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

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

		d	ρ	Label	ID
C₄×He₅		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

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