c1', '96.p1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 8, 16, 512, 4], 'label': '1536.10766179.32.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209056
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.e1.a1', '8.n1.a1', '8.s1.a1', '8.v1.a1', '8.v1.b1', '12.e1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 976, 384, 1444, 408, 512, 768, 1344], 'label': '1536.10766179.4.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '4.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209057
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1'], 'contains': ['64.p1.a1', '64.bf1.b1', '64.bf1.d1', '96.p1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [770, 8, 16, 512, 4], 'label': '1536.10766179.32.p1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.p1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.p1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209058
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.b1'], 'contains': ['64.p1.b1', '64.bf1.e1', '64.bf1.f1', '96.p1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1154, 8, 16, 512, 772], 'label': '1536.10766179.32.p1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.p1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.p1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209059
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.b1'], 'contains': ['64.p1.b1', '64.bf1.g1', '64.bf1.h1', '96.p1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [386, 8, 16, 512, 772], 'label': '1536.10766179.32.p1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.p1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.p1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209060
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.b1'], 'contains': ['64.p1.c1', '64.bf1.e1', '64.bf1.h1', '96.p1.e1'], 'core': '256.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1154, 8, 784, 512, 772], 'label': '1536.10766179.32.p1.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.p1.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.p1.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209061
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.b1'], 'contains': ['64.p1.c1', '64.bf1.f1', '64.bf1.g1', '96.p1.f1'], 'core': '256.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [386, 8, 784, 512, 772], 'label': '1536.10766179.32.p1.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.p1.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.p1.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209065
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.s1.a1', '16.s1.b1'], 'contains': ['64.a1.a1', '64.p1.a1', '64.p1.b1', '64.p1.c1', '64.p1.d1', '64.v1.a1', '64.w1.a1', '96.r1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [396, 776, 16, 768, 512], 'label': '1536.10766179.32.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209066
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.p1.a1'], 'contains': ['64.a1.a1', '64.s1.a1', '64.s1.b1', '96.s1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 512, 8, 16, 768], 'label': '1536.10766179.32.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.n1.a1', 'old_label': '32.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209067
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1'], 'contains': ['8.d1.a1', '8.q1.a1', '8.r1.a1', '8.u1.a1', '8.u1.b1', '12.l1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 960, 384, 1160, 16, 512, 768, 96], 'label': '1536.10766179.4.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '4.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209068
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.a1', '16.t1.a1', '16.u1.a1'], 'contains': ['64.b1.a1', '64.q1.a1', '64.r1.a1', '64.x1.a1', '64.y1.a1', '96.t1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [963, 512, 16, 384, 768], 'label': '1536.10766179.32.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.l1.a1', 'old_label': '32.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209069
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.o1.a1', '16.v1.a1'], 'contains': ['64.c1.a1', '64.q1.a1', '64.z1.a1', '64.ba1.a1', '96.u1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1347, 512, 1160, 16, 768], 'label': '1536.10766179.32.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '32.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209070
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.p1.a1', '16.w1.a1', '16.x1.a1'], 'contains': ['64.b1.a1', '64.s1.a1', '64.s1.b1', '96.v1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 512, 384, 16, 768], 'label': '1536.10766179.32.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.n1.a1', 'old_label': '32.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209071
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.q1.a1', '16.t1.a1', '16.u1.a1'], 'contains': ['64.b1.a1', '64.bc1.a1', '96.w1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 512, 16, 384, 768], 'label': '1536.10766179.32.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.l1.a1', 'old_label': '32.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209072
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '16.w1.a1', '16.x1.a1'], 'contains': ['64.b1.a1', '64.bb1.a1', '96.x1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [993, 512, 384, 400, 768], 'label': '1536.10766179.32.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.n1.a1', 'old_label': '32.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209073
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '16.o1.a1', '16.v1.a1'], 'contains': ['64.c1.a1', '64.r1.a1', '64.bd1.a1', '64.be1.a1', '96.y1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [963, 512, 1160, 16, 768], 'label': '1536.10766179.32.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '32.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209074
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '16.p1.a1', '16.bb1.a1'], 'contains': ['64.c1.a1', '64.s1.a1', '96.z1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [417, 512, 1160, 784, 768], 'label': '1536.10766179.32.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '32.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209075
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.b1', '16.p1.a1', '16.bb1.a1'], 'contains': ['64.c1.a1', '64.s1.b1', '96.z1.b1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 512, 1160, 16, 768], 'label': '1536.10766179.32.z1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '32.z1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.z1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209076
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.a1', '16.bf1.a1', '16.bg1.a1'], 'contains': ['64.d1.a1', '64.t1.a1', '64.x1.a1', '64.ba1.a1', '64.be1.a1', '96.ba1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [963, 512, 1160, 1168, 768], 'label': '1536.10766179.32.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209077
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.a1', '16.bd1.a1', '16.be1.a1'], 'contains': ['64.e1.a1', '64.t1.a1', '64.y1.a1', '64.z1.a1', '64.bd1.a1', '96.bb1.a1'], 'core': '64.e1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [963, 512, 408, 384, 768], 'label': '1536.10766179.32.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '32.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209078
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1'], 'contains': ['8.e1.a1', '8.q1.a1', '8.r1.a1', '12.m1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 960, 384, 1444, 976, 512, 768, 408], 'label': '1536.10766179.4.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '4.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209079
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '16.bh1.a1', '16.bi1.a1'], 'contains': ['64.d1.a1', '64.bb1.a1', '96.bc1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [993, 512, 1160, 400, 768], 'label': '1536.10766179.32.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '32.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209080
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.q1.a1', '16.bd1.a1', '16.be1.a1'], 'contains': ['64.e1.a1', '64.bc1.a1', '96.bd1.a1'], 'core': '64.e1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 512, 408, 384, 768], 'label': '1536.10766179.32.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '32.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209081
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.a1'], 'contains': ['64.f1.a1', '64.u1.a1', '64.x1.a1', '64.z1.a1', '64.bd1.a1', '96.be1.a1'], 'core': '64.f1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [963, 512, 8, 1168, 768], 'label': '1536.10766179.32.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '32.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209082
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.a1', '16.bn1.a1', '16.bo1.a1', '16.bp1.a1', '16.bq1.a1', '16.br1.a1', '16.bs1.a1'], 'contains': ['64.g1.a1', '64.u1.a1', '64.y1.a1', '64.ba1.a1', '64.be1.a1', '96.bf1.a1'], 'core': '64.g1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [963, 512, 1160, 384, 768], 'label': '1536.10766179.32.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209083
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.bt1.a1', '16.bt1.b1'], 'contains': ['64.f1.a1', '64.v1.a1', '64.w1.a1', '96.bg1.a1'], 'core': '64.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [396, 768, 1168, 512, 776], 'label': '1536.10766179.32.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209084
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1'], 'contains': ['64.f1.a1', '64.bb1.a1', '96.bh1.a1'], 'core': '64.f1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [993, 512, 8, 400, 768], 'label': '1536.10766179.32.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.o1.a1', 'old_label': '32.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209085
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.q1.a1', '16.bn1.a1', '16.bo1.a1', '16.bp1.a1', '16.bq1.a1', '16.bz1.a1', '16.ca1.a1'], 'contains': ['64.g1.a1', '64.bc1.a1', '96.bi1.a1'], 'core': '64.g1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 512, 1160, 384, 768], 'label': '1536.10766179.32.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209086
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1', '16.bt1.a1', '16.bu1.a1'], 'contains': ['64.w1.a1', '64.bf1.a1', '64.bf1.b1', '96.bj1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 8, 768, 512, 4], 'label': '1536.10766179.32.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209178
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.i1.a1', '12.k1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [33, 2], 'label': '1536.10766179.6.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209087
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.b1', '16.bt1.b1', '16.bu1.a1'], 'contains': ['64.w1.a1', '64.bf1.e1', '64.bf1.g1', '96.bj1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [386, 8, 768, 512, 772], 'label': '1536.10766179.32.bj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.bj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209088
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1', '16.bt1.b1', '16.bu1.b1'], 'contains': ['64.w1.a1', '64.bf1.c1', '64.bf1.d1', '96.bj1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [22, 8, 768, 512, 12], 'label': '1536.10766179.32.bj1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.bj1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bj1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209089
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.l1.a1', '8.ba1.a1', '8.bj1.a1', '12.p1.a1'], 'core': '8.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 1160, 384, 2, 960, 512, 768, 972], 'label': '1536.10766179.4.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209090
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.b1', '16.bt1.a1', '16.bu1.b1'], 'contains': ['64.w1.a1', '64.bf1.f1', '64.bf1.h1', '96.bj1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1174, 8, 768, 512, 780], 'label': '1536.10766179.32.bj1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.bj1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bj1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209091
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.t1.a1', '16.bd1.a1', '16.bp1.a1'], 'contains': ['64.h1.a1', '64.y1.a1', '64.bc1.a1', '96.bk1.a1'], 'core': '64.h1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 512, 1360, 384, 768], 'label': '1536.10766179.32.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.n1.a1', 'old_label': '32.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209092
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.t1.a1', '16.be1.a1', '16.bq1.a1'], 'contains': ['64.i1.a1', '64.y1.a1', '64.bc1.a1', '96.bl1.a1'], 'core': '64.i1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 512, 960, 384, 768], 'label': '1536.10766179.32.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.n1.a1', 'old_label': '32.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209093
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.u1.a1', '16.be1.a1', '16.bp1.a1'], 'contains': ['64.j1.a1', '64.y1.a1', '64.bc1.a1', '96.bm1.a1'], 'core': '64.j1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 512, 216, 384, 768], 'label': '1536.10766179.32.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.n1.a1', 'old_label': '32.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209094
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.u1.a1', '16.bd1.a1', '16.bq1.a1'], 'contains': ['64.k1.a1', '64.y1.a1', '64.bc1.a1', '96.bn1.a1'], 'core': '64.k1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 512, 584, 384, 768], 'label': '1536.10766179.32.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.n1.a1', 'old_label': '32.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209095
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.v1.a1', '16.bg1.a1', '16.br1.a1'], 'contains': ['64.m1.a1', '64.ba1.a1', '64.be1.a1', '96.bo1.a1'], 'core': '64.m1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [963, 512, 980, 392, 768], 'label': '1536.10766179.32.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209096
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.v1.a1', '16.bf1.a1', '16.bs1.a1'], 'contains': ['64.o1.a1', '64.ba1.a1', '64.be1.a1', '96.bp1.a1'], 'core': '64.o1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [963, 512, 1356, 1160, 768], 'label': '1536.10766179.32.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209097
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.bf1.a1', '16.br1.a1'], 'contains': ['64.l1.a1', '64.ba1.a1', '96.bq1.a1'], 'core': '64.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1347, 512, 1364, 392, 768], 'label': '1536.10766179.32.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209098
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.bg1.a1', '16.bs1.a1'], 'contains': ['64.n1.a1', '64.ba1.a1', '96.br1.a1'], 'core': '64.n1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1347, 512, 972, 1160, 768], 'label': '1536.10766179.32.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209099
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.a1', '16.bk1.a1', '16.bv1.a1'], 'contains': ['64.h1.a1', '96.bs1.a1'], 'core': '64.h1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [35, 512, 976, 384, 768], 'label': '1536.10766179.32.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.s1.a1', 'old_label': '32.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209100
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.l1.b1', '8.ba1.a1', '8.bj1.a1', '12.p1.b1'], 'core': '8.l1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 392, 384, 22, 960, 512, 768, 1348], 'label': '1536.10766179.4.p1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.p1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.p1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209101
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '16.bl1.a1', '16.bw1.a1'], 'contains': ['64.i1.a1', '96.bt1.a1'], 'core': '64.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [96, 768, 512, 192, 384], 'label': '1536.10766179.32.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209102
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.b1', '16.bl1.a1', '16.bw1.a1'], 'contains': ['64.i1.a1', '96.bt1.b1'], 'core': '64.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [488, 768, 512, 960, 384], 'label': '1536.10766179.32.bt1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.bt1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bt1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209103
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.y1.a1', '16.bm1.a1', '16.by1.a1'], 'contains': ['64.i1.a1', '96.bu1.a1'], 'core': '64.i1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 512, 960, 384, 768], 'label': '1536.10766179.32.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.r1.a1', 'old_label': '32.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209104
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '16.ba1.a1', '16.bx1.a1'], 'contains': ['64.k1.a1', '96.bv1.a1'], 'core': '64.k1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1444, 768, 512, 1352, 1152], 'label': '1536.10766179.32.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209105
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.b1', '16.ba1.a1', '16.bx1.a1'], 'contains': ['64.k1.a1', '96.bv1.b1'], 'core': '64.k1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1252, 768, 512, 968, 384], 'label': '1536.10766179.32.bv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.j1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.bv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209106
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '16.bf1.a1', '16.br1.a1'], 'contains': ['64.l1.a1', '64.be1.a1', '96.bw1.a1'], 'core': '64.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [963, 512, 1364, 392, 768], 'label': '1536.10766179.32.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209107
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '16.bg1.a1', '16.bs1.a1'], 'contains': ['64.n1.a1', '64.be1.a1', '96.bx1.a1'], 'core': '64.n1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [963, 512, 972, 1160, 768], 'label': '1536.10766179.32.bx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.bx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209108
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '16.bj1.a1', '16.cb1.a1'], 'contains': ['64.n1.a1', '96.by1.a1'], 'core': '64.n1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [102, 768, 512, 204, 392], 'label': '1536.10766179.32.by1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.by1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.by1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209109
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.b1', '16.bj1.a1', '16.cb1.a1'], 'contains': ['64.n1.a1', '96.by1.b1'], 'core': '64.n1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1254, 768, 512, 972, 392], 'label': '1536.10766179.32.by1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.by1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.by1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209111
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1'], 'contains': ['8.l1.a1', '8.bh1.a1', '8.bi1.a1', '12.q1.a1'], 'core': '8.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 192, 8, 96, 4, 768, 384, 512], 'label': '1536.10766179.4.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '4.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209112
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '32.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.b1', '16.bc1.a1', '16.cc1.a1'], 'contains': ['64.o1.a1', '96.bz1.b1'], 'core': '64.o1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1446, 768, 512, 1356, 1160], 'label': '1536.10766179.32.bz1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '32.bz1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bz1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209113
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.g1.a1', '24.j1.a1', '24.k1.a1'], 'contains': ['96.a1.a1', '96.j1.a1', '96.k1.a1', '96.r1.a1', '96.bg1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [396, 16, 384], 'label': '1536.10766179.48.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1'], 'normal_contains': ['96.a1.a1', '96.j1.a1', '96.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209114
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.a1.a1', '24.b1.a1', '24.c1.a1', '24.h1.a1', '24.l1.a1', '24.n1.a1', '24.o1.a1'], 'contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1', '96.h1.a1', '96.i1.a1', '96.l1.a1', '96.m1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160, 16, 960], 'label': '1536.10766179.48.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': ['16.b1.a1', '24.a1.a1', '24.c1.a1', '24.b1.a1'], 'normal_contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1', '96.m1.a1', '96.l1.a1', '96.i1.a1', '96.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209115
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.a1.a1', '24.d1.a1', '24.e1.a1', '24.i1.a1', '24.m1.a1', '24.p1.a1', '24.q1.a1'], 'contains': ['96.a1.a1', '96.d1.a1', '96.e1.a1', '96.f1.a1', '96.g1.a1', '96.n1.a1', '96.o1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972, 16, 384], 'label': '1536.10766179.48.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': ['16.c1.a1', '24.a1.a1', '24.e1.a1', '24.d1.a1'], 'normal_contains': ['96.a1.a1', '96.e1.a1', '96.d1.a1', '96.o1.a1', '96.n1.a1', '96.f1.a1', '96.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209116
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '24.b1.a1', '24.r1.a1', '24.t1.a1'], 'contains': ['96.b1.a1', '96.bt1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [16, 96], 'label': '1536.10766179.48.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': ['16.e1.a1', '24.b1.a1'], 'normal_contains': ['96.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209117
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1.b1', '24.b1.a1', '24.r1.b1', '24.t1.b1'], 'contains': ['96.b1.a1', '96.bt1.b1'], 'core': '48.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [488, 16], 'label': '1536.10766179.48.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.b1', 'normal_contained_in': ['16.e1.b1', '24.b1.a1'], 'normal_contains': ['96.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209118
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '24.d1.a1', '24.s1.b1', '24.u1.a1'], 'contains': ['96.d1.a1', '96.by1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [102, 16], 'label': '1536.10766179.48.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': ['16.h1.a1', '24.d1.a1'], 'normal_contains': ['96.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209119
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.h1.b1', '24.d1.a1', '24.s1.a1', '24.u1.b1'], 'contains': ['96.d1.a1', '96.by1.b1'], 'core': '48.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1254, 16], 'label': '1536.10766179.48.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.b1', 'normal_contained_in': ['16.h1.b1', '24.d1.a1'], 'normal_contains': ['96.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.e1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209120
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '24.e1.a1', '24.w1.a1'], 'contains': ['96.f1.a1', '96.bz1.a1'], 'core': '48.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1062, 1168], 'label': '1536.10766179.48.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1.a1', 'normal_contained_in': ['16.i1.a1', '24.e1.a1'], 'normal_contains': ['96.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209121
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.i1.b1', '24.e1.a1', '24.w1.b1'], 'contains': ['96.f1.a1', '96.bz1.b1'], 'core': '48.f1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1446, 1168], 'label': '1536.10766179.48.f1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1.b1', 'normal_contained_in': ['16.i1.b1', '24.e1.a1'], 'normal_contains': ['96.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.f1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209122
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '4.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1'], 'contains': ['8.l1.b1', '8.bh1.a1', '8.bi1.a1', '12.q1.b1'], 'core': '8.l1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [22, 192, 8, 96, 12, 768, 384, 512], 'label': '1536.10766179.4.q1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '4.q1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.q1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209123
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '24.c1.a1', '24.v1.a1'], 'contains': ['96.h1.a1', '96.bv1.a1'], 'core': '48.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1444, 1360], 'label': '1536.10766179.48.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1.a1', 'normal_contained_in': ['16.j1.a1', '24.c1.a1'], 'normal_contains': ['96.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209124
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.j1.b1', '24.c1.a1', '24.v1.b1'], 'contains': ['96.h1.a1', '96.bv1.b1'], 'core': '48.g1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1252, 1360], 'label': '1536.10766179.48.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1.b1', 'normal_contained_in': ['16.j1.b1', '24.c1.a1'], 'normal_contains': ['96.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.g1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209125
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '24.a1.a1', '24.x1.a1', '24.bb1.a1', '24.bc1.a1'], 'contains': ['96.j1.a1', '96.l1.a1', '96.o1.a1'], 'core': '48.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972, 1360], 'label': '1536.10766179.48.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1.a1', 'normal_contained_in': ['16.k1.a1', '24.a1.a1'], 'normal_contains': ['96.j1.a1', '96.l1.a1', '96.o1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209126
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '24.a1.a1', '24.y1.a1', '24.bd1.a1', '24.be1.a1'], 'contains': ['96.j1.a1', '96.m1.a1', '96.n1.a1'], 'core': '48.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1364, 960], 'label': '1536.10766179.48.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.i1.a1', 'normal_contained_in': ['16.l1.a1', '24.a1.a1'], 'normal_contains': ['96.j1.a1', '96.m1.a1', '96.n1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209127
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.m1.a1', '24.a1.a1', '24.z1.a1', '24.bf1.a1', '24.bg1.a1'], 'contains': ['96.k1.a1', '96.l1.a1', '96.n1.a1'], 'core': '48.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [396, 1360], 'label': '1536.10766179.48.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.j1.a1', 'normal_contained_in': ['16.m1.a1', '24.a1.a1'], 'normal_contains': ['96.k1.a1', '96.l1.a1', '96.n1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209128
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '24.a1.a1', '24.f1.a1', '24.f1.b1', '24.ba1.a1', '24.bh1.a1', '24.bi1.a1', '24.bj1.a1'], 'contains': ['96.k1.a1', '96.m1.a1', '96.o1.a1'], 'core': '48.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972, 960], 'label': '1536.10766179.48.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.k1.a1', 'normal_contained_in': ['16.n1.a1', '24.a1.a1', '24.f1.a1', '24.f1.b1'], 'normal_contains': ['96.k1.a1', '96.m1.a1', '96.o1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209129
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.a1', '24.g1.a1', '24.h1.a1', '24.i1.a1'], 'contains': ['96.a1.a1', '96.q1.a1', '96.t1.a1', '96.u1.a1', '96.y1.a1', '96.ba1.a1', '96.bb1.a1', '96.be1.a1', '96.bf1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [963, 1160, 16, 384], 'label': '1536.10766179.48.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '48.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209130
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.p1.a1', '24.j1.a1', '24.l1.a1', '24.m1.a1'], 'contains': ['96.a1.a1', '96.s1.a1', '96.v1.a1', '96.z1.a1', '96.z1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [33, 1160, 384], 'label': '1536.10766179.48.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '48.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209131
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.q1.a1', '24.g1.a1', '24.h1.a1', '24.p1.a1'], 'contains': ['96.a1.a1', '96.w1.a1', '96.bd1.a1', '96.bi1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [3, 1160, 16], 'label': '1536.10766179.48.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '48.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209132
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '24.j1.a1', '24.l1.a1', '24.q1.a1'], 'contains': ['96.a1.a1', '96.x1.a1', '96.bc1.a1', '96.bh1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [993, 1160, 384], 'label': '1536.10766179.48.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '48.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209133
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '6.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': ['256.e1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1', '12.q1.a1', '12.q1.b1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 16, 96], 'label': '1536.10766179.6.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.f1.a1'], 'normal_contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209134
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1', '24.k1.a1'], 'contains': ['96.p1.a1', '96.p1.b1', '96.p1.g1', '96.p1.h1', '96.r1.a1', '96.bj1.a1', '96.bj1.c1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 16, 768], 'label': '1536.10766179.48.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '48.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209135
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.b1', '24.k1.a1'], 'contains': ['96.p1.c1', '96.p1.d1', '96.p1.e1', '96.p1.f1', '96.r1.a1', '96.bj1.b1', '96.bj1.d1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [386, 16, 768], 'label': '1536.10766179.48.p1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '48.p1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.p1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209136
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.t1.a1', '24.h1.a1', '24.r1.a1', '24.r1.b1'], 'contains': ['96.b1.a1', '96.t1.a1', '96.w1.a1', '96.bk1.a1', '96.bl1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 16, 960], 'label': '1536.10766179.48.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209137
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.u1.a1', '24.h1.a1'], 'contains': ['96.c1.a1', '96.t1.a1', '96.w1.a1', '96.bm1.a1', '96.bn1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 584, 16], 'label': '1536.10766179.48.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209138
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.v1.a1', '24.i1.a1'], 'contains': ['96.e1.a1', '96.u1.a1', '96.y1.a1', '96.bo1.a1', '96.bp1.a1'], 'core': '96.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [963, 1356, 16], 'label': '1536.10766179.48.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '48.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209139
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '24.i1.a1', '24.s1.a1', '24.s1.b1'], 'contains': ['96.d1.a1', '96.u1.a1', '96.bq1.a1', '96.br1.a1'], 'core': '96.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1347, 972, 16], 'label': '1536.10766179.48.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '48.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209140
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.w1.a1', '24.l1.a1', '24.t1.a1', '24.t1.b1'], 'contains': ['96.b1.a1', '96.v1.a1', '96.x1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [33, 960], 'label': '1536.10766179.48.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '48.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209141
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.x1.a1', '24.l1.a1'], 'contains': ['96.c1.a1', '96.v1.a1', '96.x1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [33, 584], 'label': '1536.10766179.48.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '48.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209142
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.w1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.y1.a1', '24.n1.a1', '24.t1.a1', '24.t1.b1'], 'contains': ['96.b1.a1', '96.bu1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 16], 'label': '1536.10766179.48.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '48.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209143
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.x1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.a1', '24.o1.a1', '24.r1.a1', '24.r1.b1'], 'contains': ['96.b1.a1', '96.bs1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [35, 960], 'label': '1536.10766179.48.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209144
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.e1.a1', '4.h1.a1', '4.p1.a1', '4.p1.b1', '6.c1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 512, 960, 1160, 2, 972, 768, 384, 16], 'label': '1536.10766179.2.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.e1.a1', '4.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209145
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.f1.a1', '12.g1.a1', '12.h1.a1', '12.i1.a1', '12.n1.a1', '12.o1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [33, 102, 960], 'label': '1536.10766179.6.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209146
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '24.c1.a1'], 'contains': ['96.c1.a1', '96.bv1.a1', '96.bv1.b1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1444, 16], 'label': '1536.10766179.48.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '48.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209147
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '24.i1.a1', '24.u1.a1', '24.u1.b1'], 'contains': ['96.d1.a1', '96.y1.a1', '96.bw1.a1', '96.bx1.a1'], 'core': '96.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [963, 972, 16], 'label': '1536.10766179.48.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '48.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209148
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '24.m1.a1', '24.s1.a1', '24.u1.a1'], 'contains': ['96.d1.a1', '96.z1.a1'], 'core': '96.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [417, 972], 'label': '1536.10766179.48.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '48.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209149
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.b1', '24.m1.a1', '24.s1.b1', '24.u1.b1'], 'contains': ['96.d1.a1', '96.z1.b1'], 'core': '96.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [33, 972], 'label': '1536.10766179.48.ba1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '48.ba1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ba1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209150
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bb1.a1', '24.m1.a1'], 'contains': ['96.e1.a1', '96.z1.a1', '96.z1.b1'], 'core': '96.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [33, 1356], 'label': '1536.10766179.48.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '48.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209151
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a1', '24.e1.a1'], 'contains': ['96.e1.a1', '96.bz1.a1', '96.bz1.b1'], 'core': '96.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1446, 16], 'label': '1536.10766179.48.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '48.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209152
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bd1.a1', '24.h1.a1', '24.v1.a1', '24.v1.b1'], 'contains': ['96.h1.a1', '96.bb1.a1', '96.bd1.a1', '96.bk1.a1', '96.bn1.a1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 584, 1360], 'label': '1536.10766179.48.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209179
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bz1.a1', '24.p1.a1', '24.y1.a1', '24.z1.a1'], 'contains': ['96.n1.a1', '96.bi1.a1'], 'core': '96.n1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [3, 1364], 'label': '1536.10766179.48.bz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.bz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209153
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.a1', '24.h1.a1'], 'contains': ['96.i1.a1', '96.bb1.a1', '96.bd1.a1', '96.bl1.a1', '96.bm1.a1'], 'core': '96.i1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 408, 960], 'label': '1536.10766179.48.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209154
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.a1', '24.i1.a1', '24.w1.a1', '24.w1.b1'], 'contains': ['96.f1.a1', '96.ba1.a1', '96.bp1.a1', '96.bq1.a1', '96.bw1.a1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [963, 1356, 1168], 'label': '1536.10766179.48.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209155
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bg1.a1', '24.i1.a1'], 'contains': ['96.g1.a1', '96.ba1.a1', '96.bo1.a1', '96.br1.a1', '96.bx1.a1'], 'core': '96.g1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [963, 972, 1168], 'label': '1536.10766179.48.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '48.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209156
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.f1.a1', '12.j1.a1', '12.p1.a1', '12.p1.b1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 2, 16], 'label': '1536.10766179.6.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209157
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bh1.a1', '24.q1.a1', '24.w1.a1', '24.w1.b1'], 'contains': ['96.f1.a1', '96.bc1.a1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [993, 1356], 'label': '1536.10766179.48.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209158
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.a1', '24.q1.a1'], 'contains': ['96.g1.a1', '96.bc1.a1'], 'core': '96.g1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [993, 972], 'label': '1536.10766179.48.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1.a1', 'old_label': '48.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209159
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bj1.a1', '24.d1.a1'], 'contains': ['96.g1.a1', '96.by1.a1', '96.by1.b1'], 'core': '96.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [102, 1168], 'label': '1536.10766179.48.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '48.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209160
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bk1.a1', '24.o1.a1', '24.v1.a1', '24.v1.b1'], 'contains': ['96.h1.a1', '96.bs1.a1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [35, 584], 'label': '1536.10766179.48.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209161
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bl1.a1', '24.b1.a1'], 'contains': ['96.i1.a1', '96.bt1.a1', '96.bt1.b1'], 'core': '96.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [408, 96], 'label': '1536.10766179.48.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '48.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209162
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bm1.a1', '24.n1.a1'], 'contains': ['96.i1.a1', '96.bu1.a1'], 'core': '96.i1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 408], 'label': '1536.10766179.48.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '48.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209163
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bn1.a1', '24.g1.a1', '24.x1.a1', '24.y1.a1'], 'contains': ['96.j1.a1', '96.bf1.a1', '96.bi1.a1'], 'core': '96.j1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 1172], 'label': '1536.10766179.48.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.f1.a1', 'old_label': '48.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209164
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.a1', '24.g1.a1', '24.z1.a1', '24.ba1.a1'], 'contains': ['96.k1.a1', '96.bf1.a1', '96.bi1.a1'], 'core': '96.k1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 396], 'label': '1536.10766179.48.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.f1.a1', 'old_label': '48.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209165
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bp1.a1', '24.h1.a1', '24.x1.a1', '24.z1.a1'], 'contains': ['96.l1.a1', '96.bf1.a1', '96.bi1.a1', '96.bk1.a1', '96.bm1.a1'], 'core': '96.l1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 1160, 1360], 'label': '1536.10766179.48.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.f1.a1', 'old_label': '48.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209166
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bq1.a1', '24.h1.a1', '24.y1.a1', '24.ba1.a1'], 'contains': ['96.m1.a1', '96.bf1.a1', '96.bi1.a1', '96.bl1.a1', '96.bn1.a1'], 'core': '96.m1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 1160, 960], 'label': '1536.10766179.48.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.f1.a1', 'old_label': '48.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209167
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.d1.a1', '12.e1.a1', '12.f1.a1', '12.k1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [3, 972, 96], 'label': '1536.10766179.6.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209168
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.br1.a1', '24.i1.a1', '24.y1.a1', '24.z1.a1'], 'contains': ['96.n1.a1', '96.bf1.a1', '96.bo1.a1', '96.bq1.a1', '96.bw1.a1'], 'core': '96.n1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [963, 1364, 384], 'label': '1536.10766179.48.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209169
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bs1.a1', '24.i1.a1', '24.x1.a1', '24.ba1.a1'], 'contains': ['96.o1.a1', '96.bf1.a1', '96.bp1.a1', '96.br1.a1', '96.bx1.a1'], 'core': '96.o1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [963, 972, 384], 'label': '1536.10766179.48.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '48.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209170
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bt1.a1', '24.k1.a1'], 'contains': ['96.bg1.a1', '96.bj1.a1', '96.bj1.d1'], 'core': '192.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 1168], 'label': '1536.10766179.48.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '48.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209171
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bt1.b1', '24.k1.a1'], 'contains': ['96.bg1.a1', '96.bj1.b1', '96.bj1.c1'], 'core': '192.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [386, 1168], 'label': '1536.10766179.48.bt1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '48.bt1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bt1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209172
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bu1.a1', '24.f1.a1', '24.k1.a1', '24.bf1.a1'], 'contains': ['96.k1.a1', '96.bj1.a1', '96.bj1.b1'], 'core': '96.k1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 384], 'label': '1536.10766179.48.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '48.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209173
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bu1.b1', '24.f1.b1', '24.k1.a1', '24.bf1.a1'], 'contains': ['96.k1.a1', '96.bj1.c1', '96.bj1.d1'], 'core': '96.k1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [22, 384], 'label': '1536.10766179.48.bu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '48.bu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209174
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bv1.a1', '24.o1.a1', '24.bc1.a1', '24.bg1.a1'], 'contains': ['96.l1.a1', '96.bs1.a1'], 'core': '96.l1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [35, 1160], 'label': '1536.10766179.48.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1.a1', 'old_label': '48.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209175
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bw1.a1', '24.b1.a1', '24.bd1.a1', '24.bh1.a1'], 'contains': ['96.m1.a1', '96.bt1.a1', '96.bt1.b1'], 'core': '96.m1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1160, 96], 'label': '1536.10766179.48.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '48.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209176
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bx1.a1', '24.c1.a1', '24.bd1.a1', '24.bh1.a1'], 'contains': ['96.m1.a1', '96.bv1.a1', '96.bv1.b1'], 'core': '96.m1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1444, 1344], 'label': '1536.10766179.48.bx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '48.bx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209181
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cb1.a1', '24.d1.a1', '24.bb1.a1', '24.bi1.a1'], 'contains': ['96.o1.a1', '96.by1.a1', '96.by1.b1'], 'core': '96.o1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [102, 384], 'label': '1536.10766179.48.cb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '48.cb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209182
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '48.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cc1.a1', '24.e1.a1', '24.bb1.a1', '24.bi1.a1'], 'contains': ['96.o1.a1', '96.bz1.a1', '96.bz1.b1'], 'core': '96.o1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1446, 384], 'label': '1536.10766179.48.cc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '48.cc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209183
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.q1.a1', '32.r1.a1', '32.s1.a1'], 'contains': ['128.a1.a1', '128.b1.a1', '128.c1.a1', '128.h1.a1', '128.h1.b1', '192.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 16, 768, 512], 'label': '1536.10766179.64.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['128.a1.a1', '128.c1.a1', '128.b1.a1', '192.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209184
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.t1.a1', '32.v1.a1', '32.w1.a1', '32.x1.a1'], 'contains': ['128.a1.a1', '128.d1.a1', '128.e1.a1', '192.b1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [16, 384, 512, 768], 'label': '1536.10766179.64.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.b1.a1', 'normal_contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'normal_contains': ['128.a1.a1', '128.d1.a1', '128.e1.a1', '192.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209185
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.d1.a1', '32.e1.a1', '32.u1.a1', '32.y1.a1', '32.z1.a1', '32.z1.b1'], 'contains': ['128.a1.a1', '128.f1.a1', '128.g1.a1', '192.c1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160, 16, 512, 768], 'label': '1536.10766179.64.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.c1.a1', 'normal_contained_in': ['32.a1.a1', '32.e1.a1', '32.d1.a1'], 'normal_contains': ['128.a1.a1', '128.g1.a1', '128.f1.a1', '192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209186
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.f1.a1', '32.g1.a1', '32.ba1.a1', '32.bc1.a1'], 'contains': ['128.b1.a1', '128.d1.a1', '128.g1.a1', '192.d1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160, 1168, 512, 768], 'label': '1536.10766179.64.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.d1.a1', 'normal_contained_in': ['32.a1.a1', '32.f1.a1', '32.g1.a1'], 'normal_contains': ['128.b1.a1', '128.d1.a1', '128.g1.a1', '192.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209187
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.h1.a1', '32.i1.a1', '32.bb1.a1', '32.bd1.a1'], 'contains': ['128.b1.a1', '128.e1.a1', '128.f1.a1', '192.e1.a1'], 'core': '64.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [408, 384, 512, 768], 'label': '1536.10766179.64.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.e1.a1', 'normal_contained_in': ['32.a1.a1', '32.i1.a1', '32.h1.a1'], 'normal_contains': ['128.b1.a1', '128.e1.a1', '128.f1.a1', '192.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209188
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.be1.a1', '32.bg1.a1', '32.bh1.a1'], 'contains': ['128.c1.a1', '128.d1.a1', '128.f1.a1', '192.f1.a1'], 'core': '64.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 1168, 512, 768], 'label': '1536.10766179.64.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.f1.a1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['128.c1.a1', '128.d1.a1', '128.f1.a1', '192.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209189
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.i1.a1', '12.j1.a1', '12.l1.a1', '12.m1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 972, 96], 'label': '1536.10766179.6.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209190
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.j1.a1', '32.k1.a1', '32.l1.a1', '32.m1.a1', '32.n1.a1', '32.o1.a1', '32.bf1.a1', '32.bi1.a1'], 'contains': ['128.c1.a1', '128.e1.a1', '128.g1.a1', '192.g1.a1'], 'core': '64.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160, 384, 512, 768], 'label': '1536.10766179.64.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.g1.a1', 'normal_contained_in': ['32.a1.a1', '32.j1.a1', '32.k1.a1', '32.m1.a1', '32.l1.a1', '32.o1.a1', '32.n1.a1'], 'normal_contains': ['128.c1.a1', '128.e1.a1', '128.g1.a1', '192.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209191
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '32.h1.a1', '32.l1.a1', '32.bk1.a1', '32.bs1.a1'], 'contains': ['128.e1.a1', '192.h1.a1'], 'core': '64.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1360, 512, 1152, 768], 'label': '1536.10766179.64.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.h1.a1', 'normal_contained_in': ['32.b1.a1', '32.l1.a1', '32.h1.a1'], 'normal_contains': ['128.e1.a1', '192.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209192
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '32.i1.a1', '32.m1.a1', '32.bl1.a1', '32.bt1.a1', '32.bt1.b1', '32.bu1.a1'], 'contains': ['128.e1.a1', '192.i1.a1'], 'core': '64.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [960, 512, 384, 768], 'label': '1536.10766179.64.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.i1.a1', 'normal_contained_in': ['32.b1.a1', '32.m1.a1', '32.i1.a1'], 'normal_contains': ['128.e1.a1', '192.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209193
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '32.i1.a1', '32.l1.a1', '32.bm1.a1'], 'contains': ['128.e1.a1', '192.j1.a1'], 'core': '64.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [216, 512, 384, 768], 'label': '1536.10766179.64.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.j1.a1', 'normal_contained_in': ['32.c1.a1', '32.l1.a1', '32.i1.a1'], 'normal_contains': ['128.e1.a1', '192.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209194
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '32.h1.a1', '32.m1.a1', '32.bn1.a1', '32.bv1.a1', '32.bv1.b1'], 'contains': ['128.e1.a1', '192.k1.a1'], 'core': '64.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [584, 512, 1152, 768], 'label': '1536.10766179.64.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.k1.a1', 'normal_contained_in': ['32.c1.a1', '32.m1.a1', '32.h1.a1'], 'normal_contains': ['128.e1.a1', '192.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209195
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '32.f1.a1', '32.n1.a1', '32.bq1.a1', '32.bw1.a1'], 'contains': ['128.g1.a1', '192.l1.a1'], 'core': '64.l1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1364, 512, 1160, 768], 'label': '1536.10766179.64.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.l1.a1', 'normal_contained_in': ['32.d1.a1', '32.n1.a1', '32.f1.a1'], 'normal_contains': ['128.g1.a1', '192.l1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209196
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.e1.a1', '32.g1.a1', '32.n1.a1', '32.bo1.a1'], 'contains': ['128.g1.a1', '192.m1.a1'], 'core': '64.m1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [980, 512, 392, 768], 'label': '1536.10766179.64.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.m1.a1', 'normal_contained_in': ['32.e1.a1', '32.n1.a1', '32.g1.a1'], 'normal_contains': ['128.g1.a1', '192.m1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209197
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '32.g1.a1', '32.o1.a1', '32.br1.a1', '32.bx1.a1', '32.by1.a1', '32.by1.b1'], 'contains': ['128.g1.a1', '192.n1.a1'], 'core': '64.n1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972, 512, 392, 768], 'label': '1536.10766179.64.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.n1.a1', 'normal_contained_in': ['32.d1.a1', '32.o1.a1', '32.g1.a1'], 'normal_contains': ['128.g1.a1', '192.n1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209198
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.e1.a1', '32.f1.a1', '32.o1.a1', '32.bp1.a1', '32.bz1.a1', '32.bz1.b1'], 'contains': ['128.g1.a1', '192.o1.a1'], 'core': '64.o1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1356, 512, 1160, 768], 'label': '1536.10766179.64.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.o1.a1', 'normal_contained_in': ['32.e1.a1', '32.o1.a1', '32.f1.a1'], 'normal_contains': ['128.g1.a1', '192.o1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209199
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.a1', '32.p1.b1', '32.r1.a1'], 'contains': ['128.h1.a1', '128.m1.a1', '128.n1.a1', '192.p1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [396, 16, 512, 776], 'label': '1536.10766179.64.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '64.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209200
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.j1.a1', '12.k1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 102], 'label': '1536.10766179.6.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209201
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.c1', '32.p1.d1', '32.r1.a1'], 'contains': ['128.h1.a1', '128.m1.b1', '128.n1.b1', '192.p1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1164, 16, 512, 776], 'label': '1536.10766179.64.p1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '64.p1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.p1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209202
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.e1', '32.p1.f1', '32.r1.a1'], 'contains': ['128.h1.b1', '128.m1.a1', '128.n1.b1', '192.p1.c1'], 'core': '256.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1164, 784, 512, 776], 'label': '1536.10766179.64.p1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '64.p1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.p1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209203
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.g1', '32.p1.h1', '32.r1.a1'], 'contains': ['128.h1.b1', '128.m1.b1', '128.n1.a1', '192.p1.d1'], 'core': '256.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [396, 784, 512, 776], 'label': '1536.10766179.64.p1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '64.p1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.p1.d1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209204
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.q1.a1', '32.t1.a1', '32.u1.a1'], 'contains': ['128.a1.a1', '128.i1.a1', '128.i1.b1', '128.k1.a1', '192.q1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1347, 16, 768, 512], 'label': '1536.10766179.64.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.l1.a1', 'old_label': '64.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209205
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.q1.a1', '32.t1.a1', '32.y1.a1'], 'contains': ['128.a1.a1', '128.l1.a1', '192.r1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [963, 16, 768, 512], 'label': '1536.10766179.64.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.l1.a1', 'old_label': '64.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209206
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.s1.a1', '32.v1.a1', '32.z1.a1'], 'contains': ['128.a1.a1', '128.j1.b1', '192.s1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [417, 768, 784, 512], 'label': '1536.10766179.64.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.n1.a1', 'old_label': '64.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209207
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.s1.a1', '32.v1.a1', '32.z1.b1'], 'contains': ['128.a1.a1', '128.j1.a1', '192.s1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 768, 16, 512], 'label': '1536.10766179.64.s1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.n1.a1', 'old_label': '64.s1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.s1.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209208
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.q1.a1', '32.ba1.a1', '32.bb1.a1'], 'contains': ['128.b1.a1', '128.k1.a1', '128.l1.a1', '192.t1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [963, 24, 768, 512], 'label': '1536.10766179.64.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.n1.a1', 'old_label': '64.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209209
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.q1.a1', '32.be1.a1', '32.bf1.a1'], 'contains': ['128.c1.a1', '128.k1.a1', '128.l1.a1', '192.u1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [963, 8, 768, 512], 'label': '1536.10766179.64.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.n1.a1', 'old_label': '64.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209210
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.j1.a1', '32.r1.a1', '32.bg1.a1'], 'contains': ['128.c1.a1', '128.m1.a1', '128.m1.b1', '192.v1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1172, 768, 512, 776], 'label': '1536.10766179.64.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '64.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209211
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.c1.a1', '16.d1.a1', '16.f1.a1', '16.o1.a1', '16.v1.a1', '16.bf1.a1', '16.bg1.a1', '16.br1.a1', '16.bs1.a1', '24.i1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [963, 768, 1160, 972, 512, 16, 384], 'label': '1536.10766179.8.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'normal_contains': ['16.c1.a1', '16.d1.a1', '16.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209212
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.k1.a1', '32.r1.a1', '32.bg1.a1', '32.bj1.a1', '32.bj1.b1', '32.bj1.c1', '32.bj1.d1'], 'contains': ['128.c1.a1', '128.n1.a1', '128.n1.b1', '192.w1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [396, 768, 512, 776], 'label': '1536.10766179.64.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '64.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209213
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.t1.a1', '32.ba1.a1', '32.be1.a1'], 'contains': ['128.d1.a1', '128.k1.a1', '128.l1.a1', '192.x1.a1'], 'core': '128.d1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [963, 1168, 768, 512], 'label': '1536.10766179.64.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.n1.a1', 'old_label': '64.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209214
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.t1.a1', '32.bb1.a1', '32.bf1.a1', '32.bk1.a1', '32.bl1.a1', '32.bm1.a1', '32.bn1.a1'], 'contains': ['128.e1.a1', '128.k1.a1', '128.l1.a1', '192.y1.a1'], 'core': '128.e1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [963, 384, 768, 512], 'label': '1536.10766179.64.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.n1.a1', 'old_label': '64.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209215
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.u1.a1', '32.bb1.a1', '32.be1.a1'], 'contains': ['128.f1.a1', '128.k1.a1', '192.z1.a1'], 'core': '128.f1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1347, 408, 768, 512], 'label': '1536.10766179.64.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '64.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209216
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.u1.a1', '32.ba1.a1', '32.bf1.a1', '32.bo1.a1', '32.bp1.a1', '32.bq1.a1', '32.br1.a1'], 'contains': ['128.g1.a1', '128.k1.a1', '192.ba1.a1'], 'core': '128.g1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1347, 1160, 768, 512], 'label': '1536.10766179.64.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '64.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209217
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.x1.a1', '32.bc1.a1', '32.bh1.a1'], 'contains': ['128.d1.a1', '192.bb1.a1'], 'core': '128.d1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [993, 400, 768, 512], 'label': '1536.10766179.64.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.q1.a1', 'old_label': '64.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209218
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.w1.a1', '32.bd1.a1', '32.bi1.a1', '32.bk1.a1', '32.bl1.a1', '32.bm1.a1', '32.bn1.a1'], 'contains': ['128.e1.a1', '192.bc1.a1'], 'core': '128.e1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 384, 768, 512], 'label': '1536.10766179.64.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.n1.a1', 'old_label': '64.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209302
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.by1.b1', '48.e1.b1', '48.bj1.a1', '48.cb1.a1'], 'contains': ['192.n1.a1'], 'core': '192.n1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1254], 'label': '1536.10766179.96.by1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.by1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.by1.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209219
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y1.a1', '32.bb1.a1', '32.be1.a1'], 'contains': ['128.f1.a1', '128.l1.a1', '192.bd1.a1'], 'core': '128.f1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [963, 408, 768, 512], 'label': '1536.10766179.64.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '64.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209220
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y1.a1', '32.ba1.a1', '32.bf1.a1', '32.bo1.a1', '32.bp1.a1', '32.bw1.a1', '32.bx1.a1'], 'contains': ['128.g1.a1', '128.l1.a1', '192.be1.a1'], 'core': '128.g1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [963, 1160, 768, 512], 'label': '1536.10766179.64.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '64.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209221
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.a1', '32.p1.g1', '32.bj1.a1'], 'contains': ['128.n1.a1', '192.bf1.a1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 512, 4, 8], 'label': '1536.10766179.64.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '64.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209222
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.g1.a1', '4.h1.a1', '4.i1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.k1.a1', '16.l1.a1', '16.m1.a1', '16.n1.a1', '24.a1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972, 384, 392, 16, 768, 960, 512], 'label': '1536.10766179.8.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.g1.a1', '4.i1.a1', '4.h1.a1'], 'normal_contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.l1.a1', '16.k1.a1', '16.n1.a1', '16.m1.a1', '24.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209223
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.b1', '32.p1.h1', '32.bj1.a1'], 'contains': ['128.n1.a1', '192.bf1.b1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [770, 512, 4, 8], 'label': '1536.10766179.64.bf1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '64.bf1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bf1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209224
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.a1', '32.p1.h1', '32.bj1.c1'], 'contains': ['128.n1.a1', '192.bf1.c1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [22, 512, 12, 8], 'label': '1536.10766179.64.bf1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '64.bf1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bf1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209225
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.b1', '32.p1.g1', '32.bj1.c1'], 'contains': ['128.n1.a1', '192.bf1.d1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [790, 512, 12, 8], 'label': '1536.10766179.64.bf1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '64.bf1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bf1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209226
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.c1', '32.p1.e1', '32.bj1.b1'], 'contains': ['128.n1.b1', '192.bf1.e1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1154, 512, 772, 8], 'label': '1536.10766179.64.bf1.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '64.bf1.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bf1.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209227
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.c1', '32.p1.f1', '32.bj1.d1'], 'contains': ['128.n1.b1', '192.bf1.f1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [406, 512, 780, 8], 'label': '1536.10766179.64.bf1.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '64.bf1.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bf1.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209228
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.d1', '32.p1.f1', '32.bj1.b1'], 'contains': ['128.n1.b1', '192.bf1.g1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [386, 512, 772, 8], 'label': '1536.10766179.64.bf1.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '64.bf1.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bf1.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209229
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '64.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.d1', '32.p1.e1', '32.bj1.d1'], 'contains': ['128.n1.b1', '192.bf1.h1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1174, 512, 780, 8], 'label': '1536.10766179.64.bf1.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '64.bf1.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bf1.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209230
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1', '48.b1.a1', '48.c1.a1', '48.l1.a1', '48.m1.a1', '48.n1.a1', '48.o1.a1'], 'contains': ['192.a1.a1', '192.b1.a1', '192.c1.a1', '192.d1.a1', '192.e1.a1', '192.f1.a1', '192.g1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160, 16, 384], 'label': '1536.10766179.96.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.a1', '48.b1.a1', '48.c1.a1'], 'normal_contains': ['192.a1.a1', '192.b1.a1', '192.c1.a1', '192.f1.a1', '192.g1.a1', '192.d1.a1', '192.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209231
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '48.b1.a1', '48.d1.a1', '48.d1.b1', '48.q1.a1', '48.u1.a1', '48.w1.a1', '48.x1.a1'], 'contains': ['192.b1.a1', '192.h1.a1', '192.i1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [16, 960], 'label': '1536.10766179.96.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1.a1', 'normal_contained_in': ['32.b1.a1', '48.b1.a1', '48.d1.a1', '48.d1.b1'], 'normal_contains': ['192.b1.a1', '192.i1.a1', '192.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209232
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '48.b1.a1', '48.r1.a1', '48.v1.a1', '48.y1.a1'], 'contains': ['192.b1.a1', '192.j1.a1', '192.k1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [584, 16], 'label': '1536.10766179.96.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1.a1', 'normal_contained_in': ['32.c1.a1', '48.b1.a1'], 'normal_contains': ['192.b1.a1', '192.j1.a1', '192.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209233
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.d1.a1', '4.j1.a1'], 'contains': ['16.c1.a1', '16.g1.a1', '16.g1.b1', '16.p1.a1', '16.bb1.a1', '24.m1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 768, 16, 972, 512, 384, 1160], 'label': '1536.10766179.8.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.b1.a1', '4.d1.a1', '4.j1.a1'], 'normal_contains': ['16.c1.a1', '16.g1.a1', '16.g1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209234
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '48.c1.a1', '48.e1.a1', '48.e1.b1', '48.t1.a1', '48.z1.a1', '48.ba1.a1', '48.ba1.b1'], 'contains': ['192.c1.a1', '192.l1.a1', '192.n1.a1'], 'core': '96.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972, 16], 'label': '1536.10766179.96.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.d1.a1', 'normal_contained_in': ['32.d1.a1', '48.c1.a1', '48.e1.b1', '48.e1.a1'], 'normal_contains': ['192.c1.a1', '192.n1.a1', '192.l1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209235
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.e1.a1', '48.c1.a1', '48.s1.a1', '48.bb1.a1', '48.bc1.a1'], 'contains': ['192.c1.a1', '192.m1.a1', '192.o1.a1'], 'core': '96.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1356, 16], 'label': '1536.10766179.96.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1.a1', 'normal_contained_in': ['32.e1.a1', '48.c1.a1'], 'normal_contains': ['192.c1.a1', '192.o1.a1', '192.m1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209236
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.f1.a1', '48.c1.a1', '48.f1.a1', '48.f1.b1', '48.bf1.a1', '48.bh1.a1'], 'contains': ['192.d1.a1', '192.l1.a1', '192.o1.a1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1356, 1168], 'label': '1536.10766179.96.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.f1.a1', 'normal_contained_in': ['32.f1.a1', '48.c1.a1', '48.f1.b1', '48.f1.a1'], 'normal_contains': ['192.d1.a1', '192.o1.a1', '192.l1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209303
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bz1.a1', '48.f1.a1', '48.bc1.a1', '48.cc1.a1'], 'contains': ['192.o1.a1'], 'core': '192.o1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1062], 'label': '1536.10766179.96.bz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.bz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209237
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.g1.a1', '48.c1.a1', '48.bg1.a1', '48.bi1.a1', '48.bj1.a1'], 'contains': ['192.d1.a1', '192.m1.a1', '192.n1.a1'], 'core': '96.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972, 1168], 'label': '1536.10766179.96.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.g1.a1', 'normal_contained_in': ['32.g1.a1', '48.c1.a1'], 'normal_contains': ['192.d1.a1', '192.m1.a1', '192.n1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209238
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.h1.a1', '48.b1.a1', '48.g1.a1', '48.g1.b1', '48.bd1.a1', '48.bk1.a1'], 'contains': ['192.e1.a1', '192.h1.a1', '192.k1.a1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [584, 1360], 'label': '1536.10766179.96.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.h1.a1', 'normal_contained_in': ['32.h1.a1', '48.b1.a1', '48.g1.b1', '48.g1.a1'], 'normal_contains': ['192.e1.a1', '192.h1.a1', '192.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209239
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.i1.a1', '48.b1.a1', '48.be1.a1', '48.bl1.a1', '48.bm1.a1'], 'contains': ['192.e1.a1', '192.i1.a1', '192.j1.a1'], 'core': '96.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [408, 960], 'label': '1536.10766179.96.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.i1.a1', 'normal_contained_in': ['32.i1.a1', '48.b1.a1'], 'normal_contains': ['192.e1.a1', '192.i1.a1', '192.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209240
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.j1.a1', '48.a1.a1', '48.h1.a1', '48.i1.a1', '48.bn1.a1'], 'contains': ['192.g1.a1', '192.v1.a1'], 'core': '96.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1172, 384], 'label': '1536.10766179.96.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.j1.a1', 'normal_contained_in': ['32.j1.a1', '48.a1.a1', '48.i1.a1', '48.h1.a1'], 'normal_contains': ['192.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209241
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.k1.a1', '48.a1.a1', '48.j1.a1', '48.k1.a1', '48.bo1.a1', '48.bu1.a1', '48.bu1.b1'], 'contains': ['192.g1.a1', '192.w1.a1'], 'core': '96.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [396, 384], 'label': '1536.10766179.96.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.k1.a1', 'normal_contained_in': ['32.k1.a1', '48.a1.a1', '48.k1.a1', '48.j1.a1'], 'normal_contains': ['192.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209242
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.l1.a1', '48.b1.a1', '48.h1.a1', '48.j1.a1', '48.bp1.a1', '48.bv1.a1'], 'contains': ['192.g1.a1', '192.h1.a1', '192.j1.a1'], 'core': '96.l1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160, 1360], 'label': '1536.10766179.96.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.l1.a1', 'normal_contained_in': ['32.l1.a1', '48.b1.a1', '48.h1.a1', '48.j1.a1'], 'normal_contains': ['192.g1.a1', '192.h1.a1', '192.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209243
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.m1.a1', '48.b1.a1', '48.i1.a1', '48.k1.a1', '48.bq1.a1', '48.bw1.a1', '48.bx1.a1', '48.by1.a1'], 'contains': ['192.g1.a1', '192.i1.a1', '192.k1.a1'], 'core': '96.m1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160, 960], 'label': '1536.10766179.96.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.m1.a1', 'normal_contained_in': ['32.m1.a1', '48.b1.a1', '48.i1.a1', '48.k1.a1'], 'normal_contains': ['192.g1.a1', '192.i1.a1', '192.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209244
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.l1.a1', '4.n1.a1'], 'contains': ['16.b1.a1', '16.e1.a1', '16.e1.b1', '16.bl1.a1', '16.bw1.a1', '24.b1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160, 384, 192, 16, 768, 96, 512], 'label': '1536.10766179.8.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': ['4.f1.a1'], 'normal_contains': ['16.b1.a1', '16.e1.a1', '16.e1.b1', '24.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209245
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.n1.a1', '48.c1.a1', '48.i1.a1', '48.j1.a1', '48.br1.a1', '48.bz1.a1'], 'contains': ['192.g1.a1', '192.l1.a1', '192.m1.a1'], 'core': '96.n1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1364, 384], 'label': '1536.10766179.96.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.n1.a1', 'normal_contained_in': ['32.n1.a1', '48.c1.a1', '48.i1.a1', '48.j1.a1'], 'normal_contains': ['192.g1.a1', '192.m1.a1', '192.l1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209246
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.o1.a1', '48.c1.a1', '48.h1.a1', '48.k1.a1', '48.bs1.a1', '48.ca1.a1', '48.cb1.a1', '48.cc1.a1'], 'contains': ['192.g1.a1', '192.n1.a1', '192.o1.a1'], 'core': '96.o1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972, 384], 'label': '1536.10766179.96.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.o1.a1', 'normal_contained_in': ['32.o1.a1', '48.c1.a1', '48.h1.a1', '48.k1.a1'], 'normal_contains': ['192.g1.a1', '192.o1.a1', '192.n1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209247
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.a1', '48.p1.a1'], 'contains': ['192.p1.a1', '192.bf1.a1', '192.bf1.c1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 16], 'label': '1536.10766179.96.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209248
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.b1', '48.p1.a1'], 'contains': ['192.p1.a1', '192.bf1.b1', '192.bf1.d1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [770, 16], 'label': '1536.10766179.96.p1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.p1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.p1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209249
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.c1', '48.p1.b1'], 'contains': ['192.p1.b1', '192.bf1.e1', '192.bf1.f1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1154, 16], 'label': '1536.10766179.96.p1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.p1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.p1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209250
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.d1', '48.p1.b1'], 'contains': ['192.p1.b1', '192.bf1.g1', '192.bf1.h1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [386, 16], 'label': '1536.10766179.96.p1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.p1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.p1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209251
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.e1', '48.p1.b1'], 'contains': ['192.p1.c1', '192.bf1.e1', '192.bf1.h1'], 'core': '768.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1154, 784], 'label': '1536.10766179.96.p1.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.p1.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.p1.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209252
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.f1', '48.p1.b1'], 'contains': ['192.p1.c1', '192.bf1.f1', '192.bf1.g1'], 'core': '768.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [386, 784], 'label': '1536.10766179.96.p1.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.p1.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.p1.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209253
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.g1', '48.p1.a1'], 'contains': ['192.p1.d1', '192.bf1.a1', '192.bf1.d1'], 'core': '768.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 784], 'label': '1536.10766179.96.p1.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.p1.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.p1.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209254
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.h1', '48.p1.a1'], 'contains': ['192.p1.d1', '192.bf1.b1', '192.bf1.c1'], 'core': '768.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [770, 784], 'label': '1536.10766179.96.p1.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.p1.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.p1.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209255
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '2.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.f1.a1', '4.i1.a1', '4.l1.a1', '4.m1.a1', '6.d1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3, 512, 16, 192, 972, 1160, 768, 384, 96], 'label': '1536.10766179.2.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.f1.a1', '4.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209256
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.m1.a1', '4.o1.a1'], 'contains': ['16.b1.a1', '16.j1.a1', '16.j1.b1', '16.ba1.a1', '16.bx1.a1', '24.c1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1444, 1152, 1352, 16, 768, 1344, 512], 'label': '1536.10766179.8.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': ['4.f1.a1'], 'normal_contains': ['16.b1.a1', '16.j1.b1', '16.j1.a1', '24.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209257
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.q1.a1', '48.l1.a1'], 'contains': ['192.a1.a1', '192.q1.a1', '192.r1.a1', '192.t1.a1', '192.u1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [963, 8, 16], 'label': '1536.10766179.96.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '96.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209258
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.a1', '48.a1.a1', '48.p1.a1', '48.p1.b1'], 'contains': ['192.a1.a1', '192.p1.a1', '192.p1.b1', '192.p1.c1', '192.p1.d1', '192.v1.a1', '192.w1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [396, 16, 768], 'label': '1536.10766179.96.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209259
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.s1.a1', '48.m1.a1'], 'contains': ['192.a1.a1', '192.s1.a1', '192.s1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [33, 8], 'label': '1536.10766179.96.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '96.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209260
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.t1.a1', '48.l1.a1', '48.q1.a1', '48.r1.a1'], 'contains': ['192.b1.a1', '192.q1.a1', '192.r1.a1', '192.x1.a1', '192.y1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [963, 16, 384], 'label': '1536.10766179.96.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '96.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209261
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.u1.a1', '48.l1.a1', '48.s1.a1', '48.t1.a1'], 'contains': ['192.c1.a1', '192.q1.a1', '192.z1.a1', '192.ba1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1347, 1160, 16], 'label': '1536.10766179.96.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '96.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209262
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.v1.a1', '48.m1.a1', '48.u1.a1', '48.v1.a1'], 'contains': ['192.b1.a1', '192.s1.a1', '192.s1.b1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [33, 384], 'label': '1536.10766179.96.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '96.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209263
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.w1.a1', '48.n1.a1', '48.q1.a1', '48.r1.a1'], 'contains': ['192.b1.a1', '192.bc1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 16], 'label': '1536.10766179.96.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '96.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209264
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.x1.a1', '48.o1.a1', '48.u1.a1', '48.v1.a1'], 'contains': ['192.b1.a1', '192.bb1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [993, 384], 'label': '1536.10766179.96.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '96.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209265
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y1.a1', '48.l1.a1', '48.s1.a1', '48.z1.a1'], 'contains': ['192.c1.a1', '192.r1.a1', '192.bd1.a1', '192.be1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [963, 1160, 16], 'label': '1536.10766179.96.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '96.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209266
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.z1.a1', '48.m1.a1', '48.ba1.a1', '48.bb1.a1'], 'contains': ['192.c1.a1', '192.s1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [417, 1160], 'label': '1536.10766179.96.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '96.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209267
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.j1.a1', '4.k1.a1'], 'contains': ['16.c1.a1', '16.q1.a1', '16.bz1.a1', '16.ca1.a1', '24.p1.a1'], 'core': '8.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3, 768, 384, 972, 512, 16, 1160], 'label': '1536.10766179.8.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': ['4.a1.a1', '4.j1.a1', '4.k1.a1'], 'normal_contains': ['16.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209268
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.z1.b1', '48.m1.a1', '48.ba1.b1', '48.bb1.a1'], 'contains': ['192.c1.a1', '192.s1.b1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [33, 1160], 'label': '1536.10766179.96.z1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '96.z1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.z1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209269
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ba1.a1', '48.l1.a1', '48.bf1.a1', '48.bg1.a1'], 'contains': ['192.d1.a1', '192.t1.a1', '192.x1.a1', '192.ba1.a1', '192.be1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [963, 1160, 1168], 'label': '1536.10766179.96.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.f1.a1', 'old_label': '96.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209270
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bb1.a1', '48.l1.a1', '48.bd1.a1', '48.be1.a1'], 'contains': ['192.e1.a1', '192.t1.a1', '192.y1.a1', '192.z1.a1', '192.bd1.a1'], 'core': '192.e1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [963, 408, 384], 'label': '1536.10766179.96.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209271
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bc1.a1', '48.o1.a1', '48.bh1.a1', '48.bi1.a1'], 'contains': ['192.d1.a1', '192.bb1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [993, 1160], 'label': '1536.10766179.96.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '96.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209272
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bd1.a1', '48.n1.a1', '48.bd1.a1', '48.be1.a1'], 'contains': ['192.e1.a1', '192.bc1.a1'], 'core': '192.e1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 408], 'label': '1536.10766179.96.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209273
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.be1.a1', '48.l1.a1'], 'contains': ['192.f1.a1', '192.u1.a1', '192.x1.a1', '192.z1.a1', '192.bd1.a1'], 'core': '192.f1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [963, 1176, 1168], 'label': '1536.10766179.96.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209274
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bf1.a1', '48.l1.a1', '48.bn1.a1', '48.bo1.a1', '48.bp1.a1', '48.bq1.a1', '48.br1.a1', '48.bs1.a1'], 'contains': ['192.g1.a1', '192.u1.a1', '192.y1.a1', '192.ba1.a1', '192.be1.a1'], 'core': '192.g1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [963, 1160, 384], 'label': '1536.10766179.96.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.f1.a1', 'old_label': '96.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209275
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg1.a1', '48.a1.a1', '48.bt1.a1', '48.bt1.b1'], 'contains': ['192.f1.a1', '192.v1.a1', '192.w1.a1'], 'core': '192.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [396, 1168], 'label': '1536.10766179.96.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209276
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bh1.a1', '48.o1.a1'], 'contains': ['192.f1.a1', '192.bb1.a1'], 'core': '192.f1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [993, 8], 'label': '1536.10766179.96.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '96.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209277
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bi1.a1', '48.n1.a1', '48.bn1.a1', '48.bo1.a1', '48.bp1.a1', '48.bq1.a1', '48.bz1.a1', '48.ca1.a1'], 'contains': ['192.g1.a1', '192.bc1.a1'], 'core': '192.g1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 1160], 'label': '1536.10766179.96.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.f1.a1', 'old_label': '96.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209278
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.d1.a1', '4.k1.a1'], 'contains': ['16.c1.a1', '16.r1.a1', '16.bh1.a1', '16.bi1.a1', '24.q1.a1'], 'core': '8.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [993, 768, 400, 972, 512, 384, 1160], 'label': '1536.10766179.8.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': ['4.c1.a1', '4.d1.a1', '4.k1.a1'], 'normal_contains': ['16.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209279
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bj1.a1', '48.p1.a1', '48.bt1.a1', '48.bu1.a1'], 'contains': ['192.w1.a1', '192.bf1.a1', '192.bf1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 768], 'label': '1536.10766179.96.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209280
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bj1.b1', '48.p1.b1', '48.bt1.b1', '48.bu1.a1'], 'contains': ['192.w1.a1', '192.bf1.e1', '192.bf1.g1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [386, 768], 'label': '1536.10766179.96.bj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.bj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209281
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bj1.c1', '48.p1.a1', '48.bt1.b1', '48.bu1.b1'], 'contains': ['192.w1.a1', '192.bf1.c1', '192.bf1.d1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [22, 768], 'label': '1536.10766179.96.bj1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.bj1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bj1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209282
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bj1.d1', '48.p1.b1', '48.bt1.a1', '48.bu1.b1'], 'contains': ['192.w1.a1', '192.bf1.f1', '192.bf1.h1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1174, 768], 'label': '1536.10766179.96.bj1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.bj1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bj1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209283
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bk1.a1', '48.q1.a1', '48.bd1.a1', '48.bp1.a1'], 'contains': ['192.h1.a1', '192.y1.a1', '192.bc1.a1'], 'core': '192.h1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [3, 1360], 'label': '1536.10766179.96.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1.a1', 'old_label': '96.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209284
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bl1.a1', '48.q1.a1', '48.be1.a1', '48.bq1.a1'], 'contains': ['192.i1.a1', '192.y1.a1', '192.bc1.a1'], 'core': '192.i1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [3, 960], 'label': '1536.10766179.96.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1.a1', 'old_label': '96.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209285
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bm1.a1', '48.r1.a1', '48.be1.a1', '48.bp1.a1'], 'contains': ['192.j1.a1', '192.y1.a1', '192.bc1.a1'], 'core': '192.j1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [3, 216], 'label': '1536.10766179.96.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1.a1', 'old_label': '96.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209286
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bn1.a1', '48.r1.a1', '48.bd1.a1', '48.bq1.a1'], 'contains': ['192.k1.a1', '192.y1.a1', '192.bc1.a1'], 'core': '192.k1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [3, 584], 'label': '1536.10766179.96.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1.a1', 'old_label': '96.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209287
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bo1.a1', '48.s1.a1', '48.bg1.a1', '48.br1.a1'], 'contains': ['192.m1.a1', '192.ba1.a1', '192.be1.a1'], 'core': '192.m1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [963, 980], 'label': '1536.10766179.96.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.f1.a1', 'old_label': '96.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209288
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bp1.a1', '48.s1.a1', '48.bf1.a1', '48.bs1.a1'], 'contains': ['192.o1.a1', '192.ba1.a1', '192.be1.a1'], 'core': '192.o1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [963, 1356], 'label': '1536.10766179.96.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.f1.a1', 'old_label': '96.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209289
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.g1.a1', '4.k1.a1'], 'contains': ['16.c1.a1', '16.h1.a1', '16.h1.b1', '16.bj1.a1', '16.cb1.a1', '24.d1.a1'], 'core': '8.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [102, 392, 204, 16, 768, 384, 512], 'label': '1536.10766179.8.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': ['4.b1.a1', '4.g1.a1', '4.k1.a1'], 'normal_contains': ['16.c1.a1', '16.h1.b1', '16.h1.a1', '24.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209290
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bq1.a1', '48.t1.a1', '48.bf1.a1', '48.br1.a1'], 'contains': ['192.l1.a1', '192.ba1.a1'], 'core': '192.l1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1347, 1364], 'label': '1536.10766179.96.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '96.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209291
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.br1.a1', '48.t1.a1', '48.bg1.a1', '48.bs1.a1'], 'contains': ['192.n1.a1', '192.ba1.a1'], 'core': '192.n1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1347, 972], 'label': '1536.10766179.96.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '96.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209292
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.x1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bs1.a1', '48.x1.a1', '48.bk1.a1', '48.bv1.a1'], 'contains': ['192.h1.a1'], 'core': '192.h1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [35], 'label': '1536.10766179.96.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.o1.a1', 'old_label': '96.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209293
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bt1.a1', '48.d1.a1', '48.bl1.a1', '48.bw1.a1'], 'contains': ['192.i1.a1'], 'core': '192.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [96], 'label': '1536.10766179.96.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209294
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bt1.b1', '48.d1.b1', '48.bl1.a1', '48.bw1.a1'], 'contains': ['192.i1.a1'], 'core': '192.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [488], 'label': '1536.10766179.96.bt1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.bt1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bt1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209295
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.w1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bu1.a1', '48.w1.a1', '48.bm1.a1', '48.by1.a1'], 'contains': ['192.i1.a1'], 'core': '192.i1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1], 'label': '1536.10766179.96.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.n1.a1', 'old_label': '96.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209296
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bv1.a1', '48.g1.a1', '48.y1.a1', '48.bx1.a1'], 'contains': ['192.k1.a1'], 'core': '192.k1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1444], 'label': '1536.10766179.96.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209297
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bv1.b1', '48.g1.b1', '48.y1.a1', '48.bx1.a1'], 'contains': ['192.k1.a1'], 'core': '192.k1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1252], 'label': '1536.10766179.96.bv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.bv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209298
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bw1.a1', '48.z1.a1', '48.bf1.a1', '48.br1.a1'], 'contains': ['192.l1.a1', '192.be1.a1'], 'core': '192.l1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [963, 1364], 'label': '1536.10766179.96.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '96.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209299
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bx1.a1', '48.z1.a1', '48.bg1.a1', '48.bs1.a1'], 'contains': ['192.n1.a1', '192.be1.a1'], 'core': '192.n1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [963, 972], 'label': '1536.10766179.96.bx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '96.bx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209300
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.g1.a1', '4.j1.a1'], 'contains': ['16.c1.a1', '16.i1.a1', '16.i1.b1', '16.bc1.a1', '16.cc1.a1', '24.e1.a1'], 'core': '8.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1446, 1160, 1356, 16, 768, 384, 512], 'label': '1536.10766179.8.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': ['4.c1.a1', '4.g1.a1', '4.j1.a1'], 'normal_contains': ['16.c1.a1', '16.i1.b1', '16.i1.a1', '24.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209304
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '96.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bz1.b1', '48.f1.b1', '48.bc1.a1', '48.cc1.a1'], 'contains': ['192.o1.a1'], 'core': '192.o1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1446], 'label': '1536.10766179.96.bz1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '96.bz1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bz1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209305
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.b1.a1', '64.c1.a1', '64.q1.a1', '64.r1.a1', '64.s1.a1', '64.s1.b1'], 'contains': ['256.a1.a1', '256.a1.b1', '256.b1.a1', '384.a1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [16, 768, 512], 'label': '1536.10766179.128.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.a1.a1', 'normal_contained_in': ['64.a1.a1', '64.b1.a1', '64.c1.a1'], 'normal_contains': ['256.b1.a1', '256.a1.a1', '256.a1.b1', '384.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209306
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.d1.a1', '64.e1.a1', '64.t1.a1'], 'contains': ['256.b1.a1', '256.c1.a1', '384.b1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24, 768, 512], 'label': '1536.10766179.128.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.b1.a1', 'normal_contained_in': ['64.a1.a1', '64.d1.a1', '64.e1.a1'], 'normal_contains': ['256.b1.a1', '384.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209307
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.f1.a1', '64.g1.a1', '64.u1.a1', '64.v1.a1', '64.w1.a1'], 'contains': ['256.b1.a1', '256.d1.a1', '384.c1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 768, 512], 'label': '1536.10766179.128.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.c1.a1', 'normal_contained_in': ['64.a1.a1', '64.f1.a1', '64.g1.a1'], 'normal_contains': ['256.b1.a1', '384.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209308
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.b1.a1', '64.d1.a1', '64.f1.a1', '64.x1.a1', '64.bb1.a1'], 'contains': ['256.b1.a1', '384.d1.a1'], 'core': '128.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1168, 512, 768], 'label': '1536.10766179.128.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.d1.a1', 'normal_contained_in': ['64.b1.a1', '64.f1.a1', '64.d1.a1'], 'normal_contains': ['256.b1.a1', '384.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209309
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.b1.a1', '64.e1.a1', '64.g1.a1', '64.h1.a1', '64.i1.a1', '64.j1.a1', '64.k1.a1', '64.y1.a1', '64.bc1.a1'], 'contains': ['256.b1.a1', '384.e1.a1'], 'core': '128.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [384, 512, 768], 'label': '1536.10766179.128.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.e1.a1', 'normal_contained_in': ['64.b1.a1', '64.g1.a1', '64.e1.a1', '64.i1.a1', '64.h1.a1', '64.j1.a1', '64.k1.a1'], 'normal_contains': ['256.b1.a1', '384.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209310
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.c1.a1', '64.e1.a1', '64.f1.a1', '64.z1.a1', '64.bd1.a1'], 'contains': ['256.b1.a1', '384.f1.a1'], 'core': '128.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [408, 512, 768], 'label': '1536.10766179.128.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.f1.a1', 'normal_contained_in': ['64.c1.a1', '64.f1.a1', '64.e1.a1'], 'normal_contains': ['256.b1.a1', '384.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209311
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': ['192.bf1.a1', '192.bf1.b1', '192.bf1.c1', '192.bf1.d1', '192.bf1.e1', '192.bf1.g1', '192.bf1.f1', '192.bf1.h1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.d1.a1', '16.g1.a1', '16.h1.b1', '24.s1.a1'], 'core': '8.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [417, 768, 392, 1254, 512, 1364, 784], 'label': '1536.10766179.8.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.d1.a1', '16.g1.a1', '16.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209312
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.c1.a1', '64.d1.a1', '64.g1.a1', '64.l1.a1', '64.m1.a1', '64.n1.a1', '64.o1.a1', '64.ba1.a1', '64.be1.a1'], 'contains': ['256.b1.a1', '384.g1.a1'], 'core': '128.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160, 512, 768], 'label': '1536.10766179.128.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.g1.a1', 'normal_contained_in': ['64.c1.a1', '64.g1.a1', '64.d1.a1', '64.o1.a1', '64.m1.a1', '64.n1.a1', '64.l1.a1'], 'normal_contains': ['256.b1.a1', '384.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209313
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.p1.a1', '64.p1.b1'], 'contains': ['256.a1.a1', '256.c1.a1', '256.d1.a1', '384.h1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 512], 'label': '1536.10766179.128.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '128.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209314
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.p1.c1', '64.p1.d1'], 'contains': ['256.a1.b1', '256.c1.a1', '256.d1.a1', '384.h1.b1'], 'core': '256.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 784, 512], 'label': '1536.10766179.128.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '128.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209315
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.q1.a1'], 'contains': ['256.a1.a1', '256.e1.a1', '384.i1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1347, 16, 512], 'label': '1536.10766179.128.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.t1.a1', 'old_label': '128.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209316
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.q1.a1'], 'contains': ['256.a1.b1', '256.e1.a1', '384.i1.b1'], 'core': '256.a1.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1347, 784, 512], 'label': '1536.10766179.128.i1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.t1.b1', 'old_label': '128.i1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.i1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209317
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.s1.b1'], 'contains': ['256.a1.a1', '384.j1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 16, 512], 'label': '1536.10766179.128.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.u1.a1', 'old_label': '128.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209318
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.s1.a1'], 'contains': ['256.a1.b1', '384.j1.b1'], 'core': '256.a1.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [417, 784, 512], 'label': '1536.10766179.128.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.u1.b1', 'old_label': '128.j1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.j1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209319
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.q1.a1', '64.t1.a1', '64.u1.a1', '64.x1.a1', '64.y1.a1', '64.z1.a1', '64.ba1.a1'], 'contains': ['256.b1.a1', '256.e1.a1', '384.k1.a1'], 'core': '256.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1347, 768, 512], 'label': '1536.10766179.128.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.n1.a1', 'old_label': '128.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209320
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.r1.a1', '64.t1.a1', '64.u1.a1', '64.x1.a1', '64.y1.a1', '64.bd1.a1', '64.be1.a1'], 'contains': ['256.b1.a1', '384.l1.a1'], 'core': '256.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [963, 768, 512], 'label': '1536.10766179.128.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.n1.a1', 'old_label': '128.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209321
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.p1.a1', '64.p1.c1', '64.v1.a1'], 'contains': ['256.d1.a1', '384.m1.a1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1172, 512, 776], 'label': '1536.10766179.128.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '128.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209322
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': ['192.bf1.e1', '192.bf1.g1', '192.bf1.f1', '192.bf1.h1', '192.bf1.b1', '192.bf1.a1', '192.bf1.d1', '192.bf1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.d1.a1', '16.g1.b1', '16.h1.a1', '24.s1.b1'], 'core': '8.j1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 768, 392, 102, 512, 1364, 16], 'label': '1536.10766179.8.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.b1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.d1.a1', '16.g1.b1', '16.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.j1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209323
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.p1.b1', '64.p1.d1', '64.v1.a1'], 'contains': ['256.d1.a1', '384.m1.b1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [404, 512, 776], 'label': '1536.10766179.128.m1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '128.m1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.m1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209324
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.p1.a1', '64.p1.d1', '64.w1.a1', '64.bf1.a1', '64.bf1.b1', '64.bf1.c1', '64.bf1.d1'], 'contains': ['256.d1.a1', '384.n1.a1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [396, 512, 776], 'label': '1536.10766179.128.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '128.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209325
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '128.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.p1.b1', '64.p1.c1', '64.w1.a1', '64.bf1.e1', '64.bf1.f1', '64.bf1.g1', '64.bf1.h1'], 'contains': ['256.d1.a1', '384.n1.b1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1164, 512, 776], 'label': '1536.10766179.128.n1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '128.n1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.n1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209326
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.a1.a1', '96.q1.a1', '96.r1.a1', '96.s1.a1'], 'contains': ['384.a1.a1', '384.b1.a1', '384.c1.a1', '384.h1.a1', '384.h1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 16, 768], 'label': '1536.10766179.192.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.a1.a1', 'normal_contained_in': ['64.a1.a1', '96.a1.a1'], 'normal_contains': ['384.a1.a1', '384.c1.a1', '384.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209327
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.b1.a1', '96.a1.a1', '96.b1.a1', '96.c1.a1', '96.t1.a1', '96.v1.a1', '96.w1.a1', '96.x1.a1'], 'contains': ['384.a1.a1', '384.d1.a1', '384.e1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [16, 384], 'label': '1536.10766179.192.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1.a1', 'normal_contained_in': ['64.b1.a1', '96.a1.a1', '96.b1.a1', '96.c1.a1'], 'normal_contains': ['384.a1.a1', '384.d1.a1', '384.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209328
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.c1.a1', '96.a1.a1', '96.d1.a1', '96.e1.a1', '96.u1.a1', '96.y1.a1', '96.z1.a1', '96.z1.b1'], 'contains': ['384.a1.a1', '384.f1.a1', '384.g1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160, 16], 'label': '1536.10766179.192.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.c1.a1', 'normal_contained_in': ['64.c1.a1', '96.a1.a1', '96.e1.a1', '96.d1.a1'], 'normal_contains': ['384.a1.a1', '384.g1.a1', '384.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209329
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.d1.a1', '96.a1.a1', '96.f1.a1', '96.g1.a1', '96.ba1.a1', '96.bc1.a1'], 'contains': ['384.b1.a1', '384.d1.a1', '384.g1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160, 1168], 'label': '1536.10766179.192.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.d1.a1', 'normal_contained_in': ['64.d1.a1', '96.a1.a1', '96.f1.a1', '96.g1.a1'], 'normal_contains': ['384.b1.a1', '384.d1.a1', '384.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209330
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.e1.a1', '96.a1.a1', '96.h1.a1', '96.i1.a1', '96.bb1.a1', '96.bd1.a1'], 'contains': ['384.b1.a1', '384.e1.a1', '384.f1.a1'], 'core': '192.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [408, 384], 'label': '1536.10766179.192.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.e1.a1', 'normal_contained_in': ['64.e1.a1', '96.a1.a1', '96.i1.a1', '96.h1.a1'], 'normal_contains': ['384.b1.a1', '384.e1.a1', '384.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209331
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.f1.a1', '96.a1.a1', '96.be1.a1', '96.bg1.a1', '96.bh1.a1'], 'contains': ['384.c1.a1', '384.d1.a1', '384.f1.a1'], 'core': '192.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 1168], 'label': '1536.10766179.192.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.f1.a1', 'normal_contained_in': ['64.f1.a1', '96.a1.a1'], 'normal_contains': ['384.c1.a1', '384.d1.a1', '384.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209332
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.g1.a1', '96.a1.a1', '96.j1.a1', '96.k1.a1', '96.l1.a1', '96.m1.a1', '96.n1.a1', '96.o1.a1', '96.bf1.a1', '96.bi1.a1'], 'contains': ['384.c1.a1', '384.e1.a1', '384.g1.a1'], 'core': '192.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160, 384], 'label': '1536.10766179.192.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.g1.a1', 'normal_contained_in': ['64.g1.a1', '96.a1.a1', '96.j1.a1', '96.k1.a1', '96.m1.a1', '96.l1.a1', '96.o1.a1', '96.n1.a1'], 'normal_contains': ['384.c1.a1', '384.e1.a1', '384.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209333
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': ['192.bf1.e1', '192.bf1.g1', '192.bf1.f1', '192.bf1.h1', '192.bf1.b1', '192.bf1.a1', '192.bf1.d1', '192.bf1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.f1.a1', '16.g1.a1', '16.h1.a1', '24.u1.a1'], 'core': '8.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [417, 768, 392, 102, 512, 1364, 784], 'label': '1536.10766179.8.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.f1.a1', '16.g1.a1', '16.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209334
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.h1.a1', '96.b1.a1', '96.h1.a1', '96.l1.a1', '96.bk1.a1', '96.bs1.a1'], 'contains': ['384.e1.a1'], 'core': '192.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1360], 'label': '1536.10766179.192.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.h1.a1', 'normal_contained_in': ['64.h1.a1', '96.b1.a1', '96.l1.a1', '96.h1.a1'], 'normal_contains': ['384.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209335
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.i1.a1', '96.b1.a1', '96.i1.a1', '96.m1.a1', '96.bl1.a1', '96.bt1.a1', '96.bt1.b1', '96.bu1.a1'], 'contains': ['384.e1.a1'], 'core': '192.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [960], 'label': '1536.10766179.192.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.i1.a1', 'normal_contained_in': ['64.i1.a1', '96.b1.a1', '96.m1.a1', '96.i1.a1'], 'normal_contains': ['384.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209336
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.j1.a1', '96.c1.a1', '96.i1.a1', '96.l1.a1', '96.bm1.a1'], 'contains': ['384.e1.a1'], 'core': '192.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [216], 'label': '1536.10766179.192.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.j1.a1', 'normal_contained_in': ['64.j1.a1', '96.c1.a1', '96.l1.a1', '96.i1.a1'], 'normal_contains': ['384.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209337
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.k1.a1', '96.c1.a1', '96.h1.a1', '96.m1.a1', '96.bn1.a1', '96.bv1.a1', '96.bv1.b1'], 'contains': ['384.e1.a1'], 'core': '192.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [584], 'label': '1536.10766179.192.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.k1.a1', 'normal_contained_in': ['64.k1.a1', '96.c1.a1', '96.m1.a1', '96.h1.a1'], 'normal_contains': ['384.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209338
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.l1.a1', '96.d1.a1', '96.f1.a1', '96.n1.a1', '96.bq1.a1', '96.bw1.a1'], 'contains': ['384.g1.a1'], 'core': '192.l1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1364], 'label': '1536.10766179.192.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.l1.a1', 'normal_contained_in': ['64.l1.a1', '96.d1.a1', '96.n1.a1', '96.f1.a1'], 'normal_contains': ['384.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209339
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.m1.a1', '96.e1.a1', '96.g1.a1', '96.n1.a1', '96.bo1.a1'], 'contains': ['384.g1.a1'], 'core': '192.m1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [980], 'label': '1536.10766179.192.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.m1.a1', 'normal_contained_in': ['64.m1.a1', '96.e1.a1', '96.n1.a1', '96.g1.a1'], 'normal_contains': ['384.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209340
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.n1.a1', '96.d1.a1', '96.g1.a1', '96.o1.a1', '96.br1.a1', '96.bx1.a1', '96.by1.a1', '96.by1.b1'], 'contains': ['384.g1.a1'], 'core': '192.n1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972], 'label': '1536.10766179.192.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.n1.a1', 'normal_contained_in': ['64.n1.a1', '96.d1.a1', '96.o1.a1', '96.g1.a1'], 'normal_contains': ['384.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209341
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.o1.a1', '96.e1.a1', '96.f1.a1', '96.o1.a1', '96.bp1.a1', '96.bz1.a1', '96.bz1.b1'], 'contains': ['384.g1.a1'], 'core': '192.o1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1356], 'label': '1536.10766179.192.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.o1.a1', 'normal_contained_in': ['64.o1.a1', '96.e1.a1', '96.o1.a1', '96.f1.a1'], 'normal_contains': ['384.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209342
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.p1.a1', '96.p1.a1', '96.p1.b1', '96.r1.a1'], 'contains': ['384.h1.a1', '384.m1.a1', '384.n1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [396, 16], 'label': '1536.10766179.192.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '192.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209343
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.p1.b1', '96.p1.c1', '96.p1.d1', '96.r1.a1'], 'contains': ['384.h1.a1', '384.m1.b1', '384.n1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1164, 16], 'label': '1536.10766179.192.p1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '192.p1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.p1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209344
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': ['192.bf1.a1', '192.bf1.b1', '192.bf1.c1', '192.bf1.d1', '192.bf1.e1', '192.bf1.g1', '192.bf1.f1', '192.bf1.h1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.f1.a1', '16.g1.b1', '16.h1.b1', '24.u1.b1'], 'core': '8.k1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 768, 392, 1254, 512, 1364, 16], 'label': '1536.10766179.8.k1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.b1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.f1.a1', '16.g1.b1', '16.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.k1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209345
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.p1.c1', '96.p1.e1', '96.p1.f1', '96.r1.a1'], 'contains': ['384.h1.b1', '384.m1.a1', '384.n1.b1'], 'core': '768.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1164, 784], 'label': '1536.10766179.192.p1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '192.p1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.p1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209346
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.p1.d1', '96.p1.g1', '96.p1.h1', '96.r1.a1'], 'contains': ['384.h1.b1', '384.m1.b1', '384.n1.a1'], 'core': '768.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [396, 784], 'label': '1536.10766179.192.p1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '192.p1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.p1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209347
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.q1.a1', '96.q1.a1', '96.t1.a1', '96.u1.a1'], 'contains': ['384.a1.a1', '384.i1.a1', '384.i1.b1', '384.k1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1347, 16, 768], 'label': '1536.10766179.192.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '192.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209348
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.r1.a1', '96.q1.a1', '96.t1.a1', '96.y1.a1'], 'contains': ['384.a1.a1', '384.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [963, 16], 'label': '1536.10766179.192.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '192.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209349
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.s1.a1', '96.s1.a1', '96.v1.a1', '96.z1.a1'], 'contains': ['384.a1.a1', '384.j1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [417, 768], 'label': '1536.10766179.192.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '192.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209350
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.s1.b1', '96.s1.a1', '96.v1.a1', '96.z1.b1'], 'contains': ['384.a1.a1', '384.j1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [33, 768], 'label': '1536.10766179.192.s1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '192.s1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.s1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209351
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.t1.a1', '96.q1.a1', '96.ba1.a1', '96.bb1.a1'], 'contains': ['384.b1.a1', '384.k1.a1', '384.l1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [963, 24], 'label': '1536.10766179.192.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1.a1', 'old_label': '192.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209352
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.u1.a1', '96.q1.a1', '96.be1.a1', '96.bf1.a1'], 'contains': ['384.c1.a1', '384.k1.a1', '384.l1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [963, 8], 'label': '1536.10766179.192.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1.a1', 'old_label': '192.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209353
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.v1.a1', '96.j1.a1', '96.r1.a1', '96.bg1.a1'], 'contains': ['384.c1.a1', '384.m1.a1', '384.m1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1172, 768], 'label': '1536.10766179.192.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '192.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209354
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.w1.a1', '96.k1.a1', '96.r1.a1', '96.bg1.a1', '96.bj1.a1', '96.bj1.b1', '96.bj1.c1', '96.bj1.d1'], 'contains': ['384.c1.a1', '384.n1.a1', '384.n1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [396, 768], 'label': '1536.10766179.192.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '192.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209355
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '4.p1.a1', '4.q1.a1'], 'contains': ['16.n1.a1', '16.bu1.a1', '24.f1.a1'], 'core': '8.l1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 8, 384, 960, 768, 512, 4], 'label': '1536.10766179.8.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.a1', 'normal_contained_in': ['4.e1.a1'], 'normal_contains': ['16.n1.a1', '24.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209356
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.x1.a1', '96.t1.a1', '96.ba1.a1', '96.be1.a1'], 'contains': ['384.d1.a1', '384.k1.a1', '384.l1.a1'], 'core': '384.d1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [963, 1168], 'label': '1536.10766179.192.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1.a1', 'old_label': '192.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209357
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.y1.a1', '96.t1.a1', '96.bb1.a1', '96.bf1.a1', '96.bk1.a1', '96.bl1.a1', '96.bm1.a1', '96.bn1.a1'], 'contains': ['384.e1.a1', '384.k1.a1', '384.l1.a1'], 'core': '384.e1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [963, 384], 'label': '1536.10766179.192.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1.a1', 'old_label': '192.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209358
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.z1.a1', '96.u1.a1', '96.bb1.a1', '96.be1.a1'], 'contains': ['384.f1.a1', '384.k1.a1'], 'core': '384.f1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1347, 408], 'label': '1536.10766179.192.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '192.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209359
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.ba1.a1', '96.u1.a1', '96.ba1.a1', '96.bf1.a1', '96.bo1.a1', '96.bp1.a1', '96.bq1.a1', '96.br1.a1'], 'contains': ['384.g1.a1', '384.k1.a1'], 'core': '384.g1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1347, 1160], 'label': '1536.10766179.192.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.f1.a1', 'old_label': '192.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209360
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bb1.a1', '96.x1.a1', '96.bc1.a1', '96.bh1.a1'], 'contains': ['384.d1.a1'], 'core': '384.d1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [993], 'label': '1536.10766179.192.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.l1.a1', 'old_label': '192.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209444
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.b1.a1'], 'contains': ['24.d1.a1', '24.i1.a1', '24.m1.a1', '24.s1.a1', '24.s1.b1', '24.u1.a1', '24.u1.b1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [33, 102, 384], 'label': '1536.10766179.12.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209361
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bc1.a1', '96.w1.a1', '96.bd1.a1', '96.bi1.a1', '96.bk1.a1', '96.bl1.a1', '96.bm1.a1', '96.bn1.a1'], 'contains': ['384.e1.a1'], 'core': '384.e1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [3], 'label': '1536.10766179.192.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1.a1', 'old_label': '192.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209362
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bd1.a1', '96.y1.a1', '96.bb1.a1', '96.be1.a1'], 'contains': ['384.f1.a1', '384.l1.a1'], 'core': '384.f1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [963, 408], 'label': '1536.10766179.192.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '192.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209363
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.be1.a1', '96.y1.a1', '96.ba1.a1', '96.bf1.a1', '96.bo1.a1', '96.bp1.a1', '96.bw1.a1', '96.bx1.a1'], 'contains': ['384.g1.a1', '384.l1.a1'], 'core': '384.g1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [963, 1160], 'label': '1536.10766179.192.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.f1.a1', 'old_label': '192.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209364
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bf1.a1', '96.p1.a1', '96.p1.g1', '96.bj1.a1'], 'contains': ['384.n1.a1'], 'core': '1536.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2], 'label': '1536.10766179.192.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '192.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209365
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bf1.b1', '96.p1.b1', '96.p1.h1', '96.bj1.a1'], 'contains': ['384.n1.a1'], 'core': '1536.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [770], 'label': '1536.10766179.192.bf1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '192.bf1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bf1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209366
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': ['768.e1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.a1', '4.e1.a1', '4.i1.a1', '6.e1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 512, 960, 1160, 2, 16, 768, 384, 972], 'label': '1536.10766179.2.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.d1.a1', '4.e1.a1', '4.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209367
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '4.p1.b1', '4.q1.b1'], 'contains': ['16.n1.a1', '16.bu1.b1', '24.f1.b1'], 'core': '8.l1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [22, 8, 384, 960, 768, 512, 12], 'label': '1536.10766179.8.l1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.b1', 'normal_contained_in': ['4.e1.a1'], 'normal_contains': ['16.n1.a1', '24.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.l1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209368
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bf1.c1', '96.p1.a1', '96.p1.h1', '96.bj1.c1'], 'contains': ['384.n1.a1'], 'core': '1536.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [22], 'label': '1536.10766179.192.bf1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '192.bf1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bf1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209369
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bf1.d1', '96.p1.b1', '96.p1.g1', '96.bj1.c1'], 'contains': ['384.n1.a1'], 'core': '1536.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [790], 'label': '1536.10766179.192.bf1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '192.bf1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bf1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209370
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bf1.e1', '96.p1.c1', '96.p1.e1', '96.bj1.b1'], 'contains': ['384.n1.b1'], 'core': '1536.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1154], 'label': '1536.10766179.192.bf1.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '192.bf1.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bf1.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209371
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bf1.f1', '96.p1.c1', '96.p1.f1', '96.bj1.d1'], 'contains': ['384.n1.b1'], 'core': '1536.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [406], 'label': '1536.10766179.192.bf1.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '192.bf1.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bf1.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209372
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bf1.g1', '96.p1.d1', '96.p1.f1', '96.bj1.b1'], 'contains': ['384.n1.b1'], 'core': '1536.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [386], 'label': '1536.10766179.192.bf1.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '192.bf1.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bf1.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209373
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '192.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bf1.h1', '96.p1.d1', '96.p1.e1', '96.bj1.d1'], 'contains': ['384.n1.b1'], 'core': '1536.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1174], 'label': '1536.10766179.192.bf1.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '192.bf1.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bf1.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209374
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '256.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.a1.a1', '128.h1.a1', '128.i1.a1', '128.j1.a1'], 'contains': ['512.a1.a1', '768.a1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [16, 512], 'label': '1536.10766179.256.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.a1.a1', 'normal_contained_in': ['128.a1.a1'], 'normal_contains': ['512.a1.a1', '768.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '256.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209375
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '256.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.a1.a1', '128.h1.b1', '128.i1.b1', '128.j1.b1'], 'contains': ['512.a1.a1', '768.a1.b1'], 'core': '256.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [784, 512], 'label': '1536.10766179.256.a1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.a1.b1', 'normal_contained_in': ['128.a1.a1'], 'normal_contains': ['512.a1.a1', '768.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '256.a1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.a1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209376
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '256.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.a1.a1', '128.b1.a1', '128.c1.a1', '128.d1.a1', '128.e1.a1', '128.f1.a1', '128.g1.a1', '128.k1.a1', '128.l1.a1'], 'contains': ['512.a1.a1', '768.b1.a1'], 'core': '256.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [768, 512], 'label': '1536.10766179.256.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.b1.a1', 'normal_contained_in': ['128.a1.a1', '128.c1.a1', '128.b1.a1', '128.d1.a1', '128.e1.a1', '128.g1.a1', '128.f1.a1'], 'normal_contains': ['512.a1.a1', '768.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '256.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209377
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '256.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.b1.a1', '128.h1.a1', '128.h1.b1'], 'contains': ['512.a1.a1', '768.c1.a1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24, 512], 'label': '1536.10766179.256.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '256.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209378
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '16.o1.a1', '16.q1.a1', '16.bn1.a1', '16.bo1.a1', '24.g1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 768, 384, 396, 512, 16, 1160], 'label': '1536.10766179.8.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '8.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209379
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '256.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.c1.a1', '128.h1.a1', '128.h1.b1', '128.m1.a1', '128.m1.b1', '128.n1.a1', '128.n1.b1'], 'contains': ['512.a1.a1', '768.d1.a1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 512], 'label': '1536.10766179.256.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '256.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209380
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '256.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.i1.a1', '128.i1.b1', '128.k1.a1'], 'contains': ['512.a1.a1', '768.e1.a1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1347, 512], 'label': '1536.10766179.256.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.t1.a1', 'old_label': '256.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209381
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.a1.a1', '192.a1.a1', '192.b1.a1', '192.c1.a1', '192.q1.a1', '192.r1.a1', '192.s1.a1', '192.s1.b1'], 'contains': ['768.a1.a1', '768.a1.b1', '768.b1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [16, 768], 'label': '1536.10766179.384.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.a1.a1', 'normal_contained_in': ['128.a1.a1', '192.a1.a1', '192.b1.a1', '192.c1.a1'], 'normal_contains': ['768.b1.a1', '768.a1.a1', '768.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '384.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209382
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.b1.a1', '192.a1.a1', '192.d1.a1', '192.e1.a1', '192.t1.a1'], 'contains': ['768.b1.a1', '768.c1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [24, 768], 'label': '1536.10766179.384.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.b1.a1', 'normal_contained_in': ['128.b1.a1', '192.a1.a1', '192.d1.a1', '192.e1.a1'], 'normal_contains': ['768.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '384.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209383
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.c1.a1', '192.a1.a1', '192.f1.a1', '192.g1.a1', '192.u1.a1', '192.v1.a1', '192.w1.a1'], 'contains': ['768.b1.a1', '768.d1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 768], 'label': '1536.10766179.384.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.c1.a1', 'normal_contained_in': ['128.c1.a1', '192.a1.a1', '192.f1.a1', '192.g1.a1'], 'normal_contains': ['768.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '384.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209384
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.d1.a1', '192.b1.a1', '192.d1.a1', '192.f1.a1', '192.x1.a1', '192.bb1.a1'], 'contains': ['768.b1.a1'], 'core': '384.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1168], 'label': '1536.10766179.384.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.d1.a1', 'normal_contained_in': ['128.d1.a1', '192.b1.a1', '192.f1.a1', '192.d1.a1'], 'normal_contains': ['768.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '384.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209385
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.e1.a1', '192.b1.a1', '192.e1.a1', '192.g1.a1', '192.h1.a1', '192.i1.a1', '192.j1.a1', '192.k1.a1', '192.y1.a1', '192.bc1.a1'], 'contains': ['768.b1.a1'], 'core': '384.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [384], 'label': '1536.10766179.384.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.e1.a1', 'normal_contained_in': ['128.e1.a1', '192.b1.a1', '192.g1.a1', '192.e1.a1', '192.i1.a1', '192.h1.a1', '192.j1.a1', '192.k1.a1'], 'normal_contains': ['768.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '384.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209386
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.f1.a1', '192.c1.a1', '192.e1.a1', '192.f1.a1', '192.z1.a1', '192.bd1.a1'], 'contains': ['768.b1.a1'], 'core': '384.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [408], 'label': '1536.10766179.384.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.f1.a1', 'normal_contained_in': ['128.f1.a1', '192.c1.a1', '192.f1.a1', '192.e1.a1'], 'normal_contains': ['768.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '384.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209387
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.g1.a1', '192.c1.a1', '192.d1.a1', '192.g1.a1', '192.l1.a1', '192.m1.a1', '192.n1.a1', '192.o1.a1', '192.ba1.a1', '192.be1.a1'], 'contains': ['768.b1.a1'], 'core': '384.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160], 'label': '1536.10766179.384.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.g1.a1', 'normal_contained_in': ['128.g1.a1', '192.c1.a1', '192.g1.a1', '192.d1.a1', '192.o1.a1', '192.m1.a1', '192.n1.a1', '192.l1.a1'], 'normal_contains': ['768.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '384.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209388
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.h1.a1', '192.a1.a1', '192.p1.a1', '192.p1.b1'], 'contains': ['768.a1.a1', '768.c1.a1', '768.d1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16], 'label': '1536.10766179.384.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '384.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209389
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.l1.a1', '4.m1.a1'], 'contains': ['16.b1.a1', '16.o1.a1', '16.q1.a1', '16.t1.a1', '16.u1.a1', '16.bd1.a1', '16.be1.a1', '16.bp1.a1', '16.bq1.a1', '24.h1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 768, 384, 1160, 512, 16, 960], 'label': '1536.10766179.8.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '8.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209390
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.h1.b1', '192.a1.a1', '192.p1.c1', '192.p1.d1'], 'contains': ['768.a1.b1', '768.c1.a1', '768.d1.a1'], 'core': '768.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 784], 'label': '1536.10766179.384.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '384.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209391
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.i1.a1', '192.q1.a1'], 'contains': ['768.a1.a1', '768.e1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1347, 16], 'label': '1536.10766179.384.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.r1.a1', 'old_label': '384.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209392
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.i1.b1', '192.q1.a1'], 'contains': ['768.a1.b1', '768.e1.a1'], 'core': '768.a1.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1347, 784], 'label': '1536.10766179.384.i1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.r1.b1', 'old_label': '384.i1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.i1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209393
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.j1.a1', '192.s1.b1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [33], 'label': '1536.10766179.384.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '384.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209394
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.j1.b1', '192.s1.a1'], 'contains': ['768.a1.b1'], 'core': '768.a1.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [417], 'label': '1536.10766179.384.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.b1', 'old_label': '384.j1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.j1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209395
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.k1.a1', '192.q1.a1', '192.t1.a1', '192.u1.a1', '192.x1.a1', '192.y1.a1', '192.z1.a1', '192.ba1.a1'], 'contains': ['768.b1.a1', '768.e1.a1'], 'core': '768.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1347, 768], 'label': '1536.10766179.384.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1.a1', 'old_label': '384.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209396
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.l1.a1', '192.r1.a1', '192.t1.a1', '192.u1.a1', '192.x1.a1', '192.y1.a1', '192.bd1.a1', '192.be1.a1'], 'contains': ['768.b1.a1'], 'core': '768.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [963], 'label': '1536.10766179.384.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.h1.a1', 'old_label': '384.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209397
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.m1.a1', '192.p1.a1', '192.p1.c1', '192.v1.a1'], 'contains': ['768.d1.a1'], 'core': '1536.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1172], 'label': '1536.10766179.384.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '384.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209398
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.m1.b1', '192.p1.b1', '192.p1.d1', '192.v1.a1'], 'contains': ['768.d1.a1'], 'core': '1536.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [404], 'label': '1536.10766179.384.m1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '384.m1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.m1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209399
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.n1.a1', '192.p1.a1', '192.p1.d1', '192.w1.a1', '192.bf1.a1', '192.bf1.b1', '192.bf1.c1', '192.bf1.d1'], 'contains': ['768.d1.a1'], 'core': '1536.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [396], 'label': '1536.10766179.384.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '384.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209400
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1'], 'contains': ['16.a1.a1', '16.p1.a1', '16.r1.a1', '24.j1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 768, 1152, 396, 512, 1160, 16], 'label': '1536.10766179.8.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '8.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209401
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '384.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.n1.b1', '192.p1.b1', '192.p1.c1', '192.w1.a1', '192.bf1.e1', '192.bf1.f1', '192.bf1.g1', '192.bf1.h1'], 'contains': ['768.d1.a1'], 'core': '1536.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1164], 'label': '1536.10766179.384.n1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '384.n1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.n1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209402
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '512.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['256.a1.a1', '256.a1.b1', '256.b1.a1', '256.c1.a1', '256.d1.a1', '256.e1.a1'], 'contains': ['1536.a1.a1'], 'core': '512.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [512], 'label': '1536.10766179.512.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '512.a1.a1', 'normal_contained_in': ['256.b1.a1', '256.a1.a1', '256.a1.b1'], 'normal_contains': ['1536.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '512.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209403
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '768.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['256.a1.a1', '384.a1.a1', '384.h1.a1', '384.i1.a1', '384.j1.a1'], 'contains': ['1536.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [16], 'label': '1536.10766179.768.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.a1.a1', 'normal_contained_in': ['256.a1.a1', '384.a1.a1'], 'normal_contains': ['1536.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '768.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209404
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '768.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['256.a1.b1', '384.a1.a1', '384.h1.b1', '384.i1.b1', '384.j1.b1'], 'contains': ['1536.a1.a1'], 'core': '768.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [784], 'label': '1536.10766179.768.a1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.a1.b1', 'normal_contained_in': ['256.a1.b1', '384.a1.a1'], 'normal_contains': ['1536.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '768.a1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.a1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209405
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '768.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['256.b1.a1', '384.a1.a1', '384.b1.a1', '384.c1.a1', '384.d1.a1', '384.e1.a1', '384.f1.a1', '384.g1.a1', '384.k1.a1', '384.l1.a1'], 'contains': ['1536.a1.a1'], 'core': '768.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [768], 'label': '1536.10766179.768.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.b1.a1', 'normal_contained_in': ['256.b1.a1', '384.a1.a1', '384.c1.a1', '384.b1.a1', '384.d1.a1', '384.e1.a1', '384.g1.a1', '384.f1.a1'], 'normal_contains': ['1536.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '768.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209406
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '768.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['256.c1.a1', '384.b1.a1', '384.h1.a1', '384.h1.b1'], 'contains': ['1536.a1.a1'], 'core': '1536.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [24], 'label': '1536.10766179.768.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '768.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209407
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '768.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['256.d1.a1', '384.c1.a1', '384.h1.a1', '384.h1.b1', '384.m1.a1', '384.m1.b1', '384.n1.a1', '384.n1.b1'], 'contains': ['1536.a1.a1'], 'core': '1536.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8], 'label': '1536.10766179.768.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '768.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209408
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '768.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['256.e1.a1', '384.i1.a1', '384.i1.b1', '384.k1.a1'], 'contains': ['1536.a1.a1'], 'core': '1536.a1.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1347], 'label': '1536.10766179.768.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '48.q1.a1', 'old_label': '768.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209409
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '1536.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['512.a1.a1', '768.a1.a1', '768.a1.b1', '768.b1.a1', '768.c1.a1', '768.d1.a1', '768.e1.a1'], 'contains': [], 'core': '1536.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '1536.10766179.1536.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.a1.a1', 'normal_contained_in': ['512.a1.a1', '768.b1.a1', '768.a1.a1', '768.a1.b1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1536.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209410
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1'], 'contains': ['16.a1.a1', '16.s1.a1', '16.s1.b1', '16.bt1.a1', '16.bt1.b1', '16.bu1.a1', '16.bu1.b1', '24.k1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 768, 4, 16, 8, 384, 512], 'label': '1536.10766179.8.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '8.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209411
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.n1.a1', '4.o1.a1'], 'contains': ['16.b1.a1', '16.p1.a1', '16.r1.a1', '16.w1.a1', '16.x1.a1', '24.l1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 768, 384, 1160, 512, 960, 16], 'label': '1536.10766179.8.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '8.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209412
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '4.n1.a1', '4.o1.a1'], 'contains': ['16.b1.a1', '16.y1.a1', '16.bm1.a1', '16.by1.a1', '24.n1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 768, 384, 1160, 512, 16, 960], 'label': '1536.10766179.8.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '8.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209413
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '4.l1.a1', '4.m1.a1'], 'contains': ['16.b1.a1', '16.z1.a1', '16.bk1.a1', '16.bv1.a1', '24.o1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [35, 768, 384, 1160, 512, 960, 976], 'label': '1536.10766179.8.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '8.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209414
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.l1.a1'], 'contains': ['16.e1.a1', '16.t1.a1', '16.z1.a1', '24.r1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 768, 384, 96, 512, 16, 192], 'label': '1536.10766179.8.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.l1.a1', 'old_label': '8.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209415
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.l1.a1'], 'contains': ['16.e1.b1', '16.t1.a1', '16.z1.a1', '24.r1.b1'], 'core': '16.e1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 768, 384, 488, 512, 784, 960], 'label': '1536.10766179.8.t1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.l1.a1', 'old_label': '8.t1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.t1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209416
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '2.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': ['768.e1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.a1', '4.f1.a1', '4.h1.a1', '4.n1.a1', '4.o1.a1', '6.f1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 512, 16, 960, 972, 1160, 768, 384, 96], 'label': '1536.10766179.2.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.d1.a1', '4.f1.a1', '4.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209417
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.n1.a1'], 'contains': ['16.e1.a1', '16.w1.a1', '16.y1.a1', '24.t1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 768, 384, 96, 512, 16, 960], 'label': '1536.10766179.8.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.n1.a1', 'old_label': '8.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209418
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.n1.a1'], 'contains': ['16.e1.b1', '16.w1.a1', '16.y1.a1', '24.t1.b1'], 'core': '16.e1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 768, 384, 488, 512, 784, 960], 'label': '1536.10766179.8.u1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.n1.a1', 'old_label': '8.u1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.u1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209419
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.m1.a1'], 'contains': ['16.j1.a1', '16.bd1.a1', '16.bk1.a1', '24.v1.a1'], 'core': '16.j1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 768, 384, 1444, 512, 408, 976], 'label': '1536.10766179.8.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '8.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209420
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.m1.a1'], 'contains': ['16.j1.b1', '16.bd1.a1', '16.bk1.a1', '24.v1.b1'], 'core': '16.j1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 768, 1152, 1252, 512, 408, 592], 'label': '1536.10766179.8.v1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '8.v1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.v1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209421
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1'], 'contains': ['16.i1.a1', '16.bf1.a1', '16.bh1.a1', '24.w1.a1'], 'core': '16.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [993, 768, 392, 1062, 512, 1364, 400], 'label': '1536.10766179.8.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209422
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1'], 'contains': ['16.i1.b1', '16.bf1.a1', '16.bh1.a1', '24.w1.b1'], 'core': '16.i1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [993, 768, 392, 1446, 512, 1364, 400], 'label': '1536.10766179.8.w1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.w1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.w1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209423
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.k1.a1', '16.bn1.a1', '16.bp1.a1', '16.bs1.a1', '16.ca1.a1', '24.x1.a1'], 'core': '16.k1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 768, 384, 972, 512, 1360, 1160], 'label': '1536.10766179.8.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209424
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.l1.a1', '16.bn1.a1', '16.bq1.a1', '16.br1.a1', '16.bz1.a1', '24.y1.a1'], 'core': '16.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 768, 384, 1364, 512, 960, 392], 'label': '1536.10766179.8.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209425
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.m1.a1', '16.bo1.a1', '16.bp1.a1', '16.br1.a1', '16.bz1.a1', '24.z1.a1'], 'core': '16.m1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 768, 384, 396, 512, 1360, 1160], 'label': '1536.10766179.8.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209426
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.p1.a1', '4.p1.b1'], 'contains': ['16.n1.a1', '16.bo1.a1', '16.bq1.a1', '16.bs1.a1', '16.ca1.a1', '24.ba1.a1'], 'core': '16.n1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 768, 384, 972, 512, 960, 1160], 'label': '1536.10766179.8.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209427
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '2.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': ['768.e1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.e1.a1', '4.f1.a1', '4.g1.a1', '4.q1.a1', '4.q1.b1', '6.a1.a1'], 'core': '2.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 768, 4, 192, 16, 512, 384, 8, 96], 'label': '1536.10766179.2.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.f1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.e1.a1', '4.f1.a1', '4.g1.a1', '6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209428
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1'], 'contains': ['16.k1.a1', '16.cb1.a1', '16.cc1.a1', '24.bb1.a1'], 'core': '16.k1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [102, 392, 1152, 1360, 768, 512, 204], 'label': '1536.10766179.8.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '8.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209429
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1'], 'contains': ['16.k1.a1', '16.bv1.a1', '24.bc1.a1'], 'core': '16.k1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [35, 768, 384, 972, 512, 1160, 976], 'label': '1536.10766179.8.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209430
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1'], 'contains': ['16.l1.a1', '16.bw1.a1', '16.bx1.a1', '24.bd1.a1'], 'core': '16.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1364, 384, 192, 96, 768, 512, 1160], 'label': '1536.10766179.8.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '8.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209431
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1'], 'contains': ['16.l1.a1', '16.by1.a1', '24.be1.a1'], 'core': '16.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 768, 384, 1364, 512, 392, 960], 'label': '1536.10766179.8.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1.a1', 'old_label': '8.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209432
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1'], 'contains': ['16.m1.a1', '16.bu1.a1', '16.bu1.b1', '24.bf1.a1'], 'core': '16.m1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 8, 1152, 1360, 768, 512, 4], 'label': '1536.10766179.8.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '8.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209433
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1'], 'contains': ['16.m1.a1', '16.bv1.a1', '24.bg1.a1'], 'core': '16.m1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [35, 768, 384, 396, 512, 1160, 976], 'label': '1536.10766179.8.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1.a1', 'old_label': '8.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209434
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.q1.a1', '4.q1.b1'], 'contains': ['16.n1.a1', '16.bw1.a1', '16.bx1.a1', '24.bh1.a1'], 'core': '16.n1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [972, 384, 192, 96, 768, 512, 392], 'label': '1536.10766179.8.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '8.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209435
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '4.q1.a1', '4.q1.b1'], 'contains': ['16.n1.a1', '16.cb1.a1', '16.cc1.a1', '24.bi1.a1'], 'core': '16.n1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [102, 392, 384, 960, 768, 512, 204], 'label': '1536.10766179.8.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '8.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209436
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '8.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '4.p1.a1', '4.p1.b1'], 'contains': ['16.n1.a1', '16.by1.a1', '24.bj1.a1'], 'core': '16.n1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 768, 384, 972, 512, 1160, 960], 'label': '1536.10766179.8.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209437
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.a1.a1', '6.c1.a1', '6.e1.a1'], 'contains': ['24.a1.a1', '24.f1.a1', '24.f1.b1', '24.k1.a1', '24.bf1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 16, 960], 'label': '1536.10766179.12.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.e1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '24.f1.a1', '24.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209438
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '2.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': ['768.e1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.g1.a1', '4.h1.a1', '4.i1.a1', '6.g1.a1'], 'core': '2.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 512, 960, 392, 102, 16, 768, 384, 1364], 'label': '1536.10766179.2.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.g1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.g1.a1', '4.i1.a1', '4.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209439
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.a1.a1', '6.d1.a1', '6.f1.a1'], 'contains': ['24.a1.a1', '24.b1.a1', '24.c1.a1', '24.bd1.a1', '24.bh1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [972, 16, 96], 'label': '1536.10766179.12.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.f1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '24.c1.a1', '24.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209440
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.a1.a1', '6.b1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '24.d1.a1', '24.e1.a1', '24.bb1.a1', '24.bi1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [102, 16, 960], 'label': '1536.10766179.12.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.g1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '24.e1.a1', '24.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209441
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.l1.a1', '6.d1.a1'], 'contains': ['24.b1.a1', '24.h1.a1', '24.o1.a1', '24.r1.a1', '24.r1.b1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [3, 1160, 96], 'label': '1536.10766179.12.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '12.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209442
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.m1.a1', '6.d1.a1'], 'contains': ['24.c1.a1', '24.h1.a1', '24.o1.a1', '24.v1.a1', '24.v1.b1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [3, 1444, 1344], 'label': '1536.10766179.12.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '12.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209443
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.b1.a1', '6.c1.a1', '6.d1.a1'], 'contains': ['24.a1.a1', '24.g1.a1', '24.h1.a1', '24.i1.a1', '24.p1.a1', '24.x1.a1', '24.y1.a1', '24.z1.a1', '24.ba1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [3, 972, 16, 960], 'label': '1536.10766179.12.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209445
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.b1.a1'], 'contains': ['24.e1.a1', '24.i1.a1', '24.q1.a1', '24.w1.a1', '24.w1.b1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [993, 1446, 384], 'label': '1536.10766179.12.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209446
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.b1.a1', '6.e1.a1', '6.f1.a1'], 'contains': ['24.a1.a1', '24.j1.a1', '24.l1.a1', '24.m1.a1', '24.q1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [33, 972, 960], 'label': '1536.10766179.12.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209447
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '6.c1.a1', '6.f1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '24.n1.a1', '24.be1.a1', '24.bj1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 972, 16], 'label': '1536.10766179.12.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209448
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '6.d1.a1', '6.e1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '24.o1.a1', '24.bc1.a1', '24.bg1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [35, 972, 960], 'label': '1536.10766179.12.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209449
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.c1.a1', '6.d1.a1', '6.e1.a1', '6.f1.a1', '6.g1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 2, 96], 'label': '1536.10766179.3.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209450
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.n1.a1', '6.f1.a1'], 'contains': ['24.b1.a1', '24.l1.a1', '24.n1.a1', '24.t1.a1', '24.t1.b1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 1160, 96], 'label': '1536.10766179.12.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '12.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209451
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.o1.a1', '6.f1.a1'], 'contains': ['24.c1.a1', '24.l1.a1', '24.n1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 1444], 'label': '1536.10766179.12.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1.a1', 'old_label': '12.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209452
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1', '6.b1.a1'], 'contains': ['24.e1.a1', '24.m1.a1', '24.p1.a1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [33, 1446], 'label': '1536.10766179.12.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209453
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-
id: 12209454
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.p1.a1', '6.c1.a1'], 'contains': ['24.f1.a1', '24.ba1.a1', '24.bj1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 2], 'label': '1536.10766179.12.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '12.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209455
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.p1.b1', '6.c1.a1'], 'contains': ['24.f1.b1', '24.ba1.a1', '24.bj1.a1'], 'core': '24.f1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 22], 'label': '1536.10766179.12.p1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '12.p1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209456
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.q1.a1', '6.a1.a1'], 'contains': ['24.f1.a1', '24.bh1.a1', '24.bi1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 96], 'label': '1536.10766179.12.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '12.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209457
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '12.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.q1.b1', '6.a1.a1'], 'contains': ['24.f1.b1', '24.bh1.a1', '24.bi1.a1'], 'core': '24.f1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [22, 96], 'label': '1536.10766179.12.q1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1.a1', 'old_label': '12.q1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.q1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 12209458
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.m1.a1', '8.o1.a1', '8.p1.a1'], 'contains': ['32.a1.a1', '32.j1.a1', '32.k1.a1', '32.r1.a1', '32.bg1.a1', '48.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [396, 768, 776, 16, 384, 512], 'label': '1536.10766179.16.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.b1.a1'], 'normal_contains': ['32.a1.a1', '32.j1.a1', '32.k1.a1', '48.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 12209459
{'ambient': '1536.10766179', 'aut_centralizer_order': None, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.d1.a1', '8.e1.a1', '8.n1.a1', '8.q1.a1', '8.r1.a1', '8.s1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.h1.a1', '32.i1.a1', '32.l1.a1', '32.m1.a1', '48.b1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1160, 768, 384, 16, 960, 512], 'label': '1536.10766179.16.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.b1.a1', '8.e1.a1', '8.d1.a1'], 'normal_contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.m1.a1', '32.l1.a1', '32.i1.a1', '32.h1.a1', '48.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
