Extensions 1→N→G→Q→1 with N=C₄.F₅ and Q=C₄

Direct product G=N×Q with N=C₄.F₅ and Q=C₄

		d	ρ	Label	ID
C₄×C₄.F₅		160		C4xC4.F5	320,1015

Semidirect products G=N:Q with N=C₄.F₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.F₅⋊₁C₄ = C₂₀.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₄.F₅	80		C4.F5:1C4	320,213
C₄.F₅⋊₂C₄ = D₁₀.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₄.F₅	160		C4.F5:2C4	320,1039
C₄.F₅⋊₃C₄ = M₄(2)×F₅	φ: C₄/C₂ → C₂ ⊆ Out C₄.F₅	40	8	C4.F5:3C4	320,1064
C₄.F₅⋊₄C₄ = C₄²⋊₆F₅	φ: C₄/C₂ → C₂ ⊆ Out C₄.F₅	40	4	C4.F5:4C4	320,200
C₄.F₅⋊₅C₄ = C₂₀.₁₂C₄²	φ: trivial image	80	4	C4.F5:5C4	320,1056

Non-split extensions G=N.Q with N=C₄.F₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.F₅.₁C₄ = M₄(2).F₅	φ: C₄/C₂ → C₂ ⊆ Out C₄.F₅	80	8	C4.F5.1C4	320,239
C₄.F₅.₂C₄ = C₂₀.₁₀C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₄.F₅	160		C4.F5.2C4	320,234

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