Extensions 1→N→G→Q→1 with N=C₁₀ and Q=D₂₁

Direct product G=N×Q with N=C₁₀ and Q=D₂₁

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

Semidirect products G=N:Q with N=C₁₀ and Q=D₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊D₂₁ = D₂₁₀	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₁₀	210	2+	C10:D21	420,40

Non-split extensions G=N.Q with N=C₁₀ and Q=D₂₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.D₂₁ = Dic₁₀₅	φ: D₂₁/C₂₁ → C₂ ⊆ Aut C₁₀	420	2-	C10.D21	420,11
C₁₀.₂D₂₁ = C₅×Dic₂₁	central extension (φ=1)	420	2	C10.2D21	420,9

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Extensions 1→N→G→Q→1 with N=C10 and Q=D21