Extensions 1→N→G→Q→1 with N=C3 and Q=C23xDic3

Direct product G=NxQ with N=C3 and Q=C23xDic3
dρLabelID
Dic3xC22xC696Dic3xC2^2xC6288,1001

Semidirect products G=N:Q with N=C3 and Q=C23xDic3
extensionφ:Q→Aut NdρLabelID
C3:1(C23xDic3) = C22xS3xDic3φ: C23xDic3/C22xDic3C2 ⊆ Aut C396C3:1(C2^3xDic3)288,969
C3:2(C23xDic3) = C23xC3:Dic3φ: C23xDic3/C23xC6C2 ⊆ Aut C3288C3:2(C2^3xDic3)288,1016

Non-split extensions G=N.Q with N=C3 and Q=C23xDic3
extensionφ:Q→Aut NdρLabelID
C3.(C23xDic3) = C23xDic9φ: C23xDic3/C23xC6C2 ⊆ Aut C3288C3.(C2^3xDic3)288,365

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