Extensions 1→N→G→Q→1 with N=Dic9 and Q=C2

Direct product G=NxQ with N=Dic9 and Q=C2
dρLabelID
C2xDic972C2xDic972,7

Semidirect products G=N:Q with N=Dic9 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic9:C2 = C9:D4φ: C2/C1C2 ⊆ Out Dic9362Dic9:C272,8
Dic9:2C2 = C4xD9φ: trivial image362Dic9:2C272,5

Non-split extensions G=N.Q with N=Dic9 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic9.C2 = Dic18φ: C2/C1C2 ⊆ Out Dic9722-Dic9.C272,4

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