Extensions 1→N→G→Q→1 with N=C72 and Q=D4

Direct product G=N×Q with N=C72 and Q=D4
dρLabelID
D4×C72196D4xC7^2392,34

Semidirect products G=N:Q with N=C72 and Q=D4
extensionφ:Q→Aut NdρLabelID
C72⋊D4 = D7≀C2φ: D4/C1D4 ⊆ Aut C72144+C7^2:D4392,37
C722D4 = C722D4φ: D4/C2C22 ⊆ Aut C72564-C7^2:2D4392,20
C723D4 = C7⋊D28φ: D4/C2C22 ⊆ Aut C72284+C7^2:3D4392,21
C724D4 = C7×D28φ: D4/C4C2 ⊆ Aut C72562C7^2:4D4392,25
C725D4 = C28⋊D7φ: D4/C4C2 ⊆ Aut C72196C7^2:5D4392,30
C726D4 = C7×C7⋊D4φ: D4/C22C2 ⊆ Aut C72282C7^2:6D4392,27
C727D4 = C727D4φ: D4/C22C2 ⊆ Aut C72196C7^2:7D4392,32


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