Extensions 1→N→G→Q→1 with N=C₄xC₈ and Q=D₇

Direct product G=NxQ with N=C₄xC₈ and Q=D₇

		d	ρ	Label	ID
D₇xC₄xC₈		224		D7xC4xC8	448,218

Semidirect products G=N:Q with N=C₄xC₈ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₈):₁D₇ = C₄.₁₇D₅₆	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	224		(C4xC8):1D7	448,16
(C₄xC₈):₂D₇ = C₄².₂₈₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	224		(C4xC8):2D7	448,219
(C₄xC₈):₃D₇ = C₈xD₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	224		(C4xC8):3D7	448,220
(C₄xC₈):₄D₇ = C₄².₂₄₃D₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	224		(C4xC8):4D7	448,224
(C₄xC₈):₅D₇ = C₄.₅D₅₆	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	224		(C4xC8):5D7	448,228
(C₄xC₈):₆D₇ = C₄².₂₆₄D₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	224		(C4xC8):6D7	448,231
(C₄xC₈):₇D₇ = C₄xD₅₆	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	224		(C4xC8):7D7	448,226
(C₄xC₈):₈D₇ = C₂₈:₄D₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	224		(C4xC8):8D7	448,229
(C₄xC₈):₉D₇ = C₈.₈D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	224		(C4xC8):9D7	448,230
(C₄xC₈):₁₀D₇ = D₅₆:₁₁C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	112	2	(C4xC8):10D7	448,234
(C₄xC₈):₁₁D₇ = C₄xC₅₆:C₂	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	224		(C4xC8):11D7	448,225
(C₄xC₈):₁₂D₇ = C₈:₅D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	224		(C4xC8):12D7	448,227
(C₄xC₈):₁₃D₇ = C₄xC₈:D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	224		(C4xC8):13D7	448,221
(C₄xC₈):₁₄D₇ = C₈:₆D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	224		(C4xC8):14D7	448,222
(C₄xC₈):₁₅D₇ = D₁₄.C₄²	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	224		(C4xC8):15D7	448,223

Non-split extensions G=N.Q with N=C₄xC₈ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₈).₁D₇ = C₄².₂₇₉D₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	448		(C4xC8).1D7	448,11
(C₄xC₈).₂D₇ = C₄.₈Dic₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	448		(C4xC8).2D7	448,13
(C₄xC₈).₃D₇ = C₂₈:C₁₆	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	448		(C4xC8).3D7	448,19
(C₄xC₈).₄D₇ = C₈xDic₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	448		(C4xC8).4D7	448,212
(C₄xC₈).₅D₇ = C₂₈.₁₄Q₁₆	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	448		(C4xC8).5D7	448,215
(C₄xC₈).₆D₇ = C₅₆:₁C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	448		(C4xC8).6D7	448,15
(C₄xC₈).₇D₇ = C₅₆:₈Q₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	448		(C4xC8).7D7	448,216
(C₄xC₈).₈D₇ = C₄xDic₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	448		(C4xC8).8D7	448,232
(C₄xC₈).₉D₇ = C₂₈:₄Q₁₆	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	448		(C4xC8).9D7	448,233
(C₄xC₈).₁₀D₇ = C₅₆.₁₃Q₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	448		(C4xC8).10D7	448,217
(C₄xC₈).₁₁D₇ = C₅₆.₁₆Q₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	112	2	(C4xC8).11D7	448,20
(C₄xC₈).₁₂D₇ = C₅₆:₂C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	448		(C4xC8).12D7	448,14
(C₄xC₈).₁₃D₇ = C₅₆:₉Q₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	448		(C4xC8).13D7	448,214
(C₄xC₈).₁₄D₇ = C₅₆:C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	448		(C4xC8).14D7	448,12
(C₄xC₈).₁₅D₇ = C₅₆.C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	448		(C4xC8).15D7	448,18
(C₄xC₈).₁₆D₇ = C₅₆:₁₁Q₈	φ: D₇/C₇ → C₂ ⊆ Aut C₄xC₈	448		(C4xC8).16D7	448,213
(C₄xC₈).₁₇D₇ = C₈xC₇:C₈	central extension (φ=1)	448		(C4xC8).17D7	448,10
(C₄xC₈).₁₈D₇ = C₄xC₇:C₁₆	central extension (φ=1)	448		(C4xC8).18D7	448,17

׿

x

:

Z

F

o

wr

Q

<