Extensions 1→N→G→Q→1 with N=D4 and Q=C3xC18

Direct product G=NxQ with N=D4 and Q=C3xC18
dρLabelID
D4xC3xC18216D4xC3xC18432,403

Semidirect products G=N:Q with N=D4 and Q=C3xC18
extensionφ:Q→Out NdρLabelID
D4:(C3xC18) = D8xC3xC9φ: C3xC18/C3xC9C2 ⊆ Out D4216D4:(C3xC18)432,215
D4:2(C3xC18) = C4oD4xC3xC9φ: trivial image216D4:2(C3xC18)432,409

Non-split extensions G=N.Q with N=D4 and Q=C3xC18
extensionφ:Q→Out NdρLabelID
D4.(C3xC18) = SD16xC3xC9φ: C3xC18/C3xC9C2 ⊆ Out D4216D4.(C3xC18)432,218

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