Extensions 1→N→G→Q→1 with N=C22 and Q=C3xDic3

Direct product G=NxQ with N=C22 and Q=C3xDic3
dρLabelID
Dic3xC2xC648Dic3xC2xC6144,166

Semidirect products G=N:Q with N=C22 and Q=C3xDic3
extensionφ:Q→Aut NdρLabelID
C22:(C3xDic3) = C3xA4:C4φ: C3xDic3/C6S3 ⊆ Aut C22363C2^2:(C3xDic3)144,123
C22:2(C3xDic3) = Dic3xA4φ: C3xDic3/Dic3C3 ⊆ Aut C22366-C2^2:2(C3xDic3)144,129
C22:3(C3xDic3) = C3xC6.D4φ: C3xDic3/C3xC6C2 ⊆ Aut C2224C2^2:3(C3xDic3)144,84

Non-split extensions G=N.Q with N=C22 and Q=C3xDic3
extensionφ:Q→Aut NdρLabelID
C22.(C3xDic3) = C3xC4.Dic3φ: C3xDic3/C3xC6C2 ⊆ Aut C22242C2^2.(C3xDic3)144,75
C22.2(C3xDic3) = C6xC3:C8central extension (φ=1)48C2^2.2(C3xDic3)144,74

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