Extensions 1→N→G→Q→1 with N=C₅×D₂₁ and Q=C₂

Direct product G=N×Q with N=C₅×D₂₁ and Q=C₂

		d	ρ	Label	ID
C₁₀×D₂₁		210	2	C10xD21	420,38

Semidirect products G=N:Q with N=C₅×D₂₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₂₁)⋊₁C₂ = D₅×D₂₁	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₁	105	4+	(C5xD21):1C2	420,28
(C₅×D₂₁)⋊₂C₂ = D₁₅⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₁	105	4	(C5xD21):2C2	420,30
(C₅×D₂₁)⋊₃C₂ = C₅×S₃×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₁	105	4	(C5xD21):3C2	420,25

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁