Extensions 1→N→G→Q→1 with N=C₃×Q₈ and Q=C₁₂

Direct product G=N×Q with N=C₃×Q₈ and Q=C₁₂

		d	ρ	Label	ID
Q₈×C₃×C₁₂		288		Q8xC3xC12	288,816

Semidirect products G=N:Q with N=C₃×Q₈ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊C₁₂ = Dic₃×SL₂(𝔽₃)	φ: C₁₂/C₂ → C₆ ⊆ Out C₃×Q₈	96		(C3xQ8):C12	288,409
(C₃×Q₈)⋊₂C₁₂ = C₁₂×SL₂(𝔽₃)	φ: C₁₂/C₄ → C₃ ⊆ Out C₃×Q₈	96		(C3xQ8):2C12	288,633
(C₃×Q₈)⋊₃C₁₂ = C₃×Q₈⋊₂Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×Q₈	96		(C3xQ8):3C12	288,269
(C₃×Q₈)⋊₄C₁₂ = C₃×Q₈⋊₃Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×Q₈	48	4	(C3xQ8):4C12	288,271
(C₃×Q₈)⋊₅C₁₂ = C₃×Q₈×Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×Q₈	96		(C3xQ8):5C12	288,716
(C₃×Q₈)⋊₆C₁₂ = C₃²×Q₈⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×Q₈	288		(C3xQ8):6C12	288,321
(C₃×Q₈)⋊₇C₁₂ = C₃²×C₄≀C₂	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×Q₈	72		(C3xQ8):7C12	288,322

Non-split extensions G=N.Q with N=C₃×Q₈ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).C₁₂ = SL₂(𝔽₃).Dic₃	φ: C₁₂/C₂ → C₆ ⊆ Out C₃×Q₈	96	4	(C3xQ8).C12	288,410
(C₃×Q₈).₂C₁₂ = C₄×Q₈⋊C₉	φ: C₁₂/C₄ → C₃ ⊆ Out C₃×Q₈	288		(C3xQ8).2C12	288,72
(C₃×Q₈).₃C₁₂ = Q₈.C₃₆	φ: C₁₂/C₄ → C₃ ⊆ Out C₃×Q₈	144	2	(C3xQ8).3C12	288,77
(C₃×Q₈).₄C₁₂ = C₃×C₈.A₄	φ: C₁₂/C₄ → C₃ ⊆ Out C₃×Q₈	96	2	(C3xQ8).4C12	288,638
(C₃×Q₈).₅C₁₂ = C₃×D₄.Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×Q₈	48	4	(C3xQ8).5C12	288,719
(C₃×Q₈).₆C₁₂ = C₉×Q₈⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×Q₈	288		(C3xQ8).6C12	288,53
(C₃×Q₈).₇C₁₂ = C₉×C₄≀C₂	φ: C₁₂/C₆ → C₂ ⊆ Out C₃×Q₈	72	2	(C3xQ8).7C12	288,54
(C₃×Q₈).₈C₁₂ = Q₈×C₃₆	φ: trivial image	288		(C3xQ8).8C12	288,169
(C₃×Q₈).₉C₁₂ = C₉×C₈○D₄	φ: trivial image	144	2	(C3xQ8).9C12	288,181
(C₃×Q₈).₁₀C₁₂ = C₃²×C₈○D₄	φ: trivial image	144		(C3xQ8).10C12	288,828

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁