Extensions 1→N→G→Q→1 with N=C₂×Q₈ and Q=C₆

Direct product G=N×Q with N=C₂×Q₈ and Q=C₆

		d	ρ	Label	ID
Q₈×C₂×C₆		96		Q8xC2xC6	96,222

Semidirect products G=N:Q with N=C₂×Q₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈)⋊C₆ = D₄.A₄	φ: C₆/C₁ → C₆ ⊆ Out C₂×Q₈	16	4-	(C2xQ8):C6	96,202
(C₂×Q₈)⋊₂C₆ = C₂²×SL₂(𝔽₃)	φ: C₆/C₂ → C₃ ⊆ Out C₂×Q₈	32		(C2xQ8):2C6	96,198
(C₂×Q₈)⋊₃C₆ = C₃×C₂²⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂×Q₈	48		(C2xQ8):3C6	96,169
(C₂×Q₈)⋊₄C₆ = C₃×C₄.₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Q₈	48		(C2xQ8):4C6	96,171
(C₂×Q₈)⋊₅C₆ = C₆×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₂×Q₈	48		(C2xQ8):5C6	96,180
(C₂×Q₈)⋊₆C₆ = C₃×C₈.C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₂×Q₈	48	4	(C2xQ8):6C6	96,184
(C₂×Q₈)⋊₇C₆ = C₃×2_-¹⁺⁴	φ: C₆/C₃ → C₂ ⊆ Out C₂×Q₈	48	4	(C2xQ8):7C6	96,225
(C₂×Q₈)⋊₈C₆ = C₆×C₄○D₄	φ: trivial image	48		(C2xQ8):8C6	96,223

Non-split extensions G=N.Q with N=C₂×Q₈ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈).₁C₆ = C₄×SL₂(𝔽₃)	φ: C₆/C₂ → C₃ ⊆ Out C₂×Q₈	32		(C2xQ8).1C6	96,69
(C₂×Q₈).₂C₆ = C₂×C₄.A₄	φ: C₆/C₂ → C₃ ⊆ Out C₂×Q₈	32		(C2xQ8).2C6	96,200
(C₂×Q₈).₃C₆ = C₃×C₄.₁₀D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Q₈	48	4	(C2xQ8).3C6	96,51
(C₂×Q₈).₄C₆ = C₃×Q₈⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂×Q₈	96		(C2xQ8).4C6	96,53
(C₂×Q₈).₅C₆ = C₃×C₄⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂×Q₈	96		(C2xQ8).5C6	96,175
(C₂×Q₈).₆C₆ = C₆×Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₂×Q₈	96		(C2xQ8).6C6	96,181
(C₂×Q₈).₇C₆ = Q₈×C₁₂	φ: trivial image	96		(C2xQ8).7C6	96,166

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