Extensions 1→N→G→Q→1 with N=C₂×Q₈ and Q=C₁₂

Direct product G=N×Q with N=C₂×Q₈ and Q=C₁₂

		d	ρ	Label	ID
Q₈×C₂×C₁₂		192		Q8xC2xC12	192,1405

Semidirect products G=N:Q with N=C₂×Q₈ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈)⋊C₁₂ = (C₂×Q₈)⋊C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Out C₂×Q₈	32		(C2xQ8):C12	192,998
(C₂×Q₈)⋊₂C₁₂ = C₃×C₂³.₃₁D₄	φ: C₁₂/C₃ → C₄ ⊆ Out C₂×Q₈	48		(C2xQ8):2C12	192,134
(C₂×Q₈)⋊₃C₁₂ = C₃×C₄²⋊₃C₄	φ: C₁₂/C₃ → C₄ ⊆ Out C₂×Q₈	48	4	(C2xQ8):3C12	192,160
(C₂×Q₈)⋊₄C₁₂ = C₂×C₄×SL₂(𝔽₃)	φ: C₁₂/C₄ → C₃ ⊆ Out C₂×Q₈	64		(C2xQ8):4C12	192,996
(C₂×Q₈)⋊₅C₁₂ = C₃×C₂³.₆₇C₂³	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Q₈	192		(C2xQ8):5C12	192,824
(C₂×Q₈)⋊₆C₁₂ = C₃×C₂³.C₂³	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Q₈	48	4	(C2xQ8):6C12	192,843
(C₂×Q₈)⋊₇C₁₂ = C₆×Q₈⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Q₈	192		(C2xQ8):7C12	192,848
(C₂×Q₈)⋊₈C₁₂ = C₃×C₂³.₃₈D₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Q₈	96		(C2xQ8):8C12	192,852
(C₂×Q₈)⋊₉C₁₂ = C₆×C₄≀C₂	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Q₈	48		(C2xQ8):9C12	192,853
(C₂×Q₈)⋊₁₀C₁₂ = C₃×C₄²⋊C₂²	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Q₈	48	4	(C2xQ8):10C12	192,854
(C₂×Q₈)⋊₁₁C₁₂ = C₃×C₂³.₃₂C₂³	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Q₈	96		(C2xQ8):11C12	192,1408

Non-split extensions G=N.Q with N=C₂×Q₈ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈).C₁₂ = M₄(2).A₄	φ: C₁₂/C₂ → C₆ ⊆ Out C₂×Q₈	32	4	(C2xQ8).C12	192,1013
(C₂×Q₈).₂C₁₂ = C₃×C₄².C₂²	φ: C₁₂/C₃ → C₄ ⊆ Out C₂×Q₈	96		(C2xQ8).2C12	192,135
(C₂×Q₈).₃C₁₂ = C₃×C₄.₆Q₁₆	φ: C₁₂/C₃ → C₄ ⊆ Out C₂×Q₈	192		(C2xQ8).3C12	192,139
(C₂×Q₈).₄C₁₂ = C₃×C₄².₃C₄	φ: C₁₂/C₃ → C₄ ⊆ Out C₂×Q₈	48	4	(C2xQ8).4C12	192,162
(C₂×Q₈).₅C₁₂ = C₈×SL₂(𝔽₃)	φ: C₁₂/C₄ → C₃ ⊆ Out C₂×Q₈	64		(C2xQ8).5C12	192,200
(C₂×Q₈).₆C₁₂ = C₂×C₈.A₄	φ: C₁₂/C₄ → C₃ ⊆ Out C₂×Q₈	64		(C2xQ8).6C12	192,1012
(C₂×Q₈).₇C₁₂ = C₃×Q₈⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Q₈	192		(C2xQ8).7C12	192,132
(C₂×Q₈).₈C₁₂ = C₃×(C₂²×C₈)⋊C₂	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Q₈	96		(C2xQ8).8C12	192,841
(C₂×Q₈).₉C₁₂ = C₆×C₄.₁₀D₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Q₈	96		(C2xQ8).9C12	192,845
(C₂×Q₈).₁₀C₁₂ = C₃×C₈⋊₄Q₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Q₈	192		(C2xQ8).10C12	192,879
(C₂×Q₈).₁₁C₁₂ = C₃×Q₈○M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Out C₂×Q₈	48	4	(C2xQ8).11C12	192,1457
(C₂×Q₈).₁₂C₁₂ = Q₈×C₂₄	φ: trivial image	192		(C2xQ8).12C12	192,878
(C₂×Q₈).₁₃C₁₂ = C₆×C₈○D₄	φ: trivial image	96		(C2xQ8).13C12	192,1456

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