Extensions 1→N→G→Q→1 with N=C₅ and Q=D₈.S₃

Direct product G=N×Q with N=C₅ and Q=D₈.S₃

		d	ρ	Label	ID
C₅×D₈.S₃		240	4	C5xD8.S3	480,146

Semidirect products G=N:Q with N=C₅ and Q=D₈.S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₈.S₃) = D₄₀.S₃	φ: D₈.S₃/C₃⋊C₁₆ → C₂ ⊆ Aut C₅	240	4-	C5:1(D8.S3)	480,18
C₅⋊₂(D₈.S₃) = C₄₀.D₆	φ: D₈.S₃/Dic₁₂ → C₂ ⊆ Aut C₅	240	4	C5:2(D8.S3)	480,16
C₅⋊₃(D₈.S₃) = D₈.D₁₅	φ: D₈.S₃/C₃×D₈ → C₂ ⊆ Aut C₅	240	4-	C5:3(D8.S3)	480,187

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁