Extensions 1→N→G→Q→1 with N=C₂×SL₂(𝔽₃) and Q=C₄

Direct product G=N×Q with N=C₂×SL₂(𝔽₃) and Q=C₄

		d	ρ	Label	ID
C₂×C₄×SL₂(𝔽₃)		64		C2xC4xSL(2,3)	192,996

Semidirect products G=N:Q with N=C₂×SL₂(𝔽₃) and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×SL₂(𝔽₃))⋊₁C₄ = (C₂×Q₈)⋊C₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	32		(C2xSL(2,3)):1C4	192,998
(C₂×SL₂(𝔽₃))⋊₂C₄ = C₂×Q₈⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	64		(C2xSL(2,3)):2C4	192,977
(C₂×SL₂(𝔽₃))⋊₃C₄ = C₂³.₁₅S₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	32		(C2xSL(2,3)):3C4	192,979
(C₂×SL₂(𝔽₃))⋊₄C₄ = C₂×U₂(𝔽₃)	φ: C₄/C₂ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	48		(C2xSL(2,3)):4C4	192,981
(C₂×SL₂(𝔽₃))⋊₅C₄ = U₂(𝔽₃)⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	32	4	(C2xSL(2,3)):5C4	192,982

Non-split extensions G=N.Q with N=C₂×SL₂(𝔽₃) and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×SL₂(𝔽₃)).₁C₄ = M₄(2).A₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	32	4	(C2xSL(2,3)).1C4	192,1013
(C₂×SL₂(𝔽₃)).₂C₄ = C₂.U₂(𝔽₃)	φ: C₄/C₂ → C₂ ⊆ Out C₂×SL₂(𝔽₃)	64		(C2xSL(2,3)).2C4	192,183
(C₂×SL₂(𝔽₃)).₃C₄ = C₈×SL₂(𝔽₃)	φ: trivial image	64		(C2xSL(2,3)).3C4	192,200
(C₂×SL₂(𝔽₃)).₄C₄ = C₂×C₈.A₄	φ: trivial image	64		(C2xSL(2,3)).4C4	192,1012

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