Extensions 1→N→G→Q→1 with N=D4 and Q=C18

Direct product G=NxQ with N=D4 and Q=C18
dρLabelID
D4xC1872D4xC18144,48

Semidirect products G=N:Q with N=D4 and Q=C18
extensionφ:Q→Out NdρLabelID
D4:C18 = C9xD8φ: C18/C9C2 ⊆ Out D4722D4:C18144,25
D4:2C18 = C9xC4oD4φ: trivial image722D4:2C18144,50

Non-split extensions G=N.Q with N=D4 and Q=C18
extensionφ:Q→Out NdρLabelID
D4.C18 = C9xSD16φ: C18/C9C2 ⊆ Out D4722D4.C18144,26

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