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

Direct product G=N×Q with N=C₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₈		24	2	S3xC8	48,4

Semidirect products G=N:Q with N=C₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁S₃ = D₂₄	φ: S₃/C₃ → C₂ ⊆ Aut C₈	24	2+	C8:1S3	48,7
C₈⋊₂S₃ = C₂₄⋊C₂	φ: S₃/C₃ → C₂ ⊆ Aut C₈	24	2	C8:2S3	48,6
C₈⋊₃S₃ = C₈⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₈	24	2	C8:3S3	48,5

Non-split extensions G=N.Q with N=C₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.S₃ = Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₈	48	2-	C8.S3	48,8
C₈.₂S₃ = C₃⋊C₁₆	central extension (φ=1)	48	2	C8.2S3	48,1

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