Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄⋊Dic₅

Direct product G=N×Q with N=C₅ and Q=C₄⋊Dic₅

		d	ρ	Label	ID
C₅×C₄⋊Dic₅		80		C5xC4:Dic5	400,85

Semidirect products G=N:Q with N=C₅ and Q=C₄⋊Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄⋊Dic₅) = C₂₀⋊₅F₅	φ: C₄⋊Dic₅/C₂₀ → C₄ ⊆ Aut C₅	80	4	C5:(C4:Dic5)	400,145
C₅⋊₂(C₄⋊Dic₅) = Dic₅⋊Dic₅	φ: C₄⋊Dic₅/C₂×Dic₅ → C₂ ⊆ Aut C₅	80		C5:2(C4:Dic5)	400,74
C₅⋊₃(C₄⋊Dic₅) = C₂₀⋊₃Dic₅	φ: C₄⋊Dic₅/C₂×C₂₀ → C₂ ⊆ Aut C₅	400		C5:3(C4:Dic5)	400,101

Non-split extensions G=N.Q with N=C₅ and Q=C₄⋊Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₄⋊Dic₅) = C₄⋊Dic₂₅	φ: C₄⋊Dic₅/C₂×C₂₀ → C₂ ⊆ Aut C₅	400		C5.(C4:Dic5)	400,13

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Extensions 1→N→G→Q→1 with N=C5 and Q=C4⋊Dic5