Extensions 1→N→G→Q→1 with N=C3 and Q=C8xC3:S3

Direct product G=NxQ with N=C3 and Q=C8xC3:S3
dρLabelID
C3:S3xC24144C3:S3xC24432,480

Semidirect products G=N:Q with N=C3 and Q=C8xC3:S3
extensionφ:Q→Aut NdρLabelID
C3:1(C8xC3:S3) = C12.69S32φ: C8xC3:S3/C32:4C8C2 ⊆ Aut C372C3:1(C8xC3:S3)432,432
C3:2(C8xC3:S3) = C8xC33:C2φ: C8xC3:S3/C3xC24C2 ⊆ Aut C3216C3:2(C8xC3:S3)432,496
C3:3(C8xC3:S3) = C3:S3xC3:C8φ: C8xC3:S3/C4xC3:S3C2 ⊆ Aut C3144C3:3(C8xC3:S3)432,431

Non-split extensions G=N.Q with N=C3 and Q=C8xC3:S3
extensionφ:Q→Aut NdρLabelID
C3.(C8xC3:S3) = C8xC9:S3φ: C8xC3:S3/C3xC24C2 ⊆ Aut C3216C3.(C8xC3:S3)432,169
C3.2(C8xC3:S3) = C8xHe3:C2central stem extension (φ=1)723C3.2(C8xC3:S3)432,173

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