Extensions 1→N→G→Q→1 with N=C₄xC₈ and Q=C₂

Direct product G=NxQ with N=C₄xC₈ and Q=C₂

		d	ρ	Label	ID
C₂xC₄xC₈		64		C2xC4xC8	64,83

Semidirect products G=N:Q with N=C₄xC₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₈):₁C₂ = D₄:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	32		(C4xC8):1C2	64,6
(C₄xC₈):₂C₂ = C₄².₁₂C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	32		(C4xC8):2C2	64,112
(C₄xC₈):₃C₂ = C₄².₇C₂²	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	32		(C4xC8):3C2	64,114
(C₄xC₈):₄C₂ = C₈xD₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	32		(C4xC8):4C2	64,115
(C₄xC₈):₅C₂ = C₄.₄D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	32		(C4xC8):5C2	64,167
(C₄xC₈):₆C₂ = C₄².₇₈C₂²	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	32		(C4xC8):6C2	64,169
(C₄xC₈):₇C₂ = C₄xD₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	32		(C4xC8):7C2	64,118
(C₄xC₈):₈C₂ = C₈:₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	32		(C4xC8):8C2	64,174
(C₄xC₈):₉C₂ = C₈.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	32		(C4xC8):9C2	64,176
(C₄xC₈):₁₀C₂ = C₈oD₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	16	2	(C4xC8):10C2	64,124
(C₄xC₈):₁₁C₂ = C₄xSD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	32		(C4xC8):11C2	64,119
(C₄xC₈):₁₂C₂ = C₈:₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	32		(C4xC8):12C2	64,173
(C₄xC₈):₁₃C₂ = C₄xM₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	32		(C4xC8):13C2	64,85
(C₄xC₈):₁₄C₂ = C₈o₂M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	32		(C4xC8):14C2	64,86
(C₄xC₈):₁₅C₂ = C₈:₆D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	32		(C4xC8):15C2	64,117

Non-split extensions G=N.Q with N=C₄xC₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₈).₁C₂ = Q₈:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	64		(C4xC8).1C2	64,7
(C₄xC₈).₂C₂ = C₄:C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	64		(C4xC8).2C2	64,44
(C₄xC₈).₃C₂ = C₈xQ₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	64		(C4xC8).3C2	64,126
(C₄xC₈).₄C₂ = C₄.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	64		(C4xC8).4C2	64,168
(C₄xC₈).₅C₂ = C₈:₁C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	64		(C4xC8).5C2	64,16
(C₄xC₈).₆C₂ = C₄xQ₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	64		(C4xC8).6C2	64,120
(C₄xC₈).₇C₂ = C₄:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	64		(C4xC8).7C2	64,175
(C₄xC₈).₈C₂ = C₈:₂Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	64		(C4xC8).8C2	64,181
(C₄xC₈).₉C₂ = C₈.₅Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	64		(C4xC8).9C2	64,180
(C₄xC₈).₁₀C₂ = C₈.C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	16	2	(C4xC8).10C2	64,45
(C₄xC₈).₁₁C₂ = C₈:₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	64		(C4xC8).11C2	64,15
(C₄xC₈).₁₂C₂ = C₈:₃Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	64		(C4xC8).12C2	64,179
(C₄xC₈).₁₃C₂ = C₈:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	64		(C4xC8).13C2	64,3
(C₄xC₈).₁₄C₂ = C₁₆:₅C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	64		(C4xC8).14C2	64,27
(C₄xC₈).₁₅C₂ = C₈:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₈	64		(C4xC8).15C2	64,127

׿

x

:

Z

F

o

wr

Q

<