Extensions 1→N→G→Q→1 with N=D₂₀⋊₅S₃ and Q=C₂

Direct product G=N×Q with N=D₂₀⋊₅S₃ and Q=C₂

		d	ρ	Label	ID
C₂×D₂₀⋊₅S₃		240		C2xD20:5S3	480,1074

Semidirect products G=N:Q with N=D₂₀⋊₅S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀⋊₅S₃⋊₁C₂ = D₂₀.₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₅S₃	240	8-	D20:5S3:1C2	480,569
D₂₀⋊₅S₃⋊₂C₂ = D₂₀⋊₁₀D₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₅S₃	120	8-	D20:5S3:2C2	480,570
D₂₀⋊₅S₃⋊₃C₂ = D₂₀.₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₅S₃	240	8-	D20:5S3:3C2	480,593
D₂₀⋊₅S₃⋊₄C₂ = D₅×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₅S₃	120	8-	D20:5S3:4C2	480,1098
D₂₀⋊₅S₃⋊₅C₂ = D₂₀⋊₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₅S₃	120	8-	D20:5S3:5C2	480,1101
D₂₀⋊₅S₃⋊₆C₂ = D₂₀.₂₉D₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₅S₃	240	8-	D20:5S3:6C2	480,1104
D₂₀⋊₅S₃⋊₇C₂ = D₂₀⋊₁₆D₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₅S₃	120	8-	D20:5S3:7C2	480,1110
D₂₀⋊₅S₃⋊₈C₂ = D₄₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₅S₃	120	4	D20:5S3:8C2	480,330
D₂₀⋊₅S₃⋊₉C₂ = D₆.₁D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₅S₃	240	4	D20:5S3:9C2	480,348
D₂₀⋊₅S₃⋊₁₀C₂ = D₄₀⋊₇S₃	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₅S₃	240	4-	D20:5S3:10C2	480,349
D₂₀⋊₅S₃⋊₁₁C₂ = D₂₀.₃₉D₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₅S₃	240	4-	D20:5S3:11C2	480,1077
D₂₀⋊₅S₃⋊₁₂C₂ = D₂₀⋊₂₅D₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₅S₃	120	4	D20:5S3:12C2	480,1093
D₂₀⋊₅S₃⋊₁₃C₂ = S₃×C₄○D₂₀	φ: trivial image	120	4	D20:5S3:13C2	480,1091

Non-split extensions G=N.Q with N=D₂₀⋊₅S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀⋊₅S₃.₁C₂ = D₂₀.₂₈D₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₅S₃	240	8-	D20:5S3.1C2	480,594
D₂₀⋊₅S₃.₂C₂ = C₄₀.₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊₅S₃	240	4-	D20:5S3.2C2	480,350

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