Extensions 1→N→G→Q→1 with N=C₂xDic₅ and Q=S₃

Direct product G=NxQ with N=C₂xDic₅ and Q=S₃

		d	ρ	Label	ID
C₂xS₃xDic₅		120		C2xS3xDic5	240,142

Semidirect products G=N:Q with N=C₂xDic₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₅):₁S₃ = D₆:Dic₅	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₅	120		(C2xDic5):1S3	240,27
(C₂xDic₅):₂S₃ = D₃₀:₄C₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₅	120		(C2xDic5):2S3	240,28
(C₂xDic₅):₃S₃ = Dic₃.D₁₀	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₅	120	4	(C2xDic5):3S3	240,143
(C₂xDic₅):₄S₃ = C₂xC₅:D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₅	120		(C2xDic5):4S3	240,147
(C₂xDic₅):₅S₃ = C₂xD₃₀.C₂	φ: trivial image	120		(C2xDic5):5S3	240,144

Non-split extensions G=N.Q with N=C₂xDic₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₅).₁S₃ = C₃₀.Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₅	240		(C2xDic5).1S3	240,29
(C₂xDic₅).₂S₃ = Dic₁₅:₅C₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₅	240		(C2xDic5).2S3	240,30
(C₂xDic₅).₃S₃ = C₆.Dic₁₀	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₅	240		(C2xDic5).3S3	240,31
(C₂xDic₅).₄S₃ = C₂xC₁₅:Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₅	240		(C2xDic5).4S3	240,148
(C₂xDic₅).₅S₃ = C₂xC₁₅:C₈	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₅	240		(C2xDic5).5S3	240,122
(C₂xDic₅).₆S₃ = C₁₅:₈M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₂xDic₅	120	4	(C2xDic5).6S3	240,123
(C₂xDic₅).₇S₃ = Dic₃xDic₅	φ: trivial image	240		(C2xDic5).7S3	240,25

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