Extensions 1→N→G→Q→1 with N=Q₈⋊₃S₃ and Q=C₆

Direct product G=N×Q with N=Q₈⋊₃S₃ and Q=C₆

		d	ρ	Label	ID
C₆×Q₈⋊₃S₃		96		C6xQ8:3S3	288,996

Semidirect products G=N:Q with N=Q₈⋊₃S₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₃S₃⋊C₆ = SL₂(𝔽₃).₁₁D₆	φ: C₆/C₁ → C₆ ⊆ Out Q₈⋊₃S₃	48	4	Q8:3S3:C6	288,923
Q₈⋊₃S₃⋊₂C₆ = C₂×Dic₃.A₄	φ: C₆/C₂ → C₃ ⊆ Out Q₈⋊₃S₃	96		Q8:3S3:2C6	288,921
Q₈⋊₃S₃⋊₃C₆ = S₃×C₄.A₄	φ: C₆/C₂ → C₃ ⊆ Out Q₈⋊₃S₃	48	4	Q8:3S3:3C6	288,925
Q₈⋊₃S₃⋊₄C₆ = C₃×Q₈⋊₃D₆	φ: C₆/C₃ → C₂ ⊆ Out Q₈⋊₃S₃	48	4	Q8:3S3:4C6	288,685
Q₈⋊₃S₃⋊₅C₆ = C₃×Q₈.₇D₆	φ: C₆/C₃ → C₂ ⊆ Out Q₈⋊₃S₃	48	4	Q8:3S3:5C6	288,687
Q₈⋊₃S₃⋊₆C₆ = C₃×D₂₄⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out Q₈⋊₃S₃	96	4	Q8:3S3:6C6	288,690
Q₈⋊₃S₃⋊₇C₆ = C₃×Q₈.₁₅D₆	φ: C₆/C₃ → C₂ ⊆ Out Q₈⋊₃S₃	48	4	Q8:3S3:7C6	288,997
Q₈⋊₃S₃⋊₈C₆ = C₃×D₄○D₁₂	φ: C₆/C₃ → C₂ ⊆ Out Q₈⋊₃S₃	48	4	Q8:3S3:8C6	288,999
Q₈⋊₃S₃⋊₉C₆ = C₃×S₃×C₄○D₄	φ: trivial image	48	4	Q8:3S3:9C6	288,998

Non-split extensions G=N.Q with N=Q₈⋊₃S₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₃S₃.C₆ = Dic₆.A₄	φ: C₆/C₁ → C₆ ⊆ Out Q₈⋊₃S₃	72	4+	Q8:3S3.C6	288,924
Q₈⋊₃S₃.₂C₆ = C₃×Q₁₆⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out Q₈⋊₃S₃	96	4	Q8:3S3.2C6	288,689

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