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Extensions 1→N→G→Q→1 with N=C6xC4:C4 and Q=C2

Direct product G=NxQ with N=C6xC4:C4 and Q=C2
dρLabelID
C2xC6xC4:C4192C2xC6xC4:C4192,1402

Semidirect products G=N:Q with N=C6xC4:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6xC4:C4):1C2 = C2xC6.D8φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):1C2192,524
(C6xC4:C4):2C2 = C4oD12:C4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):2C2192,525
(C6xC4:C4):3C2 = (C2xC6).40D8φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):3C2192,526
(C6xC4:C4):4C2 = C4:C4.228D6φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):4C2192,527
(C6xC4:C4):5C2 = C4:(D6:C4)φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):5C2192,546
(C6xC4:C4):6C2 = (C2xD12):10C4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):6C2192,547
(C6xC4:C4):7C2 = C2xS3xC4:C4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):7C2192,1060
(C6xC4:C4):8C2 = C2xC4:C4:7S3φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):8C2192,1061
(C6xC4:C4):9C2 = C2xDic3:5D4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):9C2192,1062
(C6xC4:C4):10C2 = C6.82+ 1+4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):10C2192,1063
(C6xC4:C4):11C2 = C2xD6.D4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):11C2192,1064
(C6xC4:C4):12C2 = C2xC12:D4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):12C2192,1065
(C6xC4:C4):13C2 = C6.2- 1+4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):13C2192,1066
(C6xC4:C4):14C2 = C2xD6:Q8φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):14C2192,1067
(C6xC4:C4):15C2 = C2xC4.D12φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):15C2192,1068
(C6xC4:C4):16C2 = C6.2+ 1+4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):16C2192,1069
(C6xC4:C4):17C2 = C6.102+ 1+4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):17C2192,1070
(C6xC4:C4):18C2 = C2xC4:C4:S3φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):18C2192,1071
(C6xC4:C4):19C2 = C6.52- 1+4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):19C2192,1072
(C6xC4:C4):20C2 = C6.112+ 1+4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):20C2192,1073
(C6xC4:C4):21C2 = C6.62- 1+4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):21C2192,1074
(C6xC4:C4):22C2 = (C2xC4):3D12φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):22C2192,550
(C6xC4:C4):23C2 = (C2xC12).56D4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):23C2192,553
(C6xC4:C4):24C2 = D6:C4:6C4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):24C2192,548
(C6xC4:C4):25C2 = D6:C4:7C4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):25C2192,549
(C6xC4:C4):26C2 = (C2xC12).289D4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):26C2192,551
(C6xC4:C4):27C2 = (C2xC12).290D4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):27C2192,552
(C6xC4:C4):28C2 = C3xC23.7Q8φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):28C2192,813
(C6xC4:C4):29C2 = C3xC23.8Q8φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):29C2192,818
(C6xC4:C4):30C2 = C3xC24.C22φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):30C2192,821
(C6xC4:C4):31C2 = C3xC24.3C22φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):31C2192,823
(C6xC4:C4):32C2 = C3xC23.10D4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):32C2192,827
(C6xC4:C4):33C2 = C3xC23.Q8φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):33C2192,829
(C6xC4:C4):34C2 = C3xC23.11D4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):34C2192,830
(C6xC4:C4):35C2 = C3xC23.4Q8φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):35C2192,832
(C6xC4:C4):36C2 = C6xD4:C4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):36C2192,847
(C6xC4:C4):37C2 = C3xC23.36D4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):37C2192,850
(C6xC4:C4):38C2 = C3xC22.D8φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):38C2192,913
(C6xC4:C4):39C2 = C3xC23.46D4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):39C2192,914
(C6xC4:C4):40C2 = C3xC23.33C23φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):40C2192,1409
(C6xC4:C4):41C2 = C6xC4:D4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):41C2192,1411
(C6xC4:C4):42C2 = C6xC22:Q8φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):42C2192,1412
(C6xC4:C4):43C2 = C6xC22.D4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):43C2192,1413
(C6xC4:C4):44C2 = C6xC42:2C2φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):44C2192,1417
(C6xC4:C4):45C2 = C3xC22.31C24φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):45C2192,1426
(C6xC4:C4):46C2 = C3xC22.33C24φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):46C2192,1428
(C6xC4:C4):47C2 = C3xD4:6D4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):47C2192,1436
(C6xC4:C4):48C2 = C3xC22.46C24φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):48C2192,1441
(C6xC4:C4):49C2 = C3xC22.47C24φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):49C2192,1442
(C6xC4:C4):50C2 = C3xD4:3Q8φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4):50C2192,1443
(C6xC4:C4):51C2 = C6xC42:C2φ: trivial image96(C6xC4:C4):51C2192,1403
(C6xC4:C4):52C2 = D4xC2xC12φ: trivial image96(C6xC4:C4):52C2192,1404

Non-split extensions G=N.Q with N=C6xC4:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6xC4:C4).1C2 = C12.C42φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).1C2192,88
(C6xC4:C4).2C2 = C12.(C4:C4)φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4).2C2192,89
(C6xC4:C4).3C2 = C2xC6.Q16φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).3C2192,521
(C6xC4:C4).4C2 = C2xC12.Q8φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).4C2192,522
(C6xC4:C4).5C2 = C4:C4.225D6φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4).5C2192,523
(C6xC4:C4).6C2 = C2xC6.SD16φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).6C2192,528
(C6xC4:C4).7C2 = C4:C4.230D6φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4).7C2192,529
(C6xC4:C4).8C2 = C4:C4.231D6φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4).8C2192,530
(C6xC4:C4).9C2 = C12:(C4:C4)φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).9C2192,531
(C6xC4:C4).10C2 = C4.(D6:C4)φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).10C2192,532
(C6xC4:C4).11C2 = Dic3xC4:C4φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).11C2192,533
(C6xC4:C4).12C2 = (C4xDic3):8C4φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).12C2192,534
(C6xC4:C4).13C2 = (C4xDic3):9C4φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).13C2192,536
(C6xC4:C4).14C2 = C4:C4:5Dic3φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).14C2192,539
(C6xC4:C4).15C2 = C4:C4:6Dic3φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).15C2192,543
(C6xC4:C4).16C2 = C2xDic6:C4φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).16C2192,1055
(C6xC4:C4).17C2 = C2xC12:Q8φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).17C2192,1056
(C6xC4:C4).18C2 = C2xDic3.Q8φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).18C2192,1057
(C6xC4:C4).19C2 = C2xC4.Dic6φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).19C2192,1058
(C6xC4:C4).20C2 = C6.72+ 1+4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4).20C2192,1059
(C6xC4:C4).21C2 = (C2xDic3):Q8φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).21C2192,538
(C6xC4:C4).22C2 = (C2xC4).44D12φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).22C2192,540
(C6xC4:C4).23C2 = (C2xC12).54D4φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).23C2192,541
(C6xC4:C4).24C2 = (C2xC12).55D4φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).24C2192,545
(C6xC4:C4).25C2 = (C2xC12):C8φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4).25C2192,87
(C6xC4:C4).26C2 = Dic3:(C4:C4)φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).26C2192,535
(C6xC4:C4).27C2 = C6.67(C4xD4)φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).27C2192,537
(C6xC4:C4).28C2 = C3xC22.M4(2)φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4).28C2192,130
(C6xC4:C4).29C2 = C3xC22.4Q16φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).29C2192,146
(C6xC4:C4).30C2 = C3xC22.C42φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4).30C2192,149
(C6xC4:C4).31C2 = (C2xDic3).Q8φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).31C2192,542
(C6xC4:C4).32C2 = (C2xC12).288D4φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).32C2192,544
(C6xC4:C4).33C2 = C3xC42:8C4φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).33C2192,815
(C6xC4:C4).34C2 = C3xC42:9C4φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).34C2192,817
(C6xC4:C4).35C2 = C3xC23.63C23φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).35C2192,820
(C6xC4:C4).36C2 = C3xC23.65C23φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).36C2192,822
(C6xC4:C4).37C2 = C3xC23.67C23φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).37C2192,824
(C6xC4:C4).38C2 = C3xC23.78C23φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).38C2192,828
(C6xC4:C4).39C2 = C3xC23.81C23φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).39C2192,831
(C6xC4:C4).40C2 = C3xC23.83C23φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).40C2192,833
(C6xC4:C4).41C2 = C6xQ8:C4φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).41C2192,848
(C6xC4:C4).42C2 = C6xC4.Q8φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).42C2192,858
(C6xC4:C4).43C2 = C6xC2.D8φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).43C2192,859
(C6xC4:C4).44C2 = C3xM4(2):C4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4).44C2192,861
(C6xC4:C4).45C2 = C3xC23.47D4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4).45C2192,916
(C6xC4:C4).46C2 = C3xC23.48D4φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4).46C2192,917
(C6xC4:C4).47C2 = C6xC42.C2φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).47C2192,1416
(C6xC4:C4).48C2 = C6xC4:Q8φ: C2/C1 → C2 ⊆ Out C6xC4:C4192(C6xC4:C4).48C2192,1420
(C6xC4:C4).49C2 = C3xC23.41C23φ: C2/C1 → C2 ⊆ Out C6xC4:C496(C6xC4:C4).49C2192,1433
(C6xC4:C4).50C2 = C12xC4:C4φ: trivial image192(C6xC4:C4).50C2192,811
(C6xC4:C4).51C2 = Q8xC2xC12φ: trivial image192(C6xC4:C4).51C2192,1405

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