Extensions 1→N→G→Q→1 with N=C₂₁ and Q=D₁₀

Direct product G=N×Q with N=C₂₁ and Q=D₁₀

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

Semidirect products G=N:Q with N=C₂₁ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁⋊₁D₁₀ = D₇×D₁₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₁	105	4+	C21:1D10	420,26
C₂₁⋊₂D₁₀ = S₃×D₃₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₁	105	4+	C21:2D10	420,29
C₂₁⋊₃D₁₀ = D₁₅⋊D₇	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₁	105	4	C21:3D10	420,30
C₂₁⋊₄D₁₀ = D₅×D₂₁	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₁	105	4+	C21:4D10	420,28
C₂₁⋊₅D₁₀ = C₃×D₅×D₇	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₁	105	4	C21:5D10	420,24
C₂₁⋊₆D₁₀ = S₃×C₇×D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₁	105	4	C21:6D10	420,27
C₂₁⋊₇D₁₀ = D₂₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₁	210	2+	C21:7D10	420,40
C₂₁⋊₈D₁₀ = C₆×D₃₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₁	210	2	C21:8D10	420,36
C₂₁⋊₉D₁₀ = C₁₄×D₁₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₁	210	2	C21:9D10	420,39

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