Extensions 1→N→G→Q→1 with N=C₃xDic₃ and Q=Q₈

Direct product G=NxQ with N=C₃xDic₃ and Q=Q₈

		d	ρ	Label	ID
C₃xQ₈xDic₃		96		C3xQ8xDic3	288,716

Semidirect products G=N:Q with N=C₃xDic₃ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xDic₃):₁Q₈ = C₆².₉C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₃xDic₃	96		(C3xDic3):1Q8	288,487
(C₃xDic₃):₂Q₈ = C₆².₁₀C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₃xDic₃	96		(C3xDic3):2Q8	288,488
(C₃xDic₃):₃Q₈ = Dic₃:Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃xDic₃	96		(C3xDic3):3Q8	288,514
(C₃xDic₃):₄Q₈ = C₁₂:₃Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃xDic₃	96		(C3xDic3):4Q8	288,566
(C₃xDic₃):₅Q₈ = Dic₃:₅Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃xDic₃	96		(C3xDic3):5Q8	288,485
(C₃xDic₃):₆Q₈ = Dic₃xDic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃xDic₃	96		(C3xDic3):6Q8	288,490
(C₃xDic₃):₇Q₈ = Dic₃:₆Dic₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃xDic₃	96		(C3xDic3):7Q8	288,492
(C₃xDic₃):₈Q₈ = C₃xC₁₂:Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₃xDic₃	96		(C3xDic3):8Q8	288,659
(C₃xDic₃):₉Q₈ = C₃xDic₃:Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₃xDic₃	96		(C3xDic3):9Q8	288,715
(C₃xDic₃):₁₀Q₈ = C₃xDic₆:C₄	φ: trivial image	96		(C3xDic3):10Q8	288,658

Non-split extensions G=N.Q with N=C₃xDic₃ and Q=Q₈

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

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