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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(C₃×Dic₃) = C₃×Q₈⋊Dic₃	φ: C₃×Dic₃/C₆ → S₃ ⊆ Out Q₈	96		Q8:(C3xDic3)	288,399
Q₈⋊₂(C₃×Dic₃) = Dic₃×SL₂(𝔽₃)	φ: C₃×Dic₃/Dic₃ → C₃ ⊆ Out Q₈	96		Q8:2(C3xDic3)	288,409
Q₈⋊₃(C₃×Dic₃) = C₃×Q₈⋊₂Dic₃	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Out Q₈	96		Q8:3(C3xDic3)	288,269
Q₈⋊₄(C₃×Dic₃) = C₃×Q₈⋊₃Dic₃	φ: C₃×Dic₃/C₃×C₆ → C₂ ⊆ Out Q₈	48	4	Q8:4(C3xDic3)	288,271

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₃×Dic₃) = C₃×U₂(𝔽₃)	φ: C₃×Dic₃/C₆ → S₃ ⊆ Out Q₈	72	2	Q8.(C3xDic3)	288,400
Q₈.₂(C₃×Dic₃) = SL₂(𝔽₃).Dic₃	φ: C₃×Dic₃/Dic₃ → C₃ ⊆ Out Q₈	96	4	Q8.2(C3xDic3)	288,410
Q₈.₃(C₃×Dic₃) = C₃×D₄.Dic₃	φ: trivial image	48	4	Q8.3(C3xDic3)	288,719

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