Extensions 1→N→G→Q→1 with N=C₅ and Q=D₈⋊₃S₃

Direct product G=N×Q with N=C₅ and Q=D₈⋊₃S₃

		d	ρ	Label	ID
C₅×D₈⋊₃S₃		240	4	C5xD8:3S3	480,791

Semidirect products G=N:Q with N=C₅ and Q=D₈⋊₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₈⋊₃S₃) = D₄₀⋊₇S₃	φ: D₈⋊₃S₃/S₃×C₈ → C₂ ⊆ Aut C₅	240	4-	C5:1(D8:3S3)	480,349
C₅⋊₂(D₈⋊₃S₃) = D₄₀⋊₅S₃	φ: D₈⋊₃S₃/Dic₁₂ → C₂ ⊆ Aut C₅	240	4	C5:2(D8:3S3)	480,353
C₅⋊₃(D₈⋊₃S₃) = D₂₀.₁₀D₆	φ: D₈⋊₃S₃/D₄.S₃ → C₂ ⊆ Aut C₅	240	8-	C5:3(D8:3S3)	480,573
C₅⋊₄(D₈⋊₃S₃) = D₈⋊₃D₁₅	φ: D₈⋊₃S₃/C₃×D₈ → C₂ ⊆ Aut C₅	240	4-	C5:4(D8:3S3)	480,877
C₅⋊₅(D₈⋊₃S₃) = D₂₀.₂₄D₆	φ: D₈⋊₃S₃/D₄⋊₂S₃ → C₂ ⊆ Aut C₅	240	8-	C5:5(D8:3S3)	480,569

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁