Extensions 1→N→G→Q→1 with N=C₃⋊S₃.Q₈ and Q=C₂

Direct product G=N×Q with N=C₃⋊S₃.Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₃⋊S₃.Q₈		48		C2xC3:S3.Q8	288,882

Semidirect products G=N:Q with N=C₃⋊S₃.Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃.Q₈⋊₁C₂ = S₃²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊S₃.Q₈	24	4	C3:S3.Q8:1C2	288,868
C₃⋊S₃.Q₈⋊₂C₂ = C₆².₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊S₃.Q₈	24	4	C3:S3.Q8:2C2	288,881
C₃⋊S₃.Q₈⋊₃C₂ = C₆²⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊S₃.Q₈	24	8+	C3:S3.Q8:3C2	288,890
C₃⋊S₃.Q₈⋊₄C₂ = C₄×S₃≀C₂	φ: trivial image	24	4	C3:S3.Q8:4C2	288,877

Non-split extensions G=N.Q with N=C₃⋊S₃.Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃.Q₈.₁C₂ = C₃²⋊C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊S₃.Q₈	48	8-	C3:S3.Q8.1C2	288,870
C₃⋊S₃.Q₈.₂C₂ = PSU₃(𝔽₂)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊S₃.Q₈	36	8	C3:S3.Q8.2C2	288,842
C₃⋊S₃.Q₈.₃C₂ = F₉⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃⋊S₃.Q₈	36	8	C3:S3.Q8.3C2	288,843

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