Extensions 1→N→G→Q→1 with N=He₅⋊C₂ and Q=C₂

Direct product G=N×Q with N=He₅⋊C₂ and Q=C₂

		d	ρ	Label	ID
C₂×He₅⋊C₂		50	5	C2xHe5:C2	500,33

Semidirect products G=N:Q with N=He₅⋊C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₅⋊C₂⋊C₂ = C₅²⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out He₅⋊C₂	25	10+	He5:C2:C2	500,27

Non-split extensions G=N.Q with N=He₅⋊C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₅⋊C₂.₁C₂ = He₅⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out He₅⋊C₂	25	5	He5:C2.1C2	500,25
He₅⋊C₂.₂C₂ = C₅²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out He₅⋊C₂	25	10+	He5:C2.2C2	500,23

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Extensions 1→N→G→Q→1 with N=He5⋊C2 and Q=C2