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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊₁Dic₃ = C₆.GL₂(𝔽₃)	φ: Dic₃/C₂ → S₃ ⊆ Out C₃×Q₈	96		(C3xQ8):1Dic3	288,403
(C₃×Q₈)⋊₂Dic₃ = C₃×Q₈⋊Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Out C₃×Q₈	96		(C3xQ8):2Dic3	288,399
(C₃×Q₈)⋊₃Dic₃ = C₆².₁₁₇D₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Q₈	288		(C3xQ8):3Dic3	288,310
(C₃×Q₈)⋊₄Dic₃ = C₆².₃₉D₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Q₈	72		(C3xQ8):4Dic3	288,312
(C₃×Q₈)⋊₅Dic₃ = Q₈×C₃⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Q₈	288		(C3xQ8):5Dic3	288,802
(C₃×Q₈)⋊₆Dic₃ = C₃×Q₈⋊₂Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Q₈	96		(C3xQ8):6Dic3	288,269
(C₃×Q₈)⋊₇Dic₃ = C₃×Q₈⋊₃Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Q₈	48	4	(C3xQ8):7Dic3	288,271

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).₁Dic₃ = Q₈⋊Dic₉	φ: Dic₃/C₂ → S₃ ⊆ Out C₃×Q₈	288		(C3xQ8).1Dic3	288,69
(C₃×Q₈).₂Dic₃ = C₁₂.₉S₄	φ: Dic₃/C₂ → S₃ ⊆ Out C₃×Q₈	72	4	(C3xQ8).2Dic3	288,70
(C₃×Q₈).₃Dic₃ = C₃⋊U₂(𝔽₃)	φ: Dic₃/C₂ → S₃ ⊆ Out C₃×Q₈	72	4	(C3xQ8).3Dic3	288,404
(C₃×Q₈).₄Dic₃ = C₃×U₂(𝔽₃)	φ: Dic₃/C₂ → S₃ ⊆ Out C₃×Q₈	72	2	(C3xQ8).4Dic3	288,400
(C₃×Q₈).₅Dic₃ = Q₈⋊₂Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Q₈	288		(C3xQ8).5Dic3	288,43
(C₃×Q₈).₆Dic₃ = Q₈⋊₃Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Q₈	72	4	(C3xQ8).6Dic3	288,44
(C₃×Q₈).₇Dic₃ = Q₈×Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Q₈	288		(C3xQ8).7Dic3	288,155
(C₃×Q₈).₈Dic₃ = D₄.Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Q₈	144	4	(C3xQ8).8Dic3	288,158
(C₃×Q₈).₉Dic₃ = D₄.(C₃⋊Dic₃)	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Q₈	144		(C3xQ8).9Dic3	288,805
(C₃×Q₈).₁₀Dic₃ = C₃×D₄.Dic₃	φ: trivial image	48	4	(C3xQ8).10Dic3	288,719

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