Extensions 1→N→G→Q→1 with N=C3 and Q=C2×Dic6

Direct product G=N×Q with N=C3 and Q=C2×Dic6
dρLabelID
C6×Dic648C6xDic6144,158

Semidirect products G=N:Q with N=C3 and Q=C2×Dic6
extensionφ:Q→Aut NdρLabelID
C31(C2×Dic6) = S3×Dic6φ: C2×Dic6/Dic6C2 ⊆ Aut C3484-C3:1(C2xDic6)144,137
C32(C2×Dic6) = C2×C322Q8φ: C2×Dic6/C2×Dic3C2 ⊆ Aut C348C3:2(C2xDic6)144,152
C33(C2×Dic6) = C2×C324Q8φ: C2×Dic6/C2×C12C2 ⊆ Aut C3144C3:3(C2xDic6)144,168

Non-split extensions G=N.Q with N=C3 and Q=C2×Dic6
extensionφ:Q→Aut NdρLabelID
C3.(C2×Dic6) = C2×Dic18φ: C2×Dic6/C2×C12C2 ⊆ Aut C3144C3.(C2xDic6)144,37

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