Extensions 1→N→G→Q→1 with N=Dic5 and Q=C18

Direct product G=NxQ with N=Dic5 and Q=C18
dρLabelID
C18xDic5360C18xDic5360,18

Semidirect products G=N:Q with N=Dic5 and Q=C18
extensionφ:Q→Out NdρLabelID
Dic5:C18 = C9xC5:D4φ: C18/C9C2 ⊆ Out Dic51802Dic5:C18360,19
Dic5:2C18 = D5xC36φ: trivial image1802Dic5:2C18360,16

Non-split extensions G=N.Q with N=Dic5 and Q=C18
extensionφ:Q→Out NdρLabelID
Dic5.1C18 = C9xDic10φ: C18/C9C2 ⊆ Out Dic53602Dic5.1C18360,15
Dic5.2C18 = C9xC5:C8φ: C18/C9C2 ⊆ Out Dic53604Dic5.2C18360,5

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