Extensions 1→N→G→Q→1 with N=C7 and Q=C4○D4

Direct product G=N×Q with N=C7 and Q=C4○D4
dρLabelID
C7×C4○D4562C7xC4oD4112,40

Semidirect products G=N:Q with N=C7 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C7⋊1(C4○D4) = C4○D28φ: C4○D4/C2×C4 → C2 ⊆ Aut C7562C7:1(C4oD4)112,30
C7⋊2(C4○D4) = D4⋊2D7φ: C4○D4/D4 → C2 ⊆ Aut C7564-C7:2(C4oD4)112,32
C7⋊3(C4○D4) = Q8⋊2D7φ: C4○D4/Q8 → C2 ⊆ Aut C7564+C7:3(C4oD4)112,34


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