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

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

		d	ρ	Label	ID
C₅×S₃×D₈		120	4	C5xS3xD8	480,789

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₈)⋊₁S₃ = C₁₅⋊₇D₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₅×D₈	240	4+	(C5xD8):1S3	480,186
(C₅×D₈)⋊₂S₃ = D₈×D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×D₈	120	4+	(C5xD8):2S3	480,875
(C₅×D₈)⋊₃S₃ = D₈⋊₃D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×D₈	240	4-	(C5xD8):3S3	480,877
(C₅×D₈)⋊₄S₃ = D₈⋊D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×D₈	120	4	(C5xD8):4S3	480,876
(C₅×D₈)⋊₅S₃ = C₅×C₃⋊D₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₅×D₈	240	4	(C5xD8):5S3	480,145
(C₅×D₈)⋊₆S₃ = C₅×D₈⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₅×D₈	120	4	(C5xD8):6S3	480,790
(C₅×D₈)⋊₇S₃ = C₅×D₈⋊₃S₃	φ: trivial image	240	4	(C5xD8):7S3	480,791

Non-split extensions G=N.Q with N=C₅×D₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₈).₁S₃ = D₈.D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×D₈	240	4-	(C5xD8).1S3	480,187
(C₅×D₈).₂S₃ = C₅×D₈.S₃	φ: S₃/C₃ → C₂ ⊆ Out C₅×D₈	240	4	(C5xD8).2S3	480,146

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