Extensions 1→N→G→Q→1 with N=D₅×D₈ and Q=C₂

Direct product G=N×Q with N=D₅×D₈ and Q=C₂

		d	ρ	Label	ID
C₂×D₅×D₈		80		C2xD5xD8	320,1426

Semidirect products G=N:Q with N=D₅×D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×D₈)⋊₁C₂ = D₅×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₅×D₈	40	8+	(D5xD8):1C2	320,1444
(D₅×D₈)⋊₂C₂ = D₈⋊₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×D₈	80	8+	(D5xD8):2C2	320,1446
(D₅×D₈)⋊₃C₂ = D₅×D₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×D₈	80	4+	(D5xD8):3C2	320,537
(D₅×D₈)⋊₄C₂ = D₁₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×D₈	80	4	(D5xD8):4C2	320,538
(D₅×D₈)⋊₅C₂ = C₁₆⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×D₈	80	4+	(D5xD8):5C2	320,541
(D₅×D₈)⋊₆C₂ = D₈⋊₁₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×D₈	80	4	(D5xD8):6C2	320,1429
(D₅×D₈)⋊₇C₂ = D₈⋊₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×D₈	80	4+	(D5xD8):7C2	320,1441
(D₅×D₈)⋊₈C₂ = D₅×C₄○D₈	φ: trivial image	80	4	(D5xD8):8C2	320,1439

Non-split extensions G=N.Q with N=D₅×D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×D₈).₁C₂ = D₅×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×D₈	80	4	(D5xD8).1C2	320,540
(D₅×D₈).₂C₂ = D₄₀.C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×D₈	80	8+	(D5xD8).2C2	320,244
(D₅×D₈).₃C₂ = D₄₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×D₈	40	8+	(D5xD8).3C2	320,1069
(D₅×D₈).₄C₂ = D₅.D₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×D₈	80	8+	(D5xD8).4C2	320,242
(D₅×D₈).₅C₂ = D₈×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×D₈	40	8+	(D5xD8).5C2	320,1068

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁