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

Direct product G=N×Q with N=C8 and Q=C3⋊S3
dρLabelID
C8×C3⋊S372C8xC3:S3144,85

Semidirect products G=N:Q with N=C8 and Q=C3⋊S3
extensionφ:Q→Aut NdρLabelID
C81(C3⋊S3) = C325D8φ: C3⋊S3/C32C2 ⊆ Aut C872C8:1(C3:S3)144,88
C82(C3⋊S3) = C242S3φ: C3⋊S3/C32C2 ⊆ Aut C872C8:2(C3:S3)144,87
C83(C3⋊S3) = C24⋊S3φ: C3⋊S3/C32C2 ⊆ Aut C872C8:3(C3:S3)144,86

Non-split extensions G=N.Q with N=C8 and Q=C3⋊S3
extensionφ:Q→Aut NdρLabelID
C8.(C3⋊S3) = C325Q16φ: C3⋊S3/C32C2 ⊆ Aut C8144C8.(C3:S3)144,89
C8.2(C3⋊S3) = C24.S3central extension (φ=1)144C8.2(C3:S3)144,29

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