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Extensions 1→N→G→Q→1 with N=C₃⋊D₄ and Q=F₅

Direct product G=N×Q with N=C₃⋊D₄ and Q=F₅

		d	ρ	Label	ID
F₅×C₃⋊D₄		60	8	F5xC3:D4	480,1010

Semidirect products G=N:Q with N=C₃⋊D₄ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄⋊F₅ = C₃⋊D₄⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out C₃⋊D₄	60	8	C3:D4:F5	480,1012

Non-split extensions G=N.Q with N=C₃⋊D₄ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄.F₅ = C₁₅⋊Q₈.C₄	φ: F₅/D₅ → C₂ ⊆ Out C₃⋊D₄	240	8	C3:D4.F5	480,1005
C₃⋊D₄.₂F₅ = C₅⋊C₈.D₆	φ: trivial image	240	8	C3:D4.2F5	480,1003

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Extensions 1→N→G→Q→1 with N=C3⋊D4 and Q=F5