Extensions 1→N→G→Q→1 with N=C3 and Q=C2xC3:D4

Direct product G=NxQ with N=C3 and Q=C2xC3:D4
dρLabelID
C6xC3:D424C6xC3:D4144,167

Semidirect products G=N:Q with N=C3 and Q=C2xC3:D4
extensionφ:Q→Aut NdρLabelID
C3:1(C2xC3:D4) = C2xC3:D12φ: C2xC3:D4/C2xDic3C2 ⊆ Aut C324C3:1(C2xC3:D4)144,151
C3:2(C2xC3:D4) = S3xC3:D4φ: C2xC3:D4/C3:D4C2 ⊆ Aut C3244C3:2(C2xC3:D4)144,153
C3:3(C2xC3:D4) = C2xD6:S3φ: C2xC3:D4/C22xS3C2 ⊆ Aut C348C3:3(C2xC3:D4)144,150
C3:4(C2xC3:D4) = C2xC32:7D4φ: C2xC3:D4/C22xC6C2 ⊆ Aut C372C3:4(C2xC3:D4)144,177

Non-split extensions G=N.Q with N=C3 and Q=C2xC3:D4
extensionφ:Q→Aut NdρLabelID
C3.(C2xC3:D4) = C2xC9:D4φ: C2xC3:D4/C22xC6C2 ⊆ Aut C372C3.(C2xC3:D4)144,46

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