Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂xD₂₄

Direct product G=NxQ with N=C₅ and Q=C₂xD₂₄

		d	ρ	Label	ID
C₁₀xD₂₄		240		C10xD24	480,782

Semidirect products G=N:Q with N=C₅ and Q=C₂xD₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₂xD₂₄) = D₅xD₂₄	φ: C₂xD₂₄/D₂₄ → C₂ ⊆ Aut C₅	120	4+	C5:1(C2xD24)	480,324
C₅:₂(C₂xD₂₄) = C₂xD₁₂₀	φ: C₂xD₂₄/C₂xC₂₄ → C₂ ⊆ Aut C₅	240		C5:2(C2xD24)	480,868
C₅:₃(C₂xD₂₄) = C₂xC₅:D₂₄	φ: C₂xD₂₄/C₂xD₁₂ → C₂ ⊆ Aut C₅	240		C5:3(C2xD24)	480,378

׿

x

:

Z

F

o

wr

Q

<