Extensions 1→N→G→Q→1 with N=D4 and Q=F7

Direct product G=NxQ with N=D4 and Q=F7
dρLabelID
D4xF72812+D4xF7336,125

Semidirect products G=N:Q with N=D4 and Q=F7
extensionφ:Q→Out NdρLabelID
D4:F7 = D4:F7φ: F7/C7:C3C2 ⊆ Out D45612+D4:F7336,18
D4:2F7 = D4:2F7φ: trivial image5612-D4:2F7336,126

Non-split extensions G=N.Q with N=D4 and Q=F7
extensionφ:Q→Out NdρLabelID
D4.F7 = D4.F7φ: F7/C7:C3C2 ⊆ Out D45612-D4.F7336,19

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