Extensions 1→N→G→Q→1 with N=C3 and Q=D4xC18

Direct product G=NxQ with N=C3 and Q=D4xC18
dρLabelID
D4xC3xC18216D4xC3xC18432,403

Semidirect products G=N:Q with N=C3 and Q=D4xC18
extensionφ:Q→Aut NdρLabelID
C3:1(D4xC18) = C18xD12φ: D4xC18/C2xC36C2 ⊆ Aut C3144C3:1(D4xC18)432,346
C3:2(D4xC18) = S3xD4xC9φ: D4xC18/D4xC9C2 ⊆ Aut C3724C3:2(D4xC18)432,358
C3:3(D4xC18) = C18xC3:D4φ: D4xC18/C22xC18C2 ⊆ Aut C372C3:3(D4xC18)432,375

Non-split extensions G=N.Q with N=C3 and Q=D4xC18
extensionφ:Q→Aut NdρLabelID
C3.(D4xC18) = D4xC54central extension (φ=1)216C3.(D4xC18)432,54

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