Extensions 1→N→G→Q→1 with N=C₄xC₁₆ and Q=C₂

Direct product G=NxQ with N=C₄xC₁₆ and Q=C₂

		d	ρ	Label	ID
C₂xC₄xC₁₆		128		C2xC4xC16	128,837

Semidirect products G=N:Q with N=C₄xC₁₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₁₆):₁C₂ = D₄:C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	64		(C4xC16):1C2	128,61
(C₄xC₁₆):₂C₂ = C₄.₁₆D₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	64		(C4xC16):2C2	128,63
(C₄xC₁₆):₃C₂ = C₄².₁₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	64		(C4xC16):3C2	128,894
(C₄xC₁₆):₄C₂ = C₈.₁₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	64		(C4xC16):4C2	128,896
(C₄xC₁₆):₅C₂ = D₄xC₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	64		(C4xC16):5C2	128,899
(C₄xC₁₆):₆C₂ = C₄.₄D₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	64		(C4xC16):6C2	128,972
(C₄xC₁₆):₇C₂ = C₈.₂₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	64		(C4xC16):7C2	128,974
(C₄xC₁₆):₈C₂ = C₄xD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	64		(C4xC16):8C2	128,904
(C₄xC₁₆):₉C₂ = C₄:D₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	64		(C4xC16):9C2	128,978
(C₄xC₁₆):₁₀C₂ = C₈oD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	32	2	(C4xC16):10C2	128,910
(C₄xC₁₆):₁₁C₂ = C₈.₂₁D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	64		(C4xC16):11C2	128,981
(C₄xC₁₆):₁₂C₂ = C₄xSD₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	64		(C4xC16):12C2	128,905
(C₄xC₁₆):₁₃C₂ = C₁₆:₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	64		(C4xC16):13C2	128,980
(C₄xC₁₆):₁₄C₂ = C₄xM₅(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	64		(C4xC16):14C2	128,839
(C₄xC₁₆):₁₅C₂ = C₁₆o₂M₅(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	64		(C4xC16):15C2	128,840
(C₄xC₁₆):₁₆C₂ = C₁₆:₆D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	64		(C4xC16):16C2	128,901
(C₄xC₁₆):₁₇C₂ = C₁₆oD₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	32	2	(C4xC16):17C2	128,902

Non-split extensions G=N.Q with N=C₄xC₁₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₁₆).₁C₂ = C₈:C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	128		(C4xC16).1C2	128,44
(C₄xC₁₆).₂C₂ = Q₁₆:₁C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	128		(C4xC16).2C2	128,64
(C₄xC₁₆).₃C₂ = Q₈:C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	128		(C4xC16).3C2	128,69
(C₄xC₁₆).₄C₂ = C₄:C₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	128		(C4xC16).4C2	128,153
(C₄xC₁₆).₅C₂ = Q₈xC₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	128		(C4xC16).5C2	128,914
(C₄xC₁₆).₆C₂ = C₄.SD₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	128		(C4xC16).6C2	128,973
(C₄xC₁₆).₇C₂ = C₁₆:₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	128		(C4xC16).7C2	128,103
(C₄xC₁₆).₈C₂ = C₄xQ₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	128		(C4xC16).8C2	128,906
(C₄xC₁₆).₉C₂ = C₄:Q₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	128		(C4xC16).9C2	128,979
(C₄xC₁₆).₁₀C₂ = C₁₆:₂Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	128		(C4xC16).10C2	128,984
(C₄xC₁₆).₁₁C₂ = C₁₆.₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	32	2	(C4xC16).11C2	128,105
(C₄xC₁₆).₁₂C₂ = C₁₆.₅Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	128		(C4xC16).12C2	128,985
(C₄xC₁₆).₁₃C₂ = C₁₆:₄C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	128		(C4xC16).13C2	128,104
(C₄xC₁₆).₁₄C₂ = C₁₆:₃Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	128		(C4xC16).14C2	128,986
(C₄xC₁₆).₁₅C₂ = C₁₆:₅C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	128		(C4xC16).15C2	128,43
(C₄xC₁₆).₁₆C₂ = C₃₂:₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	128		(C4xC16).16C2	128,129
(C₄xC₁₆).₁₇C₂ = C₈.C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	32	2	(C4xC16).17C2	128,154
(C₄xC₁₆).₁₈C₂ = C₁₆:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₁₆	128		(C4xC16).18C2	128,915

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