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

Direct product G=N×Q with N=Dic9 and Q=C10
dρLabelID
C10×Dic9360C10xDic9360,23

Semidirect products G=N:Q with N=Dic9 and Q=C10
extensionφ:Q→Out NdρLabelID
Dic9⋊C10 = C5×C9⋊D4φ: C10/C5C2 ⊆ Out Dic91802Dic9:C10360,24
Dic92C10 = D9×C20φ: trivial image1802Dic9:2C10360,21

Non-split extensions G=N.Q with N=Dic9 and Q=C10
extensionφ:Q→Out NdρLabelID
Dic9.C10 = C5×Dic18φ: C10/C5C2 ⊆ Out Dic93602Dic9.C10360,20

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