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/C1 → D4 ⊆ Aut C72144+C7^2:D4392,37
C72⋊2D4 = C72⋊2D4φ: D4/C2 → C22 ⊆ Aut C72564-C7^2:2D4392,20
C72⋊3D4 = C7⋊D28φ: D4/C2 → C22 ⊆ Aut C72284+C7^2:3D4392,21
C72⋊4D4 = C7×D28φ: D4/C4 → C2 ⊆ Aut C72562C7^2:4D4392,25
C72⋊5D4 = C28⋊D7φ: D4/C4 → C2 ⊆ Aut C72196C7^2:5D4392,30
C72⋊6D4 = C7×C7⋊D4φ: D4/C22 → C2 ⊆ Aut C72282C7^2:6D4392,27
C72⋊7D4 = C72⋊7D4φ: D4/C22 → C2 ⊆ Aut C72196C7^2:7D4392,32


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