Extensions 1→N→G→Q→1 with N=C3 and Q=Dic6

Direct product G=NxQ with N=C3 and Q=Dic6
dρLabelID
C3xDic6242C3xDic672,26

Semidirect products G=N:Q with N=C3 and Q=Dic6
extensionφ:Q→Aut NdρLabelID
C3:1Dic6 = C32:2Q8φ: Dic6/Dic3C2 ⊆ Aut C3244-C3:1Dic672,24
C3:2Dic6 = C32:4Q8φ: Dic6/C12C2 ⊆ Aut C372C3:2Dic672,31

Non-split extensions G=N.Q with N=C3 and Q=Dic6
extensionφ:Q→Aut NdρLabelID
C3.Dic6 = Dic18φ: Dic6/C12C2 ⊆ Aut C3722-C3.Dic672,4

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