Extensions 1→N→G→Q→1 with N=C₇xQ₈ and Q=C₄

Direct product G=NxQ with N=C₇xQ₈ and Q=C₄

		d	ρ	Label	ID
Q₈xC₂₈		224		Q8xC28	224,154

Semidirect products G=N:Q with N=C₇xQ₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xQ₈):₁C₄ = Q₈:Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8):1C4	224,41
(C₇xQ₈):₂C₄ = D₄:₂Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇xQ₈	56	4	(C7xQ8):2C4	224,43
(C₇xQ₈):₃C₄ = Q₈xDic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8):3C4	224,140
(C₇xQ₈):₄C₄ = C₇xQ₈:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₇xQ₈	224		(C7xQ8):4C4	224,52
(C₇xQ₈):₅C₄ = C₇xC₄wrC₂	φ: C₄/C₂ → C₂ ⊆ Out C₇xQ₈	56	2	(C7xQ8):5C4	224,53

Non-split extensions G=N.Q with N=C₇xQ₈ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇xQ₈).C₄ = Q₈.Dic₇	φ: C₄/C₂ → C₂ ⊆ Out C₇xQ₈	112	4	(C7xQ8).C4	224,143
(C₇xQ₈).₂C₄ = C₇xC₈oD₄	φ: trivial image	112	2	(C7xQ8).2C4	224,166

׿

x

:

Z

F

o

wr

Q

<