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

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

		d	ρ	Label	ID
S₃×D₅⋊C₈		120	8	S3xD5:C8	480,986

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊C₈⋊₁S₃ = D₁₂⋊F₅	φ: S₃/C₃ → C₂ ⊆ Out D₅⋊C₈	120	8+	D5:C8:1S3	480,228
D₅⋊C₈⋊₂S₃ = D₁₂.₂F₅	φ: S₃/C₃ → C₂ ⊆ Out D₅⋊C₈	240	8-	D5:C8:2S3	480,987
D₅⋊C₈⋊₃S₃ = D₆₀.C₄	φ: S₃/C₃ → C₂ ⊆ Out D₅⋊C₈	240	8+	D5:C8:3S3	480,990
D₅⋊C₈⋊₄S₃ = C₅⋊C₈⋊D₆	φ: S₃/C₃ → C₂ ⊆ Out D₅⋊C₈	120	8	D5:C8:4S3	480,993

Non-split extensions G=N.Q with N=D₅⋊C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊C₈.₁S₃ = Dic₃₀⋊C₄	φ: S₃/C₃ → C₂ ⊆ Out D₅⋊C₈	120	8-	D5:C8.1S3	480,230
D₅⋊C₈.₂S₃ = C₃₀.₄C₄²	φ: S₃/C₃ → C₂ ⊆ Out D₅⋊C₈	120	8	D5:C8.2S3	480,226
D₅⋊C₈.₃S₃ = C₃₀.C₄²	φ: trivial image	120	8	D5:C8.3S3	480,224

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