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
Dic₅×C₂₀		80		Dic5xC20	400,83

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄×Dic₅) = Dic₅×F₅	φ: C₄×Dic₅/Dic₅ → C₄ ⊆ Aut C₅	80	8-	C5:1(C4xDic5)	400,117
C₅⋊₂(C₄×Dic₅) = C₄×D₅.D₅	φ: C₄×Dic₅/C₂₀ → C₄ ⊆ Aut C₅	80	4	C5:2(C4xDic5)	400,144
C₅⋊₃(C₄×Dic₅) = Dic₅²	φ: C₄×Dic₅/C₂×Dic₅ → C₂ ⊆ Aut C₅	80		C5:3(C4xDic5)	400,71
C₅⋊₄(C₄×Dic₅) = C₄×C₅²⋊₆C₄	φ: C₄×Dic₅/C₂×C₂₀ → C₂ ⊆ Aut C₅	400		C5:4(C4xDic5)	400,99

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.(C4xDic5)	400,11

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