Extensions 1→N→G→Q→1 with N=C₇xC₂₈ and Q=C₂

Direct product G=NxQ with N=C₇xC₂₈ and Q=C₂

		d	ρ	Label	ID
C₁₄xC₂₈		392		C14xC28	392,33

Semidirect products G=N:Q with N=C₇xC₂₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₇xC₂₈):₁C₂ = C₂₈:D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₇xC₂₈	196		(C7xC28):1C2	392,30
(C₇xC₂₈):₂C₂ = C₇xD₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₇xC₂₈	56	2	(C7xC28):2C2	392,25
(C₇xC₂₈):₃C₂ = D₇xC₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₇xC₂₈	56	2	(C7xC28):3C2	392,24
(C₇xC₂₈):₄C₂ = C₄xC₇:D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₇xC₂₈	196		(C7xC28):4C2	392,29
(C₇xC₂₈):₅C₂ = D₄xC₇²	φ: C₂/C₁ → C₂ ⊆ Aut C₇xC₂₈	196		(C7xC28):5C2	392,34

Non-split extensions G=N.Q with N=C₇xC₂₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₇xC₂₈).₁C₂ = C₇²:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₇xC₂₈	392		(C7xC28).1C2	392,28
(C₇xC₂₈).₂C₂ = C₇xDic₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₇xC₂₈	56	2	(C7xC28).2C2	392,23
(C₇xC₂₈).₃C₂ = C₇xC₇:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₇xC₂₈	56	2	(C7xC28).3C2	392,14
(C₇xC₂₈).₄C₂ = C₇²:₄C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₇xC₂₈	392		(C7xC28).4C2	392,15
(C₇xC₂₈).₅C₂ = Q₈xC₇²	φ: C₂/C₁ → C₂ ⊆ Aut C₇xC₂₈	392		(C7xC28).5C2	392,35

׿

x

:

Z

F

o

wr

Q

<