Extensions 1→N→G→Q→1 with N=C₅⋊D₄ and Q=C₄

Direct product G=N×Q with N=C₅⋊D₄ and Q=C₄

		d	ρ	Label	ID
C₄×C₅⋊D₄		80		C4xC5:D4	160,149

Semidirect products G=N:Q with N=C₅⋊D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₄⋊C₄ = D₄×F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅⋊D₄	20	8+	C5:D4:C4	160,207
C₅⋊D₄⋊₂C₄ = Dic₅⋊₄D₄	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊D₄	80		C5:D4:2C4	160,102

Non-split extensions G=N.Q with N=C₅⋊D₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₄.C₄ = D₄.F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅⋊D₄	80	8-	C5:D4.C4	160,206
C₅⋊D₄.₂C₄ = D₂₀.₂C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊D₄	80	4	C5:D4.2C4	160,128
C₅⋊D₄.₃C₄ = D₂₀.₃C₄	φ: trivial image	80	2	C5:D4.3C4	160,122

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Extensions 1→N→G→Q→1 with N=C5⋊D4 and Q=C4