Extensions 1→N→G→Q→1 with N=C₅ and Q=D₂₄

Direct product G=N×Q with N=C₅ and Q=D₂₄

		d	ρ	Label	ID
C₅×D₂₄		120	2	C5xD24	240,52

Semidirect products G=N:Q with N=C₅ and Q=D₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁D₂₄ = D₁₂₀	φ: D₂₄/C₂₄ → C₂ ⊆ Aut C₅	120	2+	C5:1D24	240,68
C₅⋊₂D₂₄ = C₅⋊D₂₄	φ: D₂₄/D₁₂ → C₂ ⊆ Aut C₅	120	4+	C5:2D24	240,15

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁