Extensions 1→N→G→Q→1 with N=Dic9 and Q=C4

Direct product G=NxQ with N=Dic9 and Q=C4
dρLabelID
C4xDic9144C4xDic9144,11

Semidirect products G=N:Q with N=Dic9 and Q=C4
extensionφ:Q→Out NdρLabelID
Dic9:C4 = Dic9:C4φ: C4/C2C2 ⊆ Out Dic9144Dic9:C4144,12

Non-split extensions G=N.Q with N=Dic9 and Q=C4
extensionφ:Q→Out NdρLabelID
Dic9.C4 = C8:D9φ: C4/C2C2 ⊆ Out Dic9722Dic9.C4144,6
Dic9.2C4 = C8xD9φ: trivial image722Dic9.2C4144,5

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