Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄⋊₂D₅

Direct product G=N×Q with N=C₅ and Q=D₄⋊₂D₅

		d	ρ	Label	ID
C₅×D₄⋊₂D₅		40	4	C5xD4:2D5	400,186

Semidirect products G=N:Q with N=C₅ and Q=D₄⋊₂D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄⋊₂D₅) = D₂₀⋊D₅	φ: D₄⋊₂D₅/Dic₁₀ → C₂ ⊆ Aut C₅	40	4	C5:1(D4:2D5)	400,165
C₅⋊₂(D₄⋊₂D₅) = D₂₀⋊₅D₅	φ: D₄⋊₂D₅/C₄×D₅ → C₂ ⊆ Aut C₅	80	4-	C5:2(D4:2D5)	400,164
C₅⋊₃(D₄⋊₂D₅) = Dic₅.D₁₀	φ: D₄⋊₂D₅/C₂×Dic₅ → C₂ ⊆ Aut C₅	40	4	C5:3(D4:2D5)	400,173
C₅⋊₄(D₄⋊₂D₅) = D₁₀.₄D₁₀	φ: D₄⋊₂D₅/C₅⋊D₄ → C₂ ⊆ Aut C₅	40	4-	C5:4(D4:2D5)	400,174
C₅⋊₅(D₄⋊₂D₅) = C₂₀.D₁₀	φ: D₄⋊₂D₅/C₅×D₄ → C₂ ⊆ Aut C₅	200		C5:5(D4:2D5)	400,196

Non-split extensions G=N.Q with N=C₅ and Q=D₄⋊₂D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(D₄⋊₂D₅) = D₄⋊₂D₂₅	φ: D₄⋊₂D₅/C₅×D₄ → C₂ ⊆ Aut C₅	200	4-	C5.(D4:2D5)	400,40

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