Extensions 1→N→G→Q→1 with N=Dic18 and Q=C2

Direct product G=NxQ with N=Dic18 and Q=C2
dρLabelID
C2xDic18144C2xDic18144,37

Semidirect products G=N:Q with N=Dic18 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic18:1C2 = C72:C2φ: C2/C1C2 ⊆ Out Dic18722Dic18:1C2144,7
Dic18:2C2 = D4.D9φ: C2/C1C2 ⊆ Out Dic18724-Dic18:2C2144,15
Dic18:3C2 = D4:2D9φ: C2/C1C2 ⊆ Out Dic18724-Dic18:3C2144,42
Dic18:4C2 = Q8xD9φ: C2/C1C2 ⊆ Out Dic18724-Dic18:4C2144,43
Dic18:5C2 = D36:5C2φ: trivial image722Dic18:5C2144,40

Non-split extensions G=N.Q with N=Dic18 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic18.1C2 = Dic36φ: C2/C1C2 ⊆ Out Dic181442-Dic18.1C2144,4
Dic18.2C2 = C9:Q16φ: C2/C1C2 ⊆ Out Dic181444-Dic18.2C2144,17

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