Extensions 1→N→G→Q→1 with N=C₄×C₁₆ and Q=C₂

Direct product G=N×Q with N=C₄×C₁₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×C₁₆		128		C2xC4xC16	128,837

Semidirect products G=N:Q with N=C₄×C₁₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₁₆)⋊₁C₂ = D₄⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₁₆	64		(C4xC16):1C2	128,61
(C₄×C₁₆)⋊₂C₂ = C₄.₁₆D₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₁₆	64		(C4xC16):2C2	128,63
(C₄×C₁₆)⋊₃C₂ = C₄².₁₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₁₆	64		(C4xC16):3C2	128,894
(C₄×C₁₆)⋊₄C₂ = C₈.₁₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₁₆	64		(C4xC16):4C2	128,896
(C₄×C₁₆)⋊₅C₂ = D₄×C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₁₆	64		(C4xC16):5C2	128,899
(C₄×C₁₆)⋊₆C₂ = C₄.₄D₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₁₆	64		(C4xC16):6C2	128,972
(C₄×C₁₆)⋊₇C₂ = C₈.₂₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₁₆	64		(C4xC16):7C2	128,974
(C₄×C₁₆)⋊₈C₂ = C₄×D₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₁₆	64		(C4xC16):8C2	128,904
(C₄×C₁₆)⋊₉C₂ = C₄⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₁₆	64		(C4xC16):9C2	128,978
(C₄×C₁₆)⋊₁₀C₂ = C₈○D₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₁₆	32	2	(C4xC16):10C2	128,910
(C₄×C₁₆)⋊₁₁C₂ = C₈.₂₁D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₁₆	64		(C4xC16):11C2	128,981
(C₄×C₁₆)⋊₁₂C₂ = C₄×SD₃₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₁₆	64		(C4xC16):12C2	128,905
(C₄×C₁₆)⋊₁₃C₂ = C₁₆⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₁₆	64		(C4xC16):13C2	128,980
(C₄×C₁₆)⋊₁₄C₂ = C₄×M₅(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₁₆	64		(C4xC16):14C2	128,839
(C₄×C₁₆)⋊₁₅C₂ = C₁₆○₂M₅(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₁₆	64		(C4xC16):15C2	128,840
(C₄×C₁₆)⋊₁₆C₂ = C₁₆⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₁₆	64		(C4xC16):16C2	128,901
(C₄×C₁₆)⋊₁₇C₂ = C₁₆○D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₁₆	32	2	(C4xC16):17C2	128,902

Non-split extensions G=N.Q with N=C₄×C₁₆ and Q=C₂

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

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