Extensions 1→N→G→Q→1 with N=C₈⋊S₃ and Q=D₅

Direct product G=N×Q with N=C₈⋊S₃ and Q=D₅

		d	ρ	Label	ID
D₅×C₈⋊S₃		120	4	D5xC8:S3	480,320

Semidirect products G=N:Q with N=C₈⋊S₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊S₃⋊₁D₅ = C₄₀⋊₁D₆	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊S₃	120	4+	C8:S3:1D5	480,329
C₈⋊S₃⋊₂D₅ = C₄₀.₂D₆	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊S₃	240	4-	C8:S3:2D5	480,350
C₈⋊S₃⋊₃D₅ = D₄₀⋊S₃	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊S₃	120	4	C8:S3:3D5	480,330
C₈⋊S₃⋊₄D₅ = Dic₂₀⋊S₃	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊S₃	240	4	C8:S3:4D5	480,339
C₈⋊S₃⋊₅D₅ = C₄₀⋊D₆	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊S₃	120	4	C8:S3:5D5	480,322
C₈⋊S₃⋊₆D₅ = C₄₀.₃₅D₆	φ: D₅/C₅ → C₂ ⊆ Out C₈⋊S₃	240	4	C8:S3:6D5	480,344
C₈⋊S₃⋊₇D₅ = C₄₀.₃₄D₆	φ: trivial image	240	4	C8:S3:7D5	480,342

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁