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		80		C4xC4:F5	320,1025

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊F₅⋊₁C₄ = D₁₀.₁₈D₈	φ: C₄/C₂ → C₂ ⊆ Out C₄⋊F₅	80		C4:F5:1C4	320,212
C₄⋊F₅⋊₂C₄ = M₄(2)⋊₃F₅	φ: C₄/C₂ → C₂ ⊆ Out C₄⋊F₅	40	8	C4:F5:2C4	320,238
C₄⋊F₅⋊₃C₄ = C₄⋊C₄×F₅	φ: C₄/C₂ → C₂ ⊆ Out C₄⋊F₅	80		C4:F5:3C4	320,1048
C₄⋊F₅⋊₄C₄ = C₄²⋊₆F₅	φ: C₄/C₂ → C₂ ⊆ Out C₄⋊F₅	40	4	C4:F5:4C4	320,200
C₄⋊F₅⋊₅C₄ = D₁₀.₁₀D₈	φ: C₄/C₂ → C₂ ⊆ Out C₄⋊F₅	80		C4:F5:5C4	320,231

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊F₅.C₄ = M₄(2)⋊₅F₅	φ: C₄/C₂ → C₂ ⊆ Out C₄⋊F₅	80	8	C4:F5.C4	320,1066
C₄⋊F₅.₂C₄ = C₂₀.₁₂C₄²	φ: trivial image	80	4	C4:F5.2C4	320,1056

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