Extensions 1→N→G→Q→1 with N=C₅⋊D₅ and Q=C₄

Direct product G=N×Q with N=C₅⋊D₅ and Q=C₄

		d	ρ	Label	ID
C₄×C₅⋊D₅		100		C4xC5:D5	200,33

Semidirect products G=N:Q with N=C₅⋊D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₅⋊C₄ = D₅×F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅⋊D₅	20	8+	C5:D5:C4	200,41
C₅⋊D₅⋊₂C₄ = Dic₅⋊₂D₅	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊D₅	20	4+	C5:D5:2C4	200,23
C₅⋊D₅⋊₃C₄ = C₂×C₅⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊D₅	50		C5:D5:3C4	200,47
C₅⋊D₅⋊₄C₄ = C₂×C₅²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊D₅	20	4+	C5:D5:4C4	200,48

Non-split extensions G=N.Q with N=C₅⋊D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊D₅.C₄ = C₅²⋊C₈	φ: C₄/C₁ → C₄ ⊆ Out C₅⋊D₅	10	8+	C5:D5.C4	200,40

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Extensions 1→N→G→Q→1 with N=C5⋊D5 and Q=C4