Extensions 1→N→G→Q→1 with N=C₅×C₄≀C₂ and Q=C₂

Direct product G=N×Q with N=C₅×C₄≀C₂ and Q=C₂

		d	ρ	Label	ID
C₁₀×C₄≀C₂		80		C10xC4wrC2	320,921

Semidirect products G=N:Q with N=C₅×C₄≀C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₄≀C₂)⋊₁C₂ = D₄⋊₄D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄≀C₂	40	4+	(C5xC4wrC2):1C2	320,449
(C₅×C₄≀C₂)⋊₂C₂ = M₄(2)⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄≀C₂	80	4	(C5xC4wrC2):2C2	320,452
(C₅×C₄≀C₂)⋊₃C₂ = D₄.₉D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄≀C₂	80	4-	(C5xC4wrC2):3C2	320,453
(C₅×C₄≀C₂)⋊₄C₂ = D₄.₁₀D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄≀C₂	80	4	(C5xC4wrC2):4C2	320,454
(C₅×C₄≀C₂)⋊₅C₂ = D₅×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄≀C₂	40	4	(C5xC4wrC2):5C2	320,447
(C₅×C₄≀C₂)⋊₆C₂ = C₄²⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄≀C₂	80	4	(C5xC4wrC2):6C2	320,448
(C₅×C₄≀C₂)⋊₇C₂ = M₄(2).₂₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄≀C₂	80	4	(C5xC4wrC2):7C2	320,450
(C₅×C₄≀C₂)⋊₈C₂ = C₄².₁₉₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄≀C₂	80	4	(C5xC4wrC2):8C2	320,451
(C₅×C₄≀C₂)⋊₉C₂ = C₅×D₄⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄≀C₂	40	4	(C5xC4wrC2):9C2	320,954
(C₅×C₄≀C₂)⋊₁₀C₂ = C₅×D₄.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄≀C₂	80	4	(C5xC4wrC2):10C2	320,955
(C₅×C₄≀C₂)⋊₁₁C₂ = C₅×D₄.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄≀C₂	80	4	(C5xC4wrC2):11C2	320,956
(C₅×C₄≀C₂)⋊₁₂C₂ = C₅×D₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄≀C₂	80	4	(C5xC4wrC2):12C2	320,957
(C₅×C₄≀C₂)⋊₁₃C₂ = C₅×C₄²⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄≀C₂	80	4	(C5xC4wrC2):13C2	320,922
(C₅×C₄≀C₂)⋊₁₄C₂ = C₅×C₈.₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄≀C₂	80	4	(C5xC4wrC2):14C2	320,945
(C₅×C₄≀C₂)⋊₁₅C₂ = C₅×C₈○D₈	φ: trivial image	80	2	(C5xC4wrC2):15C2	320,944

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁