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

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

		d	ρ	Label	ID
C₃×D₄×F₅		60	8	C3xD4xF5	480,1054

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁(C₃×F₅) = C₃×D₂₀⋊C₄	φ: C₃×F₅/C₃×D₅ → C₂ ⊆ Out D₄	120	8	D4:1(C3xF5)	480,287
D₄⋊₂(C₃×F₅) = C₃×D₄⋊F₅	φ: C₃×F₅/C₃×D₅ → C₂ ⊆ Out D₄	120	8	D4:2(C3xF5)	480,288

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃×F₅) = C₃×D₄.F₅	φ: trivial image	240	8	D4.(C3xF5)	480,1053

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