Extensions 1→N→G→Q→1 with N=C₅ and Q=D₆.D₄

Direct product G=NxQ with N=C₅ and Q=D₆.D₄

		d	ρ	Label	ID
C₅xD₆.D₄		240		C5xD6.D4	480,773

Semidirect products G=N:Q with N=C₅ and Q=D₆.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(D₆.D₄) = D₃₀.₆D₄	φ: D₆.D₄/Dic₃:C₄ → C₂ ⊆ Aut C₅	240		C5:1(D6.D4)	480,509
C₅:₂(D₆.D₄) = D₃₀.₃₅D₄	φ: D₆.D₄/D₆:C₄ → C₂ ⊆ Aut C₅	240		C5:2(D6.D4)	480,431
C₅:₃(D₆.D₄) = D₆.D₂₀	φ: D₆.D₄/D₆:C₄ → C₂ ⊆ Aut C₅	240		C5:3(D6.D4)	480,503
C₅:₄(D₆.D₄) = D₃₀.₇D₄	φ: D₆.D₄/D₆:C₄ → C₂ ⊆ Aut C₅	240		C5:4(D6.D4)	480,514
C₅:₅(D₆.D₄) = D₃₀.₂₉D₄	φ: D₆.D₄/C₃xC₄:C₄ → C₂ ⊆ Aut C₅	240		C5:5(D6.D4)	480,859
C₅:₆(D₆.D₄) = D₆:Dic₅:C₂	φ: D₆.D₄/S₃xC₂xC₄ → C₂ ⊆ Aut C₅	240		C5:6(D6.D4)	480,427
C₅:₇(D₆.D₄) = (C₂xD₁₂).D₅	φ: D₆.D₄/C₂xD₁₂ → C₂ ⊆ Aut C₅	240		C5:7(D6.D4)	480,499

׿

x

:

Z

F

o

wr

Q

<