Extensions 1→N→G→Q→1 with N=Dic₅ and Q=S₄

Direct product G=N×Q with N=Dic₅ and Q=S₄

		d	ρ	Label	ID
Dic₅×S₄		60	6-	Dic5xS4	480,976

Semidirect products G=N:Q with N=Dic₅ and Q=S₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊S₄ = Dic₅⋊S₄	φ: S₄/A₄ → C₂ ⊆ Out Dic₅	60	6	Dic5:S4	480,978
Dic₅⋊₂S₄ = Dic₅⋊₂S₄	φ: trivial image	60	6	Dic5:2S4	480,977

Non-split extensions G=N.Q with N=Dic₅ and Q=S₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁S₄ = CSU₂(𝔽₃)⋊D₅	φ: S₄/A₄ → C₂ ⊆ Out Dic₅	160	4	Dic5.1S4	480,967
Dic₅.₂S₄ = GL₂(𝔽₃)⋊D₅	φ: S₄/A₄ → C₂ ⊆ Out Dic₅	80	4+	Dic5.2S4	480,970
Dic₅.₃S₄ = A₄⋊Dic₁₀	φ: S₄/A₄ → C₂ ⊆ Out Dic₅	120	6-	Dic5.3S4	480,975
Dic₅.₄S₄ = C₅⋊U₂(𝔽₃)	φ: S₄/A₄ → C₂ ⊆ Out Dic₅	120	8+	Dic5.4S4	480,961
Dic₅.₅S₄ = Dic₅.S₄	φ: S₄/A₄ → C₂ ⊆ Out Dic₅	120	12-	Dic5.5S4	480,963
Dic₅.₆S₄ = Dic₅.₆S₄	φ: trivial image	80	4	Dic5.6S4	480,968
Dic₅.₇S₄ = Dic₅.₇S₄	φ: trivial image	80	4+	Dic5.7S4	480,969

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