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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₆)⋊₁C₄ = C₂×C₈.Q₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₆	32		(C2xC16):1C4	128,886
(C₂×C₁₆)⋊₂C₄ = M₅(2)⋊₃C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₆	32	4	(C2xC16):2C4	128,887
(C₂×C₁₆)⋊₃C₄ = C₄².₂C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₆	32		(C2xC16):3C4	128,107
(C₂×C₁₆)⋊₄C₄ = M₄(2).C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₆	32	4	(C2xC16):4C4	128,110
(C₂×C₁₆)⋊₅C₄ = C₈.₁₁C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₆	32		(C2xC16):5C4	128,115
(C₂×C₁₆)⋊₆C₄ = C₂³.₉D₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₆	32	4	(C2xC16):6C4	128,116
(C₂×C₁₆)⋊₇C₄ = C₂×C₁₆⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₆	32		(C2xC16):7C4	128,841
(C₂×C₁₆)⋊₈C₄ = C₈.₂₃C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₆	32	4	(C2xC16):8C4	128,842
(C₂×C₁₆)⋊₉C₄ = C₂².₇M₅(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	128		(C2xC16):9C4	128,106
(C₂×C₁₆)⋊₁₀C₄ = M₅(2)⋊₇C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	64		(C2xC16):10C4	128,111
(C₂×C₁₆)⋊₁₁C₄ = C₈.₇C₄²	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	128		(C2xC16):11C4	128,112
(C₂×C₁₆)⋊₁₂C₄ = C₈.₉C₄²	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	64		(C2xC16):12C4	128,114
(C₂×C₁₆)⋊₁₃C₄ = C₂×C₁₆⋊₃C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	128		(C2xC16):13C4	128,888
(C₂×C₁₆)⋊₁₄C₄ = C₂³.₂₅D₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	64		(C2xC16):14C4	128,890
(C₂×C₁₆)⋊₁₅C₄ = C₂×C₁₆⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	128		(C2xC16):15C4	128,889
(C₂×C₁₆)⋊₁₆C₄ = C₂×C₁₆⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	128		(C2xC16):16C4	128,838
(C₂×C₁₆)⋊₁₇C₄ = C₁₆○₂M₅(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	64		(C2xC16):17C4	128,840

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₆).₁C₄ = C₁₆⋊₁C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₆	128		(C2xC16).1C4	128,100
(C₂×C₁₆).₂C₄ = C₁₆.C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₆	32	4	(C2xC16).2C4	128,101
(C₂×C₁₆).₃C₄ = C₁₆⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₆	128		(C2xC16).3C4	128,45
(C₂×C₁₆).₄C₄ = C₈.₁₃C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₆	32	4	(C2xC16).4C4	128,117
(C₂×C₁₆).₅C₄ = C₃₂⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₆	32	4	(C2xC16).5C4	128,130
(C₂×C₁₆).₆C₄ = C₂³.C₁₆	φ: C₄/C₁ → C₄ ⊆ Aut C₂×C₁₆	32	4	(C2xC16).6C4	128,132
(C₂×C₁₆).₇C₄ = C₈⋊C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	128		(C2xC16).7C4	128,44
(C₂×C₁₆).₈C₄ = C₈.₈C₄²	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	64		(C2xC16).8C4	128,113
(C₂×C₁₆).₉C₄ = C₂²⋊C₃₂	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	64		(C2xC16).9C4	128,131
(C₂×C₁₆).₁₀C₄ = C₄⋊C₃₂	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	128		(C2xC16).10C4	128,153
(C₂×C₁₆).₁₁C₄ = C₈.C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	32	2	(C2xC16).11C4	128,154
(C₂×C₁₆).₁₂C₄ = C₁₆⋊₃C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	128		(C2xC16).12C4	128,103
(C₂×C₁₆).₁₃C₄ = C₁₆.₃C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	32	2	(C2xC16).13C4	128,105
(C₂×C₁₆).₁₄C₄ = C₂×C₈.₄Q₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	64		(C2xC16).14C4	128,892
(C₂×C₁₆).₁₅C₄ = C₁₆⋊₄C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	128		(C2xC16).15C4	128,104
(C₂×C₁₆).₁₆C₄ = C₁₆⋊₅C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	128		(C2xC16).16C4	128,43
(C₂×C₁₆).₁₇C₄ = C₃₂⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	128		(C2xC16).17C4	128,129
(C₂×C₁₆).₁₈C₄ = M₇(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	64	2	(C2xC16).18C4	128,160
(C₂×C₁₆).₁₉C₄ = C₂×M₆(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₁₆	64		(C2xC16).19C4	128,989

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