Extensions 1→N→G→Q→1 with N=C₄×S₃ and Q=F₅

Direct product G=N×Q with N=C₄×S₃ and Q=F₅

		d	ρ	Label	ID
C₄×S₃×F₅		60	8	C4xS3xF5	480,994

Semidirect products G=N:Q with N=C₄×S₃ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃)⋊₁F₅ = C₄⋊F₅⋊₃S₃	φ: F₅/D₅ → C₂ ⊆ Out C₄×S₃	120	8	(C4xS3):1F5	480,983
(C₄×S₃)⋊₂F₅ = S₃×C₄⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out C₄×S₃	60	8	(C4xS3):2F5	480,996
(C₄×S₃)⋊₃F₅ = (C₄×S₃)⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out C₄×S₃	120	8	(C4xS3):3F5	480,985

Non-split extensions G=N.Q with N=C₄×S₃ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×S₃).₁F₅ = S₃×C₄.F₅	φ: F₅/D₅ → C₂ ⊆ Out C₄×S₃	120	8	(C4xS3).1F5	480,988
(C₄×S₃).₂F₅ = D₁₅⋊M₄(2)	φ: F₅/D₅ → C₂ ⊆ Out C₄×S₃	120	8	(C4xS3).2F5	480,991
(C₄×S₃).₃F₅ = C₁₅⋊M₅(2)	φ: F₅/D₅ → C₂ ⊆ Out C₄×S₃	240	8	(C4xS3).3F5	480,241
(C₄×S₃).₄F₅ = C₅⋊C₈⋊D₆	φ: F₅/D₅ → C₂ ⊆ Out C₄×S₃	120	8	(C4xS3).4F5	480,993
(C₄×S₃).₅F₅ = S₃×C₅⋊C₁₆	φ: trivial image	240	8	(C4xS3).5F5	480,239
(C₄×S₃).₆F₅ = S₃×D₅⋊C₈	φ: trivial image	120	8	(C4xS3).6F5	480,986

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