Extensions 1→N→G→Q→1 with N=Dic₅ and Q=S₃

Direct product G=N×Q with N=Dic₅ and Q=S₃

		d	ρ	Label	ID
S₃×Dic₅		60	4-	S3xDic5	120,9

Semidirect products G=N:Q with N=Dic₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊S₃ = C₅⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out Dic₅	60	4+	Dic5:S3	120,13
Dic₅⋊₂S₃ = D₃₀.C₂	φ: trivial image	60	4+	Dic5:2S3	120,10

Non-split extensions G=N.Q with N=Dic₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁S₃ = C₁₅⋊Q₈	φ: S₃/C₃ → C₂ ⊆ Out Dic₅	120	4-	Dic5.1S3	120,14
Dic₅.₂S₃ = C₁₅⋊C₈	φ: S₃/C₃ → C₂ ⊆ Out Dic₅	120	4	Dic5.2S3	120,7

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Extensions 1→N→G→Q→1 with N=Dic5 and Q=S3