Extensions 1→N→G→Q→1 with N=C₇ and Q=C₅:D₄

Direct product G=NxQ with N=C₇ and Q=C₅:D₄

		d	ρ	Label	ID
C₇xC₅:D₄		140	2	C7xC5:D4	280,23

Semidirect products G=N:Q with N=C₇ and Q=C₅:D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇:₁(C₅:D₄) = C₅:D₂₈	φ: C₅:D₄/Dic₅ → C₂ ⊆ Aut C₇	140	4+	C7:1(C5:D4)	280,11
C₇:₂(C₅:D₄) = C₃₅:D₄	φ: C₅:D₄/D₁₀ → C₂ ⊆ Aut C₇	140	4-	C7:2(C5:D4)	280,10
C₇:₃(C₅:D₄) = C₃₅:₇D₄	φ: C₅:D₄/C₂xC₁₀ → C₂ ⊆ Aut C₇	140	2	C7:3(C5:D4)	280,28

׿

x

:

Z

F

o

wr

Q

<