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
Q₈×C₃⋊Dic₃		288		Q8xC3:Dic3	288,802

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

extension	φ:Q→Out N	d	Label	ID
Q₈⋊(C₃⋊Dic₃) = C₆.GL₂(𝔽₃)	φ: C₃⋊Dic₃/C₆ → S₃ ⊆ Out Q₈	96	Q8:(C3:Dic3)	288,403
Q₈⋊₂(C₃⋊Dic₃) = C₆².₁₁₇D₄	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Out Q₈	288	Q8:2(C3:Dic3)	288,310
Q₈⋊₃(C₃⋊Dic₃) = C₆².₃₉D₄	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Out Q₈	72	Q8:3(C3:Dic3)	288,312

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	4	Q8.(C3:Dic3)	288,404
Q₈.₂(C₃⋊Dic₃) = D₄.(C₃⋊Dic₃)	φ: trivial image	144		Q8.2(C3:Dic3)	288,805

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