Extensions 1→N→G→Q→1 with N=C₂×Dic₉ and Q=S₃

Direct product G=N×Q with N=C₂×Dic₉ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×Dic₉		144		C2xS3xDic9	432,308

Semidirect products G=N:Q with N=C₂×Dic₉ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₉)⋊₁S₃ = C₆.₁₈D₃₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₉	72		(C2xDic9):1S3	432,92
(C₂×Dic₉)⋊₂S₃ = D₆⋊Dic₉	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₉	144		(C2xDic9):2S3	432,93
(C₂×Dic₉)⋊₃S₃ = Dic₃.D₁₈	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₉	72	4	(C2xDic9):3S3	432,309
(C₂×Dic₉)⋊₄S₃ = C₂×C₉⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₉	72		(C2xDic9):4S3	432,312
(C₂×Dic₉)⋊₅S₃ = C₂×C₁₈.D₆	φ: trivial image	72		(C2xDic9):5S3	432,306

Non-split extensions G=N.Q with N=C₂×Dic₉ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₉).₁S₃ = Dic₉⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₉	144		(C2xDic9).1S3	432,88
(C₂×Dic₉).₂S₃ = C₁₈.Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₉	144		(C2xDic9).2S3	432,89
(C₂×Dic₉).₃S₃ = Dic₃⋊Dic₉	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₉	144		(C2xDic9).3S3	432,90
(C₂×Dic₉).₄S₃ = C₂×C₉⋊Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×Dic₉	144		(C2xDic9).4S3	432,303
(C₂×Dic₉).₅S₃ = Dic₃×Dic₉	φ: trivial image	144		(C2xDic9).5S3	432,87

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