Extensions 1→N→G→Q→1 with N=C10 and Q=Dic9

Direct product G=NxQ with N=C10 and Q=Dic9
dρLabelID
C10xDic9360C10xDic9360,23

Semidirect products G=N:Q with N=C10 and Q=Dic9
extensionφ:Q→Aut NdρLabelID
C10:Dic9 = C2xC9:F5φ: Dic9/C9C4 ⊆ Aut C10904C10:Dic9360,44
C10:2Dic9 = C2xDic45φ: Dic9/C18C2 ⊆ Aut C10360C10:2Dic9360,28

Non-split extensions G=N.Q with N=C10 and Q=Dic9
extensionφ:Q→Aut NdρLabelID
C10.Dic9 = C45:C8φ: Dic9/C9C4 ⊆ Aut C103604C10.Dic9360,6
C10.2Dic9 = C45:3C8φ: Dic9/C18C2 ⊆ Aut C103602C10.2Dic9360,3
C10.3Dic9 = C5xC9:C8central extension (φ=1)3602C10.3Dic9360,1

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