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

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

		d	ρ	Label	ID
C₂×S₃×Q₈		48		C2xS3xQ8	96,212

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

extension	φ:Q→Out N	d	Label	ID
D₆⋊₁Q₈ = D₆⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₆	48	D6:1Q8	96,103
D₆⋊₂Q₈ = C₄.D₁₂	φ: Q₈/C₄ → C₂ ⊆ Out D₆	48	D6:2Q8	96,104
D₆⋊₃Q₈ = D₆⋊₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out D₆	48	D6:3Q8	96,153

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.Q₈ = S₃×C₄⋊C₄	φ: trivial image	48		D6.Q8	96,98

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