Extensions 1→N→G→Q→1 with N=C₄ and Q=D₅

Direct product G=N×Q with N=C₄ and Q=D₅

		d	ρ	Label	ID
C₄×D₅		20	2	C4xD5	40,5

Semidirect products G=N:Q with N=C₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊D₅ = D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄	20	2+	C4:D5	40,6

Non-split extensions G=N.Q with N=C₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.D₅ = Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄	40	2-	C4.D5	40,4
C₄.₂D₅ = C₅⋊₂C₈	central extension (φ=1)	40	2	C4.2D5	40,1

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Extensions 1→N→G→Q→1 with N=C4 and Q=D5