Extensions 1→N→G→Q→1 with N=C2xC4xC12 and Q=C2

Direct product G=NxQ with N=C2xC4xC12 and Q=C2
dρLabelID
C22xC4xC12192C2^2xC4xC12192,1400

Semidirect products G=N:Q with N=C2xC4xC12 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC4xC12):1C2 = (C2xC42):3S3φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):1C2192,499
(C2xC4xC12):2C2 = C12xC22:C4φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):2C2192,810
(C2xC4xC12):3C2 = C3xC24.C22φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):3C2192,821
(C2xC4xC12):4C2 = C2xC42:3S3φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):4C2192,1037
(C2xC4xC12):5C2 = C6xC42:C2φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):5C2192,1403
(C2xC4xC12):6C2 = C6xC42:2C2φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):6C2192,1417
(C2xC4xC12):7C2 = (C2xC4):6D12φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):7C2192,498
(C2xC4xC12):8C2 = C2xC4:D12φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):8C2192,1034
(C2xC4xC12):9C2 = C2xC42:7S3φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):9C2192,1035
(C2xC4xC12):10C2 = C2xC42:4S3φ: C2/C1C2 ⊆ Aut C2xC4xC1248(C2xC4xC12):10C2192,486
(C2xC4xC12):11C2 = C2xC4xD12φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):11C2192,1032
(C2xC4xC12):12C2 = C4xC4oD12φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):12C2192,1033
(C2xC4xC12):13C2 = C42.276D6φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):13C2192,1036
(C2xC4xC12):14C2 = C42.277D6φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):14C2192,1038
(C2xC4xC12):15C2 = C4xD6:C4φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):15C2192,497
(C2xC4xC12):16C2 = S3xC2xC42φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):16C2192,1030
(C2xC4xC12):17C2 = C2xC42:2S3φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):17C2192,1031
(C2xC4xC12):18C2 = C3xC24.3C22φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):18C2192,823
(C2xC4xC12):19C2 = C6xC4wrC2φ: C2/C1C2 ⊆ Aut C2xC4xC1248(C2xC4xC12):19C2192,853
(C2xC4xC12):20C2 = D4xC2xC12φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):20C2192,1404
(C2xC4xC12):21C2 = C12xC4oD4φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):21C2192,1406
(C2xC4xC12):22C2 = C6xC4.4D4φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):22C2192,1415
(C2xC4xC12):23C2 = C3xC23.36C23φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):23C2192,1418
(C2xC4xC12):24C2 = C6xC4:1D4φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):24C2192,1419
(C2xC4xC12):25C2 = C3xC22.26C24φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12):25C2192,1421

Non-split extensions G=N.Q with N=C2xC4xC12 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC4xC12).1C2 = C3xC22.7C42φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).1C2192,142
(C2xC4xC12).2C2 = (C2xC42).6S3φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).2C2192,492
(C2xC4xC12).3C2 = C42:7Dic3φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).3C2192,496
(C2xC4xC12).4C2 = C3xC42:4C4φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).4C2192,809
(C2xC4xC12).5C2 = C12xC4:C4φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).5C2192,811
(C2xC4xC12).6C2 = C3xC42:5C4φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).6C2192,816
(C2xC4xC12).7C2 = C3xC23.63C23φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).7C2192,820
(C2xC4xC12).8C2 = C6xC8:C4φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).8C2192,836
(C2xC4xC12).9C2 = C12:4(C4:C4)φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).9C2192,487
(C2xC4xC12).10C2 = (C2xDic6):7C4φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).10C2192,488
(C2xC4xC12).11C2 = C42:10Dic3φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).11C2192,494
(C2xC4xC12).12C2 = C42:11Dic3φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).12C2192,495
(C2xC4xC12).13C2 = C2xC12:2Q8φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).13C2192,1027
(C2xC4xC12).14C2 = C2xC12.6Q8φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).14C2192,1028
(C2xC4xC12).15C2 = C12.8C42φ: C2/C1C2 ⊆ Aut C2xC4xC1248(C2xC4xC12).15C2192,82
(C2xC4xC12).16C2 = C4xC4.Dic3φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12).16C2192,481
(C2xC4xC12).17C2 = C2xC12:C8φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).17C2192,482
(C2xC4xC12).18C2 = C12:7M4(2)φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12).18C2192,483
(C2xC4xC12).19C2 = C42.285D6φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12).19C2192,484
(C2xC4xC12).20C2 = C42.270D6φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12).20C2192,485
(C2xC4xC12).21C2 = C4xC4:Dic3φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).21C2192,493
(C2xC4xC12).22C2 = C2xC4xDic6φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).22C2192,1026
(C2xC4xC12).23C2 = C42.274D6φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12).23C2192,1029
(C2xC4xC12).24C2 = (C2xC12):3C8φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).24C2192,83
(C2xC4xC12).25C2 = C2xC4xC3:C8φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).25C2192,479
(C2xC4xC12).26C2 = C2xC42.S3φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).26C2192,480
(C2xC4xC12).27C2 = Dic3xC42φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).27C2192,489
(C2xC4xC12).28C2 = C4xDic3:C4φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).28C2192,490
(C2xC4xC12).29C2 = C42:6Dic3φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).29C2192,491
(C2xC4xC12).30C2 = C3xC42:6C4φ: C2/C1C2 ⊆ Aut C2xC4xC1248(C2xC4xC12).30C2192,145
(C2xC4xC12).31C2 = C3xC42:8C4φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).31C2192,815
(C2xC4xC12).32C2 = C3xC42:9C4φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).32C2192,817
(C2xC4xC12).33C2 = C3xC23.65C23φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).33C2192,822
(C2xC4xC12).34C2 = C3xC23.67C23φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).34C2192,824
(C2xC4xC12).35C2 = C12xM4(2)φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12).35C2192,837
(C2xC4xC12).36C2 = C6xC4:C8φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).36C2192,855
(C2xC4xC12).37C2 = C3xC4:M4(2)φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12).37C2192,856
(C2xC4xC12).38C2 = C3xC42.12C4φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12).38C2192,864
(C2xC4xC12).39C2 = C3xC42.6C4φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12).39C2192,865
(C2xC4xC12).40C2 = Q8xC2xC12φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).40C2192,1405
(C2xC4xC12).41C2 = C6xC42.C2φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).41C2192,1416
(C2xC4xC12).42C2 = C6xC4:Q8φ: C2/C1C2 ⊆ Aut C2xC4xC12192(C2xC4xC12).42C2192,1420
(C2xC4xC12).43C2 = C3xC23.37C23φ: C2/C1C2 ⊆ Aut C2xC4xC1296(C2xC4xC12).43C2192,1422

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