Extensions 1→N→G→Q→1 with N=Dic3 and Q=Dic5

Direct product G=N×Q with N=Dic3 and Q=Dic5
dρLabelID
Dic3×Dic5240Dic3xDic5240,25

Semidirect products G=N:Q with N=Dic3 and Q=Dic5
extensionφ:Q→Out NdρLabelID
Dic3⋊Dic5 = C6.Dic10φ: Dic5/C10C2 ⊆ Out Dic3240Dic3:Dic5240,31

Non-split extensions G=N.Q with N=Dic3 and Q=Dic5
extensionφ:Q→Out NdρLabelID
Dic3.Dic5 = D6.Dic5φ: Dic5/C10C2 ⊆ Out Dic31204Dic3.Dic5240,11
Dic3.2Dic5 = S3×C52C8φ: trivial image1204Dic3.2Dic5240,8

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