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

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

		d	ρ	Label	ID
C₄⋊C₄×F₅		80		C4:C4xF5	320,1048

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄⋊₁F₅ = D₁₀.₁D₈	φ: F₅/C₅ → C₄ ⊆ Out C₄⋊C₄	80		C4:C4:1F5	320,206
C₄⋊C₄⋊₂F₅ = D₁₀.₁Q₁₆	φ: F₅/C₅ → C₄ ⊆ Out C₄⋊C₄	80		C4:C4:2F5	320,207
C₄⋊C₄⋊₃F₅ = D₁₀.₁₈D₈	φ: F₅/D₅ → C₂ ⊆ Out C₄⋊C₄	80		C4:C4:3F5	320,212
C₄⋊C₄⋊₄F₅ = C₂₀.C₄²	φ: F₅/D₅ → C₂ ⊆ Out C₄⋊C₄	80		C4:C4:4F5	320,213
C₄⋊C₄⋊₅F₅ = C₄⋊C₄⋊₅F₅	φ: F₅/D₅ → C₂ ⊆ Out C₄⋊C₄	80		C4:C4:5F5	320,1049
C₄⋊C₄⋊₆F₅ = C₂₀⋊(C₄⋊C₄)	φ: F₅/D₅ → C₂ ⊆ Out C₄⋊C₄	80		C4:C4:6F5	320,1050

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄.₁F₅ = C₁₀.C₄≀C₂	φ: F₅/C₅ → C₄ ⊆ Out C₄⋊C₄	320		C4:C4.1F5	320,208
C₄⋊C₄.₂F₅ = Dic₅.D₈	φ: F₅/C₅ → C₄ ⊆ Out C₄⋊C₄	320		C4:C4.2F5	320,211
C₄⋊C₄.₃F₅ = D₂₀⋊C₈	φ: F₅/D₅ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.3F5	320,209
C₄⋊C₄.₄F₅ = Dic₁₀⋊₁C₈	φ: F₅/D₅ → C₂ ⊆ Out C₄⋊C₄	320		C4:C4.4F5	320,210
C₄⋊C₄.₅F₅ = D₁₀⋊₂M₄(2)	φ: F₅/D₅ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.5F5	320,1042
C₄⋊C₄.₆F₅ = C₂₀⋊M₄(2)	φ: F₅/D₅ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.6F5	320,1043
C₄⋊C₄.₇F₅ = C₄⋊C₄.₇F₅	φ: F₅/D₅ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.7F5	320,1044
C₄⋊C₄.₈F₅ = Dic₅.M₄(2)	φ: F₅/D₅ → C₂ ⊆ Out C₄⋊C₄	320		C4:C4.8F5	320,1045
C₄⋊C₄.₉F₅ = C₄⋊C₄.₉F₅	φ: F₅/D₅ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.9F5	320,1046
C₄⋊C₄.₁₀F₅ = C₂₀.M₄(2)	φ: F₅/D₅ → C₂ ⊆ Out C₄⋊C₄	320		C4:C4.10F5	320,1047
C₄⋊C₄.₁₁F₅ = D₁₀.C₄²	φ: trivial image	160		C4:C4.11F5	320,1039
C₄⋊C₄.₁₂F₅ = D₂₀⋊₂C₈	φ: trivial image	160		C4:C4.12F5	320,1040
C₄⋊C₄.₁₃F₅ = Dic₁₀⋊C₈	φ: trivial image	320		C4:C4.13F5	320,1041

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