Extensions 1→N→G→Q→1 with N=C₂xC₁₆ and Q=C₄

Direct product G=NxQ with N=C₂xC₁₆ and Q=C₄

		d	ρ	Label	ID
C₂xC₄xC₁₆		128		C2xC4xC16	128,837

Semidirect products G=N:Q with N=C₂xC₁₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₆):₁C₄ = C₂xC₈.Q₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₁₆	32		(C2xC16):1C4	128,886
(C₂xC₁₆):₂C₄ = M₅(2):₃C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₁₆	32	4	(C2xC16):2C4	128,887
(C₂xC₁₆):₃C₄ = C₄².₂C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₁₆	32		(C2xC16):3C4	128,107
(C₂xC₁₆):₄C₄ = M₄(2).C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₁₆	32	4	(C2xC16):4C4	128,110
(C₂xC₁₆):₅C₄ = C₈.₁₁C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₁₆	32		(C2xC16):5C4	128,115
(C₂xC₁₆):₆C₄ = C₂³.₉D₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₁₆	32	4	(C2xC16):6C4	128,116
(C₂xC₁₆):₇C₄ = C₂xC₁₆:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₁₆	32		(C2xC16):7C4	128,841
(C₂xC₁₆):₈C₄ = C₈.₂₃C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₁₆	32	4	(C2xC16):8C4	128,842
(C₂xC₁₆):₉C₄ = C₂².₇M₅(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	128		(C2xC16):9C4	128,106
(C₂xC₁₆):₁₀C₄ = M₅(2):₇C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	64		(C2xC16):10C4	128,111
(C₂xC₁₆):₁₁C₄ = C₈.₇C₄²	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	128		(C2xC16):11C4	128,112
(C₂xC₁₆):₁₂C₄ = C₈.₉C₄²	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	64		(C2xC16):12C4	128,114
(C₂xC₁₆):₁₃C₄ = C₂xC₁₆:₃C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	128		(C2xC16):13C4	128,888
(C₂xC₁₆):₁₄C₄ = C₂³.₂₅D₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	64		(C2xC16):14C4	128,890
(C₂xC₁₆):₁₅C₄ = C₂xC₁₆:₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	128		(C2xC16):15C4	128,889
(C₂xC₁₆):₁₆C₄ = C₂xC₁₆:₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	128		(C2xC16):16C4	128,838
(C₂xC₁₆):₁₇C₄ = C₁₆o₂M₅(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	64		(C2xC16):17C4	128,840

Non-split extensions G=N.Q with N=C₂xC₁₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₆).₁C₄ = C₁₆:₁C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₁₆	128		(C2xC16).1C4	128,100
(C₂xC₁₆).₂C₄ = C₁₆.C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₁₆	32	4	(C2xC16).2C4	128,101
(C₂xC₁₆).₃C₄ = C₁₆:C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₁₆	128		(C2xC16).3C4	128,45
(C₂xC₁₆).₄C₄ = C₈.₁₃C₄²	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₁₆	32	4	(C2xC16).4C4	128,117
(C₂xC₁₆).₅C₄ = C₃₂:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₁₆	32	4	(C2xC16).5C4	128,130
(C₂xC₁₆).₆C₄ = C₂³.C₁₆	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₁₆	32	4	(C2xC16).6C4	128,132
(C₂xC₁₆).₇C₄ = C₈:C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	128		(C2xC16).7C4	128,44
(C₂xC₁₆).₈C₄ = C₈.₈C₄²	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	64		(C2xC16).8C4	128,113
(C₂xC₁₆).₉C₄ = C₂²:C₃₂	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	64		(C2xC16).9C4	128,131
(C₂xC₁₆).₁₀C₄ = C₄:C₃₂	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	128		(C2xC16).10C4	128,153
(C₂xC₁₆).₁₁C₄ = C₈.C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	32	2	(C2xC16).11C4	128,154
(C₂xC₁₆).₁₂C₄ = C₁₆:₃C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	128		(C2xC16).12C4	128,103
(C₂xC₁₆).₁₃C₄ = C₁₆.₃C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	32	2	(C2xC16).13C4	128,105
(C₂xC₁₆).₁₄C₄ = C₂xC₈.₄Q₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	64		(C2xC16).14C4	128,892
(C₂xC₁₆).₁₅C₄ = C₁₆:₄C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	128		(C2xC16).15C4	128,104
(C₂xC₁₆).₁₆C₄ = C₁₆:₅C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	128		(C2xC16).16C4	128,43
(C₂xC₁₆).₁₇C₄ = C₃₂:₅C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	128		(C2xC16).17C4	128,129
(C₂xC₁₆).₁₈C₄ = M₇(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	64	2	(C2xC16).18C4	128,160
(C₂xC₁₆).₁₉C₄ = C₂xM₆(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₁₆	64		(C2xC16).19C4	128,989

׿

x

:

Z

F

o

wr

Q

<