Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂xC₅:D₄

Direct product G=NxQ with N=C₅ and Q=C₂xC₅:D₄

		d	ρ	Label	ID
C₁₀xC₅:D₄		40		C10xC5:D4	400,190

Semidirect products G=N:Q with N=C₅ and Q=C₂xC₅:D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₂xC₅:D₄) = C₂xC₅:D₂₀	φ: C₂xC₅:D₄/C₂xDic₅ → C₂ ⊆ Aut C₅	40		C5:1(C2xC5:D4)	400,177
C₅:₂(C₂xC₅:D₄) = D₅xC₅:D₄	φ: C₂xC₅:D₄/C₅:D₄ → C₂ ⊆ Aut C₅	40	4	C5:2(C2xC5:D4)	400,179
C₅:₃(C₂xC₅:D₄) = C₂xC₅²:₂D₄	φ: C₂xC₅:D₄/C₂²xD₅ → C₂ ⊆ Aut C₅	80		C5:3(C2xC5:D4)	400,176
C₅:₄(C₂xC₅:D₄) = C₂xC₅²:₇D₄	φ: C₂xC₅:D₄/C₂²xC₁₀ → C₂ ⊆ Aut C₅	200		C5:4(C2xC5:D4)	400,200

Non-split extensions G=N.Q with N=C₅ and Q=C₂xC₅:D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂xC₅:D₄) = C₂xC₂₅:D₄	φ: C₂xC₅:D₄/C₂²xC₁₀ → C₂ ⊆ Aut C₅	200		C5.(C2xC5:D4)	400,44

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