Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄xD₅

Direct product G=NxQ with N=C₅ and Q=C₄xD₅

		d	ρ	Label	ID
D₅xC₂₀		40	2	D5xC20	200,28

Semidirect products G=N:Q with N=C₅ and Q=C₄xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:(C₄xD₅) = D₅xF₅	φ: C₄xD₅/D₅ → C₄ ⊆ Aut C₅	20	8+	C5:(C4xD5)	200,41
C₅:₂(C₄xD₅) = Dic₅:₂D₅	φ: C₄xD₅/Dic₅ → C₂ ⊆ Aut C₅	20	4+	C5:2(C4xD5)	200,23
C₅:₃(C₄xD₅) = C₄xC₅:D₅	φ: C₄xD₅/C₂₀ → C₂ ⊆ Aut C₅	100		C5:3(C4xD5)	200,33
C₅:₄(C₄xD₅) = D₅xDic₅	φ: C₄xD₅/D₁₀ → C₂ ⊆ Aut C₅	40	4-	C5:4(C4xD5)	200,22

Non-split extensions G=N.Q with N=C₅ and Q=C₄xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₄xD₅) = C₄xD₂₅	φ: C₄xD₅/C₂₀ → C₂ ⊆ Aut C₅	100	2	C5.(C4xD5)	200,5

׿

x

:

Z

F

o

wr

Q

<