Extensions 1→N→G→Q→1 with N=C₅×D₄⋊₂S₃ and Q=C₂

Direct product G=N×Q with N=C₅×D₄⋊₂S₃ and Q=C₂

		d	ρ	Label	ID
C₁₀×D₄⋊₂S₃		240		C10xD4:2S3	480,1155

Semidirect products G=N:Q with N=C₅×D₄⋊₂S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄⋊₂S₃)⋊₁C₂ = D₆₀.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄⋊₂S₃	120	8+	(C5xD4:2S3):1C2	480,556
(C₅×D₄⋊₂S₃)⋊₂C₂ = D₂₀.₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄⋊₂S₃	240	8-	(C5xD4:2S3):2C2	480,569
(C₅×D₄⋊₂S₃)⋊₃C₂ = C₆₀.₁₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄⋊₂S₃	240	8+	(C5xD4:2S3):3C2	480,571
(C₅×D₄⋊₂S₃)⋊₄C₂ = C₁₅⋊2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄⋊₂S₃	240	8-	(C5xD4:2S3):4C2	480,1096
(C₅×D₄⋊₂S₃)⋊₅C₂ = D₅×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄⋊₂S₃	120	8-	(C5xD4:2S3):5C2	480,1098
(C₅×D₄⋊₂S₃)⋊₆C₂ = D₃₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄⋊₂S₃	120	8+	(C5xD4:2S3):6C2	480,1100
(C₅×D₄⋊₂S₃)⋊₇C₂ = D₂₀⋊₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄⋊₂S₃	120	8+	(C5xD4:2S3):7C2	480,1102
(C₅×D₄⋊₂S₃)⋊₈C₂ = C₅×D₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄⋊₂S₃	120	4	(C5xD4:2S3):8C2	480,790
(C₅×D₄⋊₂S₃)⋊₉C₂ = C₅×D₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄⋊₂S₃	240	4	(C5xD4:2S3):9C2	480,791
(C₅×D₄⋊₂S₃)⋊₁₀C₂ = C₅×Q₈.₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄⋊₂S₃	240	4	(C5xD4:2S3):10C2	480,795
(C₅×D₄⋊₂S₃)⋊₁₁C₂ = C₅×D₄⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄⋊₂S₃	120	4	(C5xD4:2S3):11C2	480,1156
(C₅×D₄⋊₂S₃)⋊₁₂C₂ = C₅×Q₈○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄⋊₂S₃	240	4	(C5xD4:2S3):12C2	480,1162
(C₅×D₄⋊₂S₃)⋊₁₃C₂ = C₅×S₃×C₄○D₄	φ: trivial image	120	4	(C5xD4:2S3):13C2	480,1160

Non-split extensions G=N.Q with N=C₅×D₄⋊₂S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₄⋊₂S₃).₁C₂ = C₆₀.₁₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄⋊₂S₃	240	8-	(C5xD4:2S3).1C2	480,562
(C₅×D₄⋊₂S₃).₂C₂ = C₅×D₄.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₄⋊₂S₃	240	4	(C5xD4:2S3).2C2	480,794

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