Extensions 1→N→G→Q→1 with N=C₂×C₈ and Q=C₁₀

Direct product G=N×Q with N=C₂×C₈ and Q=C₁₀

		d	ρ	Label	ID
C₂²×C₄₀		160		C2^2xC40	160,190

Semidirect products G=N:Q with N=C₂×C₈ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈)⋊₁C₁₀ = C₅×C₂²⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₈	80		(C2xC8):1C10	160,48
(C₂×C₈)⋊₂C₁₀ = C₅×D₄⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₈	80		(C2xC8):2C10	160,52
(C₂×C₈)⋊₃C₁₀ = C₁₀×D₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₈	80		(C2xC8):3C10	160,193
(C₂×C₈)⋊₄C₁₀ = C₅×C₄○D₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₈	80	2	(C2xC8):4C10	160,196
(C₂×C₈)⋊₅C₁₀ = C₁₀×SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₈	80		(C2xC8):5C10	160,194
(C₂×C₈)⋊₆C₁₀ = C₁₀×M₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₈	80		(C2xC8):6C10	160,191
(C₂×C₈)⋊₇C₁₀ = C₅×C₈○D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₈	80	2	(C2xC8):7C10	160,192

Non-split extensions G=N.Q with N=C₂×C₈ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈).₁C₁₀ = C₅×Q₈⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).1C10	160,53
(C₂×C₈).₂C₁₀ = C₅×C₄⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).2C10	160,55
(C₂×C₈).₃C₁₀ = C₅×C₂.D₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).3C10	160,57
(C₂×C₈).₄C₁₀ = C₁₀×Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).4C10	160,195
(C₂×C₈).₅C₁₀ = C₅×C₈.C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₈	80	2	(C2xC8).5C10	160,58
(C₂×C₈).₆C₁₀ = C₅×C₄.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).6C10	160,56
(C₂×C₈).₇C₁₀ = C₅×C₈⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₈	160		(C2xC8).7C10	160,47
(C₂×C₈).₈C₁₀ = C₅×M₅(2)	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₈	80	2	(C2xC8).8C10	160,60

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁