Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄.D₅

Direct product G=N×Q with N=C₅ and Q=D₄.D₅

		d	ρ	Label	ID
C₅×D₄.D₅		40	4	C5xD4.D5	400,88

Semidirect products G=N:Q with N=C₅ and Q=D₄.D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄.D₅) = C₅²⋊₃SD₁₆	φ: D₄.D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₅	80	4-	C5:1(D4.D5)	400,67
C₅⋊₂(D₄.D₅) = D₂₀.D₅	φ: D₄.D₅/Dic₁₀ → C₂ ⊆ Aut C₅	80	4	C5:2(D4.D5)	400,66
C₅⋊₃(D₄.D₅) = C₅²⋊₈SD₁₆	φ: D₄.D₅/C₅×D₄ → C₂ ⊆ Aut C₅	200		C5:3(D4.D5)	400,104

Non-split extensions G=N.Q with N=C₅ and Q=D₄.D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(D₄.D₅) = D₄.D₂₅	φ: D₄.D₅/C₅×D₄ → C₂ ⊆ Aut C₅	200	4-	C5.(D4.D5)	400,15

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Extensions 1→N→G→Q→1 with N=C5 and Q=D4.D5