Extensions 1→N→G→Q→1 with N=C₂xC₈ and Q=C₂

Direct product G=NxQ with N=C₂xC₈ and Q=C₂

		d	ρ	Label	ID
C₂²xC₈		32		C2^2xC8	32,36

Semidirect products G=N:Q with N=C₂xC₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₈):₁C₂ = C₂²:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₈	16		(C2xC8):1C2	32,5
(C₂xC₈):₂C₂ = D₄:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₈	16		(C2xC8):2C2	32,9
(C₂xC₈):₃C₂ = C₂xD₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₈	16		(C2xC8):3C2	32,39
(C₂xC₈):₄C₂ = C₄oD₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₈	16	2	(C2xC8):4C2	32,42
(C₂xC₈):₅C₂ = C₂xSD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₈	16		(C2xC8):5C2	32,40
(C₂xC₈):₆C₂ = C₂xM₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₈	16		(C2xC8):6C2	32,37
(C₂xC₈):₇C₂ = C₈oD₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₈	16	2	(C2xC8):7C2	32,38

Non-split extensions G=N.Q with N=C₂xC₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₈).₁C₂ = Q₈:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₈	32		(C2xC8).1C2	32,10
(C₂xC₈).₂C₂ = C₄:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₈	32		(C2xC8).2C2	32,12
(C₂xC₈).₃C₂ = C₂.D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₈	32		(C2xC8).3C2	32,14
(C₂xC₈).₄C₂ = C₂xQ₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₈	32		(C2xC8).4C2	32,41
(C₂xC₈).₅C₂ = C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₈	16	2	(C2xC8).5C2	32,15
(C₂xC₈).₆C₂ = C₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₈	32		(C2xC8).6C2	32,13
(C₂xC₈).₇C₂ = C₈:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₈	32		(C2xC8).7C2	32,4
(C₂xC₈).₈C₂ = M₅(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₈	16	2	(C2xC8).8C2	32,17

׿

x

:

Z

F

o

wr

Q

<