Extensions 1→N→G→Q→1 with N=C₇ and Q=Dic₁₀

Direct product G=NxQ with N=C₇ and Q=Dic₁₀

		d	ρ	Label	ID
C₇xDic₁₀		280	2	C7xDic10	280,19

Semidirect products G=N:Q with N=C₇ and Q=Dic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇:₁Dic₁₀ = C₃₅:Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₇	280	4-	C7:1Dic10	280,13
C₇:₂Dic₁₀ = Dic₇₀	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₇	280	2-	C7:2Dic10	280,24

׿

x

:

Z

F

o

wr

Q

<