Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=F₅

Direct product G=N×Q with N=C₂²⋊C₄ and Q=F₅

		d	ρ	Label	ID
C₂²⋊C₄×F₅		40		C2^2:C4xF5	320,1036

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁F₅ = C₅⋊C₂≀C₄	φ: F₅/C₅ → C₄ ⊆ Out C₂²⋊C₄	40	8+	C2^2:C4:1F5	320,202
C₂²⋊C₄⋊₂F₅ = C₂²⋊C₄⋊F₅	φ: F₅/C₅ → C₄ ⊆ Out C₂²⋊C₄	80	8-	C2^2:C4:2F5	320,203
C₂²⋊C₄⋊₃F₅ = (C₂²×F₅)⋊C₄	φ: F₅/D₅ → C₂ ⊆ Out C₂²⋊C₄	40	8+	C2^2:C4:3F5	320,204
C₂²⋊C₄⋊₄F₅ = D₁₀⋊(C₄⋊C₄)	φ: F₅/D₅ → C₂ ⊆ Out C₂²⋊C₄	40		C2^2:C4:4F5	320,1037
C₂²⋊C₄⋊₅F₅ = C₁₀.(C₄×D₄)	φ: F₅/D₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:5F5	320,1038

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁F₅ = C₂²⋊C₄.F₅	φ: F₅/D₅ → C₂ ⊆ Out C₂²⋊C₄	80	8-	C2^2:C4.1F5	320,205
C₂²⋊C₄.₂F₅ = C₅⋊C₈⋊D₄	φ: F₅/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.2F5	320,1031
C₂²⋊C₄.₃F₅ = D₁₀⋊M₄(2)	φ: F₅/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.3F5	320,1032
C₂²⋊C₄.₄F₅ = Dic₅⋊M₄(2)	φ: F₅/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.4F5	320,1033
C₂²⋊C₄.₅F₅ = C₂₀⋊C₈⋊C₂	φ: F₅/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.5F5	320,1034
C₂²⋊C₄.₆F₅ = C₂³.(C₂×F₅)	φ: F₅/D₅ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.6F5	320,1035
C₂²⋊C₄.₇F₅ = Dic₅.C₄²	φ: trivial image	160		C2^2:C4.7F5	320,1029
C₂²⋊C₄.₈F₅ = C₅⋊C₈⋊₈D₄	φ: trivial image	160		C2^2:C4.8F5	320,1030

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