Extensions 1→N→G→Q→1 with N=D₄ and Q=C₅×Dic₃

Direct product G=N×Q with N=D₄ and Q=C₅×Dic₃

		d	ρ	Label	ID
C₅×D₄×Dic₃		240		C5xD4xDic3	480,813

Semidirect products G=N:Q with N=D₄ and Q=C₅×Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁(C₅×Dic₃) = C₅×D₄⋊Dic₃	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Out D₄	240		D4:1(C5xDic3)	480,151
D₄⋊₂(C₅×Dic₃) = C₅×Q₈⋊₃Dic₃	φ: C₅×Dic₃/C₃₀ → C₂ ⊆ Out D₄	120	4	D4:2(C5xDic3)	480,156

Non-split extensions G=N.Q with N=D₄ and Q=C₅×Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₅×Dic₃) = C₅×D₄.Dic₃	φ: trivial image	240	4	D4.(C5xDic3)	480,827

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Extensions 1→N→G→Q→1 with N=D4 and Q=C5×Dic3