Extensions 1→N→G→Q→1 with N=C₂×C₈₀ and Q=C₂

Direct product G=N×Q with N=C₂×C₈₀ and Q=C₂

		d	ρ	Label	ID
C₂²×C₈₀		320		C2^2xC80	320,1003

Semidirect products G=N:Q with N=C₂×C₈₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈₀)⋊₁C₂ = D₁₀⋊₁C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160		(C2xC80):1C2	320,65
(C₂×C₈₀)⋊₂C₂ = D₂₀.₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160	2	(C2xC80):2C2	320,66
(C₂×C₈₀)⋊₃C₂ = D₄₀⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160		(C2xC80):3C2	320,67
(C₂×C₈₀)⋊₄C₂ = D₄₀.₃C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160	2	(C2xC80):4C2	320,68
(C₂×C₈₀)⋊₅C₂ = C₅×C₂²⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160		(C2xC80):5C2	320,153
(C₂×C₈₀)⋊₆C₂ = C₅×D₄.C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160	2	(C2xC80):6C2	320,155
(C₂×C₈₀)⋊₇C₂ = C₅×C₂.D₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160		(C2xC80):7C2	320,162
(C₂×C₈₀)⋊₈C₂ = C₅×D₈.C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160	2	(C2xC80):8C2	320,164
(C₂×C₈₀)⋊₉C₂ = C₂×D₈₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160		(C2xC80):9C2	320,529
(C₂×C₈₀)⋊₁₀C₂ = D₈₀⋊₇C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160	2	(C2xC80):10C2	320,531
(C₂×C₈₀)⋊₁₁C₂ = C₂×C₁₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160		(C2xC80):11C2	320,530
(C₂×C₈₀)⋊₁₂C₂ = C₁₀×D₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160		(C2xC80):12C2	320,1006
(C₂×C₈₀)⋊₁₃C₂ = C₅×C₄○D₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160	2	(C2xC80):13C2	320,1009
(C₂×C₈₀)⋊₁₄C₂ = D₅×C₂×C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160		(C2xC80):14C2	320,526
(C₂×C₈₀)⋊₁₅C₂ = C₂×C₈₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160		(C2xC80):15C2	320,527
(C₂×C₈₀)⋊₁₆C₂ = D₂₀.₆C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160	2	(C2xC80):16C2	320,528
(C₂×C₈₀)⋊₁₇C₂ = C₁₀×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160		(C2xC80):17C2	320,1007
(C₂×C₈₀)⋊₁₈C₂ = C₁₀×M₅(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160		(C2xC80):18C2	320,1004
(C₂×C₈₀)⋊₁₉C₂ = C₅×D₄○C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160	2	(C2xC80):19C2	320,1005

Non-split extensions G=N.Q with N=C₂×C₈₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₈₀).₁C₂ = C₄₀.₈₈D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	320		(C2xC80).1C2	320,59
(C₂×C₈₀).₂C₂ = C₄₀.₇₈D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	320		(C2xC80).2C2	320,61
(C₂×C₈₀).₃C₂ = C₅×C₂.Q₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	320		(C2xC80).3C2	320,163
(C₂×C₈₀).₄C₂ = C₅×C₄⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	320		(C2xC80).4C2	320,168
(C₂×C₈₀).₅C₂ = C₈₀⋊₁₃C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	320		(C2xC80).5C2	320,62
(C₂×C₈₀).₆C₂ = C₂×Dic₄₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	320		(C2xC80).6C2	320,532
(C₂×C₈₀).₇C₂ = C₈₀.₆C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160	2	(C2xC80).7C2	320,64
(C₂×C₈₀).₈C₂ = C₈₀⋊₁₄C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	320		(C2xC80).8C2	320,63
(C₂×C₈₀).₉C₂ = C₅×C₁₆⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	320		(C2xC80).9C2	320,171
(C₂×C₈₀).₁₀C₂ = C₁₀×Q₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	320		(C2xC80).10C2	320,1008
(C₂×C₈₀).₁₁C₂ = C₅×C₈.₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160	2	(C2xC80).11C2	320,173
(C₂×C₈₀).₁₂C₂ = C₂×C₅⋊₂C₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	320		(C2xC80).12C2	320,56
(C₂×C₈₀).₁₃C₂ = C₈₀.₉C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160	2	(C2xC80).13C2	320,57
(C₂×C₈₀).₁₄C₂ = C₁₆×Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	320		(C2xC80).14C2	320,58
(C₂×C₈₀).₁₅C₂ = C₈₀⋊₁₇C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	320		(C2xC80).15C2	320,60
(C₂×C₈₀).₁₆C₂ = C₅×C₁₆⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	320		(C2xC80).16C2	320,172
(C₂×C₈₀).₁₇C₂ = C₅×C₁₆⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	320		(C2xC80).17C2	320,151
(C₂×C₈₀).₁₈C₂ = C₅×M₆(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₈₀	160	2	(C2xC80).18C2	320,175

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