Extensions 1→N→G→Q→1 with N=C3 and Q=C2×Dic3

Direct product G=N×Q with N=C3 and Q=C2×Dic3
dρLabelID
C6×Dic324C6xDic372,29

Semidirect products G=N:Q with N=C3 and Q=C2×Dic3
extensionφ:Q→Aut NdρLabelID
C31(C2×Dic3) = S3×Dic3φ: C2×Dic3/Dic3C2 ⊆ Aut C3244-C3:1(C2xDic3)72,20
C32(C2×Dic3) = C2×C3⋊Dic3φ: C2×Dic3/C2×C6C2 ⊆ Aut C372C3:2(C2xDic3)72,34

Non-split extensions G=N.Q with N=C3 and Q=C2×Dic3
extensionφ:Q→Aut NdρLabelID
C3.(C2×Dic3) = C2×Dic9φ: C2×Dic3/C2×C6C2 ⊆ Aut C372C3.(C2xDic3)72,7

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