Extensions 1→N→G→Q→1 with N=C₄×S₃ and Q=D₅

Direct product G=N×Q with N=C₄×S₃ and Q=D₅

		d	ρ	Label	ID
C₄×S₃×D₅		60	4	C4xS3xD5	240,135

Semidirect products G=N:Q with N=C₄×S₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁D₅ = D₂₀⋊₅S₃	φ: D₅/C₅ → C₂ ⊆ Out C₄×S₃	120	4-	(C4xS3):1D5	240,126
(C₄×S₃)⋊₂D₅ = D₆₀⋊C₂	φ: D₅/C₅ → C₂ ⊆ Out C₄×S₃	120	4+	(C4xS3):2D5	240,130
(C₄×S₃)⋊₃D₅ = S₃×D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×S₃	60	4+	(C4xS3):3D5	240,137
(C₄×S₃)⋊₄D₅ = D₆.D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×S₃	120	4	(C4xS3):4D5	240,132

Non-split extensions G=N.Q with N=C₄×S₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁D₅ = S₃×Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×S₃	120	4-	(C4xS3).1D5	240,128
(C₄×S₃).₂D₅ = D₆.Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₄×S₃	120	4	(C4xS3).2D5	240,11
(C₄×S₃).₃D₅ = S₃×C₅⋊₂C₈	φ: trivial image	120	4	(C4xS3).3D5	240,8

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