Extensions 1→N→G→Q→1 with N=D₆ and Q=C₃×Q₈

Direct product G=N×Q with N=D₆ and Q=C₃×Q₈

		d	ρ	Label	ID
S₃×C₆×Q₈		96		S3xC6xQ8	288,995

Semidirect products G=N:Q with N=D₆ and Q=C₃×Q₈

extension	φ:Q→Out N	d	Label	ID
D₆⋊₁(C₃×Q₈) = C₃×D₆⋊Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out D₆	96	D6:1(C3xQ8)	288,667
D₆⋊₂(C₃×Q₈) = C₃×C₄.D₁₂	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out D₆	96	D6:2(C3xQ8)	288,668
D₆⋊₃(C₃×Q₈) = C₃×D₆⋊₃Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Out D₆	96	D6:3(C3xQ8)	288,717

Non-split extensions G=N.Q with N=D₆ and Q=C₃×Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.(C₃×Q₈) = C₃×S₃×C₄⋊C₄	φ: trivial image	96		D6.(C3xQ8)	288,662

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D6 and Q=C3×Q8