Extensions 1→N→G→Q→1 with N=C₃×Dic₃ and Q=Q₈

Direct product G=N×Q with N=C₃×Dic₃ and Q=Q₈

		d	ρ	Label	ID
C₃×Q₈×Dic₃		96		C3xQ8xDic3	288,716

Semidirect products G=N:Q with N=C₃×Dic₃ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₃)⋊₁Q₈ = C₆².₉C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₃×Dic₃	96		(C3xDic3):1Q8	288,487
(C₃×Dic₃)⋊₂Q₈ = C₆².₁₀C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₃×Dic₃	96		(C3xDic3):2Q8	288,488
(C₃×Dic₃)⋊₃Q₈ = Dic₃⋊Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃×Dic₃	96		(C3xDic3):3Q8	288,514
(C₃×Dic₃)⋊₄Q₈ = C₁₂⋊₃Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃×Dic₃	96		(C3xDic3):4Q8	288,566
(C₃×Dic₃)⋊₅Q₈ = Dic₃⋊₅Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃×Dic₃	96		(C3xDic3):5Q8	288,485
(C₃×Dic₃)⋊₆Q₈ = Dic₃×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃×Dic₃	96		(C3xDic3):6Q8	288,490
(C₃×Dic₃)⋊₇Q₈ = Dic₃⋊₆Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃×Dic₃	96		(C3xDic3):7Q8	288,492
(C₃×Dic₃)⋊₈Q₈ = C₃×C₁₂⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₃×Dic₃	96		(C3xDic3):8Q8	288,659
(C₃×Dic₃)⋊₉Q₈ = C₃×Dic₃⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₃×Dic₃	96		(C3xDic3):9Q8	288,715
(C₃×Dic₃)⋊₁₀Q₈ = C₃×Dic₆⋊C₄	φ: trivial image	96		(C3xDic3):10Q8	288,658

Non-split extensions G=N.Q with N=C₃×Dic₃ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₃).₁Q₈ = Dic₃.Dic₆	φ: Q₈/C₂ → C₂² ⊆ Out C₃×Dic₃	96		(C3xDic3).1Q8	288,493
(C₃×Dic₃).₂Q₈ = C₆².₁₆C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₃×Dic₃	96		(C3xDic3).2Q8	288,494
(C₃×Dic₃).₃Q₈ = C₆².₃₇C₂³	φ: Q₈/C₄ → C₂ ⊆ Out C₃×Dic₃	96		(C3xDic3).3Q8	288,515
(C₃×Dic₃).₄Q₈ = C₃×Dic₃.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₃×Dic₃	96		(C3xDic3).4Q8	288,660

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁