Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=C₈

Direct product G=NxQ with N=C₂xC₁₀ and Q=C₈

		d	ρ	Label	ID
C₂²xC₄₀		160		C2^2xC40	160,190

Semidirect products G=N:Q with N=C₂xC₁₀ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀):₁C₈ = C₂³.₂F₅	φ: C₈/C₂ → C₄ ⊆ Aut C₂xC₁₀	80		(C2xC10):1C8	160,87
(C₂xC₁₀):₂C₈ = C₂²xC₅:C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂xC₁₀	160		(C2xC10):2C8	160,210
(C₂xC₁₀):₃C₈ = C₅xC₂²:C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10):3C8	160,48
(C₂xC₁₀):₄C₈ = C₂₀.₅₅D₄	φ: C₈/C₄ → C₂ ⊆ Aut C₂xC₁₀	80		(C2xC10):4C8	160,37
(C₂xC₁₀):₅C₈ = C₂²xC₅:₂C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10):5C8	160,141

Non-split extensions G=N.Q with N=C₂xC₁₀ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀).₁C₈ = C₂xC₅:C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₂xC₁₀	160		(C2xC10).1C8	160,72
(C₂xC₁₀).₂C₈ = C₂₀.C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₂xC₁₀	80	4	(C2xC10).2C8	160,73
(C₂xC₁₀).₃C₈ = C₅xM₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₂xC₁₀	80	2	(C2xC10).3C8	160,60
(C₂xC₁₀).₄C₈ = C₂xC₅:₂C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₂xC₁₀	160		(C2xC10).4C8	160,18
(C₂xC₁₀).₅C₈ = C₂₀.₄C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₂xC₁₀	80	2	(C2xC10).5C8	160,19

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