Extensions 1→N→G→Q→1 with N=C₃⋊S₃ and Q=D₈

Direct product G=N×Q with N=C₃⋊S₃ and Q=D₈

		d	ρ	Label	ID
D₈×C₃⋊S₃		72		D8xC3:S3	288,767

Semidirect products G=N:Q with N=C₃⋊S₃ and Q=D₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊D₈ = C₃⋊S₃⋊D₈	φ: D₈/C₄ → C₂² ⊆ Out C₃⋊S₃	24	8+	C3:S3:D8	288,873
C₃⋊S₃⋊₂D₈ = C₂₄⋊₄D₆	φ: D₈/C₈ → C₂ ⊆ Out C₃⋊S₃	48	4	C3:S3:2D8	288,445
C₃⋊S₃⋊₃D₈ = D₁₂⋊D₆	φ: D₈/D₄ → C₂ ⊆ Out C₃⋊S₃	24	8+	C3:S3:3D8	288,574

Non-split extensions G=N.Q with N=C₃⋊S₃ and Q=D₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃.D₈ = C₂.AΓL₁(𝔽₉)	φ: D₈/C₂ → D₄ ⊆ Out C₃⋊S₃	24	8+	C3:S3.D8	288,841
C₃⋊S₃.₂D₈ = C₃⋊S₃.₂D₈	φ: D₈/C₄ → C₂² ⊆ Out C₃⋊S₃	24	4	C3:S3.2D8	288,377
C₃⋊S₃.₃D₈ = C₄.₂PSU₃(𝔽₂)	φ: D₈/C₄ → C₂² ⊆ Out C₃⋊S₃	48	8	C3:S3.3D8	288,394
C₃⋊S₃.₄D₈ = C₃⋊S₃.₄D₈	φ: D₈/C₈ → C₂ ⊆ Out C₃⋊S₃	48	4	C3:S3.4D8	288,417
C₃⋊S₃.₅D₈ = C₃⋊S₃.₅D₈	φ: D₈/D₄ → C₂ ⊆ Out C₃⋊S₃	24	8+	C3:S3.5D8	288,430

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