Extensions 1→N→G→Q→1 with N=He₅ and Q=C₄

Direct product G=NxQ with N=He₅ and Q=C₄

		d	ρ	Label	ID
C₄xHe₅		100	5	C4xHe5	500,13

Semidirect products G=N:Q with N=He₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
He₅:₁C₄ = C₅²:C₂₀	φ: C₄/C₁ → C₄ ⊆ Out He₅	25	20+	He5:1C4	500,17
He₅:₂C₄ = He₅:C₄	φ: C₄/C₁ → C₄ ⊆ Out He₅	25	20+	He5:2C4	500,21
He₅:₃C₄ = C₅²:F₅	φ: C₄/C₁ → C₄ ⊆ Out He₅	25	10+	He5:3C4	500,23
He₅:₄C₄ = He₅:₄C₄	φ: C₄/C₁ → C₄ ⊆ Out He₅	25	5	He5:4C4	500,25
He₅:₅C₄ = He₅:₅C₄	φ: C₄/C₂ → C₂ ⊆ Out He₅	100	10-	He5:5C4	500,8
He₅:₆C₄ = He₅:₆C₄	φ: C₄/C₂ → C₂ ⊆ Out He₅	100	5	He5:6C4	500,11

׿

x

:

Z

F

o

wr

Q

<