Extensions 1→N→G→Q→1 with N=Q₈⋊Dic₃ and Q=C₂

Direct product G=N×Q with N=Q₈⋊Dic₃ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈⋊Dic₃		64		C2xQ8:Dic3	192,977

Semidirect products G=N:Q with N=Q₈⋊Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊Dic₃⋊₁C₂ = C₂³.₁₄S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₃	32		Q8:Dic3:1C2	192,978
Q₈⋊Dic₃⋊₂C₂ = SL₂(𝔽₃)⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₃	32		Q8:Dic3:2C2	192,986
Q₈⋊Dic₃⋊₃C₂ = C₂³.₁₆S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₃	32		Q8:Dic3:3C2	192,980
Q₈⋊Dic₃⋊₄C₂ = SL₂(𝔽₃).D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₃	64		Q8:Dic3:4C2	192,984
Q₈⋊Dic₃⋊₅C₂ = GL₂(𝔽₃)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₃	32		Q8:Dic3:5C2	192,953
Q₈⋊Dic₃⋊₆C₂ = C₂³.₁₅S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₃	32		Q8:Dic3:6C2	192,979
Q₈⋊Dic₃⋊₇C₂ = (C₂×C₄).S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₃	64		Q8:Dic3:7C2	192,985
Q₈⋊Dic₃⋊₈C₂ = C₄×GL₂(𝔽₃)	φ: trivial image	32		Q8:Dic3:8C2	192,951
Q₈⋊Dic₃⋊₉C₂ = C₄.A₄⋊C₄	φ: trivial image	64		Q8:Dic3:9C2	192,983

Non-split extensions G=N.Q with N=Q₈⋊Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊Dic₃.₁C₂ = Q₈.Dic₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₃	64		Q8:Dic3.1C2	192,948
Q₈⋊Dic₃.₂C₂ = SL₂(𝔽₃)⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₃	64		Q8:Dic3.2C2	192,950
Q₈⋊Dic₃.₃C₂ = Q₈⋊Dic₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₃	64		Q8:Dic3.3C2	192,945
Q₈⋊Dic₃.₄C₂ = CSU₂(𝔽₃)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊Dic₃	64		Q8:Dic3.4C2	192,947
Q₈⋊Dic₃.₅C₂ = C₄×CSU₂(𝔽₃)	φ: trivial image	64		Q8:Dic3.5C2	192,946

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