Extensions 1→N→G→Q→1 with N=C₅ and Q=C₁₀.D₄

Direct product G=N×Q with N=C₅ and Q=C₁₀.D₄

		d	ρ	Label	ID
C₅×C₁₀.D₄		80		C5xC10.D4	400,84

Semidirect products G=N:Q with N=C₅ and Q=C₁₀.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₁₀.D₄) = D₅.Dic₁₀	φ: C₁₀.D₄/Dic₅ → C₄ ⊆ Aut C₅	80	8-	C5:(C10.D4)	400,119
C₅⋊₂(C₁₀.D₄) = Dic₅⋊Dic₅	φ: C₁₀.D₄/C₂×Dic₅ → C₂ ⊆ Aut C₅	80		C5:2(C10.D4)	400,74
C₅⋊₃(C₁₀.D₄) = C₁₀.Dic₁₀	φ: C₁₀.D₄/C₂×Dic₅ → C₂ ⊆ Aut C₅	80		C5:3(C10.D4)	400,75
C₅⋊₄(C₁₀.D₄) = C₁₀².₂₂C₂²	φ: C₁₀.D₄/C₂×C₂₀ → C₂ ⊆ Aut C₅	400		C5:4(C10.D4)	400,100

Non-split extensions G=N.Q with N=C₅ and Q=C₁₀.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₁₀.D₄) = C₅₀.D₄	φ: C₁₀.D₄/C₂×C₂₀ → C₂ ⊆ Aut C₅	400		C5.(C10.D4)	400,12

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