Extensions 1→N→G→Q→1 with N=C₅×C₈⋊S₃ and Q=C₂

Direct product G=N×Q with N=C₅×C₈⋊S₃ and Q=C₂

		d	ρ	Label	ID
C₁₀×C₈⋊S₃		240		C10xC8:S3	480,779

Semidirect products G=N:Q with N=C₅×C₈⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₈⋊S₃)⋊₁C₂ = C₄₀⋊₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈⋊S₃	120	4+	(C5xC8:S3):1C2	480,329
(C₅×C₈⋊S₃)⋊₂C₂ = C₄₀.₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈⋊S₃	240	4-	(C5xC8:S3):2C2	480,350
(C₅×C₈⋊S₃)⋊₃C₂ = D₄₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈⋊S₃	120	4	(C5xC8:S3):3C2	480,330
(C₅×C₈⋊S₃)⋊₄C₂ = Dic₂₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈⋊S₃	240	4	(C5xC8:S3):4C2	480,339
(C₅×C₈⋊S₃)⋊₅C₂ = D₅×C₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈⋊S₃	120	4	(C5xC8:S3):5C2	480,320
(C₅×C₈⋊S₃)⋊₆C₂ = C₄₀⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈⋊S₃	120	4	(C5xC8:S3):6C2	480,322
(C₅×C₈⋊S₃)⋊₇C₂ = C₄₀.₃₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈⋊S₃	240	4	(C5xC8:S3):7C2	480,342
(C₅×C₈⋊S₃)⋊₈C₂ = C₄₀.₃₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈⋊S₃	240	4	(C5xC8:S3):8C2	480,344
(C₅×C₈⋊S₃)⋊₉C₂ = C₅×Q₈⋊₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈⋊S₃	120	4	(C5xC8:S3):9C2	480,793
(C₅×C₈⋊S₃)⋊₁₀C₂ = C₅×D₄.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈⋊S₃	240	4	(C5xC8:S3):10C2	480,794
(C₅×C₈⋊S₃)⋊₁₁C₂ = C₅×D₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈⋊S₃	120	4	(C5xC8:S3):11C2	480,790
(C₅×C₈⋊S₃)⋊₁₂C₂ = C₅×Q₁₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈⋊S₃	240	4	(C5xC8:S3):12C2	480,797
(C₅×C₈⋊S₃)⋊₁₃C₂ = C₅×S₃×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈⋊S₃	120	4	(C5xC8:S3):13C2	480,785
(C₅×C₈⋊S₃)⋊₁₄C₂ = C₅×D₁₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₈⋊S₃	240	4	(C5xC8:S3):14C2	480,786
(C₅×C₈⋊S₃)⋊₁₅C₂ = C₅×C₈○D₁₂	φ: trivial image	240	2	(C5xC8:S3):15C2	480,780

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