Extensions 1→N→G→Q→1 with N=C₂xC₇₀ and Q=C₂

Direct product G=NxQ with N=C₂xC₇₀ and Q=C₂

		d	ρ	Label	ID
C₂²xC₇₀		280		C2^2xC70	280,40

Semidirect products G=N:Q with N=C₂xC₇₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₇₀):₁C₂ = D₄xC₃₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₇₀	140	2	(C2xC70):1C2	280,30
(C₂xC₇₀):₂C₂ = C₃₅:₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₇₀	140	2	(C2xC70):2C2	280,28
(C₂xC₇₀):₃C₂ = C₂²xD₃₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₇₀	140		(C2xC70):3C2	280,39
(C₂xC₇₀):₄C₂ = C₅xC₇:D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₇₀	140	2	(C2xC70):4C2	280,18
(C₂xC₇₀):₅C₂ = D₇xC₂xC₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₇₀	140		(C2xC70):5C2	280,37
(C₂xC₇₀):₆C₂ = C₇xC₅:D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₇₀	140	2	(C2xC70):6C2	280,23
(C₂xC₇₀):₇C₂ = D₅xC₂xC₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₇₀	140		(C2xC70):7C2	280,38

Non-split extensions G=N.Q with N=C₂xC₇₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₇₀).₁C₂ = C₂xDic₃₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₇₀	280		(C2xC70).1C2	280,27
(C₂xC₇₀).₂C₂ = C₁₀xDic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₇₀	280		(C2xC70).2C2	280,17
(C₂xC₇₀).₃C₂ = C₁₄xDic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₇₀	280		(C2xC70).3C2	280,22

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