Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃×Dic₅

Direct product G=N×Q with N=D₄ and Q=C₃×Dic₅

		d	ρ	Label	ID
C₃×D₄×Dic₅		240		C3xD4xDic5	480,727

Semidirect products G=N:Q with N=D₄ and Q=C₃×Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁(C₃×Dic₅) = C₃×D₄⋊Dic₅	φ: C₃×Dic₅/C₃₀ → C₂ ⊆ Out D₄	240		D4:1(C3xDic5)	480,110
D₄⋊₂(C₃×Dic₅) = C₃×D₄⋊₂Dic₅	φ: C₃×Dic₅/C₃₀ → C₂ ⊆ Out D₄	120	4	D4:2(C3xDic5)	480,115

Non-split extensions G=N.Q with N=D₄ and Q=C₃×Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃×Dic₅) = C₃×D₄.Dic₅	φ: trivial image	240	4	D4.(C3xDic5)	480,741

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Extensions 1→N→G→Q→1 with N=D4 and Q=C3×Dic5