Extensions 1→N→G→Q→1 with N=C₂×C₇₀ and Q=C₂

Direct product G=N×Q with N=C₂×C₇₀ and Q=C₂

		d	ρ	Label	ID
C₂²×C₇₀		280		C2^2xC70	280,40

Semidirect products G=N:Q with N=C₂×C₇₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₇₀)⋊₁C₂ = D₄×C₃₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₀	140	2	(C2xC70):1C2	280,30
(C₂×C₇₀)⋊₂C₂ = C₃₅⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₀	140	2	(C2xC70):2C2	280,28
(C₂×C₇₀)⋊₃C₂ = C₂²×D₃₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₀	140		(C2xC70):3C2	280,39
(C₂×C₇₀)⋊₄C₂ = C₅×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₀	140	2	(C2xC70):4C2	280,18
(C₂×C₇₀)⋊₅C₂ = D₇×C₂×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₀	140		(C2xC70):5C2	280,37
(C₂×C₇₀)⋊₆C₂ = C₇×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₀	140	2	(C2xC70):6C2	280,23
(C₂×C₇₀)⋊₇C₂ = D₅×C₂×C₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₀	140		(C2xC70):7C2	280,38

Non-split extensions G=N.Q with N=C₂×C₇₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₇₀).₁C₂ = C₂×Dic₃₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₀	280		(C2xC70).1C2	280,27
(C₂×C₇₀).₂C₂ = C₁₀×Dic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₀	280		(C2xC70).2C2	280,17
(C₂×C₇₀).₃C₂ = C₁₄×Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₀	280		(C2xC70).3C2	280,22

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