Extensions 1→N→G→Q→1 with N=D4 and Q=D7

Direct product G=N×Q with N=D4 and Q=D7
dρLabelID
D4×D7284+D4xD7112,31

Semidirect products G=N:Q with N=D4 and Q=D7
extensionφ:Q→Out NdρLabelID
D4⋊D7 = D4⋊D7φ: D7/C7C2 ⊆ Out D4564+D4:D7112,14
D42D7 = D42D7φ: trivial image564-D4:2D7112,32

Non-split extensions G=N.Q with N=D4 and Q=D7
extensionφ:Q→Out NdρLabelID
D4.D7 = D4.D7φ: D7/C7C2 ⊆ Out D4564-D4.D7112,15

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