Extensions 1→N→G→Q→1 with N=C4×Q8 and Q=D7

Direct product G=N×Q with N=C4×Q8 and Q=D7
dρLabelID
C4×Q8×D7224C4xQ8xD7448,1024

Semidirect products G=N:Q with N=C4×Q8 and Q=D7
extensionφ:Q→Out NdρLabelID
(C4×Q8)⋊1D7 = C4×Q8⋊D7φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):1D7448,559
(C4×Q8)⋊2D7 = C42.56D14φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):2D7448,560
(C4×Q8)⋊3D7 = Q8⋊D28φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):3D7448,561
(C4×Q8)⋊4D7 = Q8.1D28φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):4D7448,562
(C4×Q8)⋊5D7 = C42.122D14φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):5D7448,1021
(C4×Q8)⋊6D7 = C42.125D14φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):6D7448,1025
(C4×Q8)⋊7D7 = C42.126D14φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):7D7448,1027
(C4×Q8)⋊8D7 = Q8×D28φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):8D7448,1028
(C4×Q8)⋊9D7 = Q85D28φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):9D7448,1029
(C4×Q8)⋊10D7 = Q86D28φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):10D7448,1030
(C4×Q8)⋊11D7 = C42.232D14φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):11D7448,1031
(C4×Q8)⋊12D7 = D2810Q8φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):12D7448,1032
(C4×Q8)⋊13D7 = C42.131D14φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):13D7448,1033
(C4×Q8)⋊14D7 = C42.132D14φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):14D7448,1034
(C4×Q8)⋊15D7 = C42.133D14φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):15D7448,1035
(C4×Q8)⋊16D7 = C42.134D14φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):16D7448,1036
(C4×Q8)⋊17D7 = C42.135D14φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):17D7448,1037
(C4×Q8)⋊18D7 = C42.136D14φ: D7/C7C2 ⊆ Out C4×Q8224(C4xQ8):18D7448,1038
(C4×Q8)⋊19D7 = C4×Q82D7φ: trivial image224(C4xQ8):19D7448,1026

Non-split extensions G=N.Q with N=C4×Q8 and Q=D7
extensionφ:Q→Out NdρLabelID
(C4×Q8).1D7 = C28.26Q16φ: D7/C7C2 ⊆ Out C4×Q8448(C4xQ8).1D7448,92
(C4×Q8).2D7 = C28.48SD16φ: D7/C7C2 ⊆ Out C4×Q8448(C4xQ8).2D7448,554
(C4×Q8).3D7 = C28.23Q16φ: D7/C7C2 ⊆ Out C4×Q8448(C4xQ8).3D7448,555
(C4×Q8).4D7 = Q8.3Dic14φ: D7/C7C2 ⊆ Out C4×Q8448(C4xQ8).4D7448,556
(C4×Q8).5D7 = C42.210D14φ: D7/C7C2 ⊆ Out C4×Q8448(C4xQ8).5D7448,558
(C4×Q8).6D7 = C4×C7⋊Q16φ: D7/C7C2 ⊆ Out C4×Q8448(C4xQ8).6D7448,563
(C4×Q8).7D7 = C42.59D14φ: D7/C7C2 ⊆ Out C4×Q8448(C4xQ8).7D7448,564
(C4×Q8).8D7 = C287Q16φ: D7/C7C2 ⊆ Out C4×Q8448(C4xQ8).8D7448,565
(C4×Q8).9D7 = Q8×Dic14φ: D7/C7C2 ⊆ Out C4×Q8448(C4xQ8).9D7448,1019
(C4×Q8).10D7 = Dic1410Q8φ: D7/C7C2 ⊆ Out C4×Q8448(C4xQ8).10D7448,1020
(C4×Q8).11D7 = Q85Dic14φ: D7/C7C2 ⊆ Out C4×Q8448(C4xQ8).11D7448,1022
(C4×Q8).12D7 = Q86Dic14φ: D7/C7C2 ⊆ Out C4×Q8448(C4xQ8).12D7448,1023
(C4×Q8).13D7 = Q8×C7⋊C8φ: trivial image448(C4xQ8).13D7448,557

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