Extensions 1→N→G→Q→1 with N=C₂xQ₈ and Q=D₇

Direct product G=NxQ with N=C₂xQ₈ and Q=D₇

		d	ρ	Label	ID
C₂xQ₈xD₇		112		C2xQ8xD7	224,181

Semidirect products G=N:Q with N=C₂xQ₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xQ₈):₁D₇ = C₂xQ₈:D₇	φ: D₇/C₇ → C₂ ⊆ Out C₂xQ₈	112		(C2xQ8):1D7	224,136
(C₂xQ₈):₂D₇ = C₂₈.C₂³	φ: D₇/C₇ → C₂ ⊆ Out C₂xQ₈	112	4	(C2xQ8):2D7	224,137
(C₂xQ₈):₃D₇ = D₁₄:₃Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₂xQ₈	112		(C2xQ8):3D7	224,141
(C₂xQ₈):₄D₇ = C₂₈.₂₃D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂xQ₈	112		(C2xQ8):4D7	224,142
(C₂xQ₈):₅D₇ = Q₈.₁₀D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₂xQ₈	112	4	(C2xQ8):5D7	224,183
(C₂xQ₈):₆D₇ = C₂xQ₈:₂D₇	φ: trivial image	112		(C2xQ8):6D7	224,182

Non-split extensions G=N.Q with N=C₂xQ₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xQ₈).₁D₇ = Q₈:Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₂xQ₈	224		(C2xQ8).1D7	224,41
(C₂xQ₈).₂D₇ = C₂₈.₁₀D₄	φ: D₇/C₇ → C₂ ⊆ Out C₂xQ₈	112	4	(C2xQ8).2D7	224,42
(C₂xQ₈).₃D₇ = C₂xC₇:Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₂xQ₈	224		(C2xQ8).3D7	224,138
(C₂xQ₈).₄D₇ = Dic₇:Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₂xQ₈	224		(C2xQ8).4D7	224,139
(C₂xQ₈).₅D₇ = Q₈xDic₇	φ: trivial image	224		(C2xQ8).5D7	224,140

׿

x

:

Z

F

o

wr

Q

<