Extensions 1→N→G→Q→1 with N=C8 and Q=C3×C3⋊S3

Direct product G=N×Q with N=C8 and Q=C3×C3⋊S3
dρLabelID
C3⋊S3×C24144C3:S3xC24432,480

Semidirect products G=N:Q with N=C8 and Q=C3×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C81(C3×C3⋊S3) = C3×C325D8φ: C3×C3⋊S3/C33C2 ⊆ Aut C8144C8:1(C3xC3:S3)432,483
C82(C3×C3⋊S3) = C3×C242S3φ: C3×C3⋊S3/C33C2 ⊆ Aut C8144C8:2(C3xC3:S3)432,482
C83(C3×C3⋊S3) = C3×C24⋊S3φ: C3×C3⋊S3/C33C2 ⊆ Aut C8144C8:3(C3xC3:S3)432,481

Non-split extensions G=N.Q with N=C8 and Q=C3×C3⋊S3
extensionφ:Q→Aut NdρLabelID
C8.(C3×C3⋊S3) = C3×C325Q16φ: C3×C3⋊S3/C33C2 ⊆ Aut C8144C8.(C3xC3:S3)432,484
C8.2(C3×C3⋊S3) = C3×C24.S3central extension (φ=1)144C8.2(C3xC3:S3)432,230

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