Extensions 1→N→G→Q→1 with N=C₂×Q₈ and Q=C₁₀

Direct product G=N×Q with N=C₂×Q₈ and Q=C₁₀

		d	ρ	Label	ID
Q₈×C₂×C₁₀		160		Q8xC2xC10	160,230

Semidirect products G=N:Q with N=C₂×Q₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈)⋊₁C₁₀ = C₅×C₂²⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₈	80		(C2xQ8):1C10	160,183
(C₂×Q₈)⋊₂C₁₀ = C₅×C₄.₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₈	80		(C2xQ8):2C10	160,185
(C₂×Q₈)⋊₃C₁₀ = C₁₀×SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₈	80		(C2xQ8):3C10	160,194
(C₂×Q₈)⋊₄C₁₀ = C₅×C₈.C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₈	80	4	(C2xQ8):4C10	160,198
(C₂×Q₈)⋊₅C₁₀ = C₅×2_-¹⁺⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₈	80	4	(C2xQ8):5C10	160,233
(C₂×Q₈)⋊₆C₁₀ = C₁₀×C₄○D₄	φ: trivial image	80		(C2xQ8):6C10	160,231

Non-split extensions G=N.Q with N=C₂×Q₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Q₈).₁C₁₀ = C₅×C₄.₁₀D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₈	80	4	(C2xQ8).1C10	160,51
(C₂×Q₈).₂C₁₀ = C₅×Q₈⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₈	160		(C2xQ8).2C10	160,53
(C₂×Q₈).₃C₁₀ = C₅×C₄⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₈	160		(C2xQ8).3C10	160,189
(C₂×Q₈).₄C₁₀ = C₁₀×Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂×Q₈	160		(C2xQ8).4C10	160,195
(C₂×Q₈).₅C₁₀ = Q₈×C₂₀	φ: trivial image	160		(C2xQ8).5C10	160,180

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