Extensions 1→N→G→Q→1 with N=D₅×C₂₁ and Q=C₂

Direct product G=N×Q with N=D₅×C₂₁ and Q=C₂

		d	ρ	Label	ID
D₅×C₄₂		210	2	D5xC42	420,35

Semidirect products G=N:Q with N=D₅×C₂₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂₁)⋊₁C₂ = D₅×D₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₁	105	4+	(D5xC21):1C2	420,28
(D₅×C₂₁)⋊₂C₂ = C₃×D₅×D₇	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₁	105	4	(D5xC21):2C2	420,24
(D₅×C₂₁)⋊₃C₂ = S₃×C₇×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₁	105	4	(D5xC21):3C2	420,27

Non-split extensions G=N.Q with N=D₅×C₂₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂₁).₁C₂ = C₅⋊Dic₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₁	105	4	(D5xC21).1C2	420,23
(D₅×C₂₁).₂C₂ = C₃×C₇⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₁	105	4	(D5xC21).2C2	420,21
(D₅×C₂₁).₃C₂ = C₇×C₃⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₁	105	4	(D5xC21).3C2	420,22
(D₅×C₂₁).₄C₂ = F₅×C₂₁	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₁	105	4	(D5xC21).4C2	420,20

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