Extensions 1→N→G→Q→1 with N=C₂×Dic₅ and Q=S₃

Direct product G=N×Q with N=C₂×Dic₅ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×Dic₅		120		C2xS3xDic5	240,142

Semidirect products G=N:Q with N=C₂×Dic₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₅)⋊₁S₃ = D₆⋊Dic₅	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₅	120		(C2xDic5):1S3	240,27
(C₂×Dic₅)⋊₂S₃ = D₃₀⋊₄C₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₅	120		(C2xDic5):2S3	240,28
(C₂×Dic₅)⋊₃S₃ = Dic₃.D₁₀	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₅	120	4	(C2xDic5):3S3	240,143
(C₂×Dic₅)⋊₄S₃ = C₂×C₅⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₅	120		(C2xDic5):4S3	240,147
(C₂×Dic₅)⋊₅S₃ = C₂×D₃₀.C₂	φ: trivial image	120		(C2xDic5):5S3	240,144

Non-split extensions G=N.Q with N=C₂×Dic₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₅).₁S₃ = C₃₀.Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₅	240		(C2xDic5).1S3	240,29
(C₂×Dic₅).₂S₃ = Dic₁₅⋊₅C₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₅	240		(C2xDic5).2S3	240,30
(C₂×Dic₅).₃S₃ = C₆.Dic₁₀	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₅	240		(C2xDic5).3S3	240,31
(C₂×Dic₅).₄S₃ = C₂×C₁₅⋊Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₅	240		(C2xDic5).4S3	240,148
(C₂×Dic₅).₅S₃ = C₂×C₁₅⋊C₈	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₅	240		(C2xDic5).5S3	240,122
(C₂×Dic₅).₆S₃ = C₁₅⋊₈M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₅	120	4	(C2xDic5).6S3	240,123
(C₂×Dic₅).₇S₃ = Dic₃×Dic₅	φ: trivial image	240		(C2xDic5).7S3	240,25

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