Extensions 1→N→G→Q→1 with N=D4 and Q=D5

Direct product G=N×Q with N=D4 and Q=D5
dρLabelID
D4×D5204+D4xD580,39

Semidirect products G=N:Q with N=D4 and Q=D5
extensionφ:Q→Out NdρLabelID
D4⋊D5 = D4⋊D5φ: D5/C5C2 ⊆ Out D4404+D4:D580,15
D42D5 = D42D5φ: trivial image404-D4:2D580,40

Non-split extensions G=N.Q with N=D4 and Q=D5
extensionφ:Q→Out NdρLabelID
D4.D5 = D4.D5φ: D5/C5C2 ⊆ Out D4404-D4.D580,16

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