Extensions 1→N→G→Q→1 with N=C3 and Q=Q8:2S3

Direct product G=NxQ with N=C3 and Q=Q8:2S3
dρLabelID
C3xQ8:2S3484C3xQ8:2S3144,82

Semidirect products G=N:Q with N=C3 and Q=Q8:2S3
extensionφ:Q→Aut NdρLabelID
C3:1(Q8:2S3) = C32:5SD16φ: Q8:2S3/C3:C8C2 ⊆ Aut C3244+C3:1(Q8:2S3)144,60
C3:2(Q8:2S3) = Dic6:S3φ: Q8:2S3/D12C2 ⊆ Aut C3484C3:2(Q8:2S3)144,58
C3:3(Q8:2S3) = C32:11SD16φ: Q8:2S3/C3xQ8C2 ⊆ Aut C372C3:3(Q8:2S3)144,98

Non-split extensions G=N.Q with N=C3 and Q=Q8:2S3
extensionφ:Q→Aut NdρLabelID
C3.(Q8:2S3) = Q8:2D9φ: Q8:2S3/C3xQ8C2 ⊆ Aut C3724+C3.(Q8:2S3)144,18

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