# Extensions 1→N→G→Q→1 with N=C4×D4 and Q=D7

Direct product G=N×Q with N=C4×D4 and Q=D7
dρLabelID
C4×D4×D7112C4xD4xD7448,997

Semidirect products G=N:Q with N=C4×D4 and Q=D7
extensionφ:Q→Out NdρLabelID
(C4×D4)⋊1D7 = C4×D4⋊D7φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):1D7448,547
(C4×D4)⋊2D7 = C42.48D14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):2D7448,548
(C4×D4)⋊3D7 = C287D8φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):3D7448,549
(C4×D4)⋊4D7 = D4.1D28φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):4D7448,550
(C4×D4)⋊5D7 = C42.102D14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):5D7448,991
(C4×D4)⋊6D7 = C42.104D14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):6D7448,993
(C4×D4)⋊7D7 = C4211D14φ: D7/C7C2 ⊆ Out C4×D4112(C4xD4):7D7448,998
(C4×D4)⋊8D7 = C42.108D14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):8D7448,999
(C4×D4)⋊9D7 = C4212D14φ: D7/C7C2 ⊆ Out C4×D4112(C4xD4):9D7448,1000
(C4×D4)⋊10D7 = C42.228D14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):10D7448,1001
(C4×D4)⋊11D7 = D4×D28φ: D7/C7C2 ⊆ Out C4×D4112(C4xD4):11D7448,1002
(C4×D4)⋊12D7 = D2823D4φ: D7/C7C2 ⊆ Out C4×D4112(C4xD4):12D7448,1003
(C4×D4)⋊13D7 = D2824D4φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):13D7448,1004
(C4×D4)⋊14D7 = Dic1423D4φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):14D7448,1005
(C4×D4)⋊15D7 = Dic1424D4φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):15D7448,1006
(C4×D4)⋊16D7 = D45D28φ: D7/C7C2 ⊆ Out C4×D4112(C4xD4):16D7448,1007
(C4×D4)⋊17D7 = D46D28φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):17D7448,1008
(C4×D4)⋊18D7 = C4216D14φ: D7/C7C2 ⊆ Out C4×D4112(C4xD4):18D7448,1009
(C4×D4)⋊19D7 = C42.229D14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):19D7448,1010
(C4×D4)⋊20D7 = C42.113D14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):20D7448,1011
(C4×D4)⋊21D7 = C42.114D14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):21D7448,1012
(C4×D4)⋊22D7 = C4217D14φ: D7/C7C2 ⊆ Out C4×D4112(C4xD4):22D7448,1013
(C4×D4)⋊23D7 = C42.115D14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):23D7448,1014
(C4×D4)⋊24D7 = C42.116D14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):24D7448,1015
(C4×D4)⋊25D7 = C42.117D14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):25D7448,1016
(C4×D4)⋊26D7 = C42.118D14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):26D7448,1017
(C4×D4)⋊27D7 = C42.119D14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4):27D7448,1018
(C4×D4)⋊28D7 = C4×D42D7φ: trivial image224(C4xD4):28D7448,989

Non-split extensions G=N.Q with N=C4×D4 and Q=D7
extensionφ:Q→Out NdρLabelID
(C4×D4).1D7 = C28.57D8φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4).1D7448,91
(C4×D4).2D7 = C28.50D8φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4).2D7448,541
(C4×D4).3D7 = C28.38SD16φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4).3D7448,542
(C4×D4).4D7 = D4.3Dic14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4).4D7448,543
(C4×D4).5D7 = C42.47D14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4).5D7448,545
(C4×D4).6D7 = C283M4(2)φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4).6D7448,546
(C4×D4).7D7 = C4×D4.D7φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4).7D7448,551
(C4×D4).8D7 = C42.51D14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4).8D7448,552
(C4×D4).9D7 = D4.2D28φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4).9D7448,553
(C4×D4).10D7 = D4×Dic14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4).10D7448,990
(C4×D4).11D7 = D45Dic14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4).11D7448,992
(C4×D4).12D7 = C42.105D14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4).12D7448,994
(C4×D4).13D7 = C42.106D14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4).13D7448,995
(C4×D4).14D7 = D46Dic14φ: D7/C7C2 ⊆ Out C4×D4224(C4xD4).14D7448,996
(C4×D4).15D7 = D4×C7⋊C8φ: trivial image224(C4xD4).15D7448,544

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