Extensions 1→N→G→Q→1 with N=S₃×C₆ and Q=Dic₃

Direct product G=N×Q with N=S₃×C₆ and Q=Dic₃

		d	ρ	Label	ID
S₃×C₆×Dic₃		48		S3xC6xDic3	432,651

Semidirect products G=N:Q with N=S₃×C₆ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆)⋊₁Dic₃ = C₃×D₆⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out S₃×C₆	48		(S3xC6):1Dic3	432,426
(S₃×C₆)⋊₂Dic₃ = C₆².₇₇D₆	φ: Dic₃/C₆ → C₂ ⊆ Out S₃×C₆	144		(S3xC6):2Dic3	432,449
(S₃×C₆)⋊₃Dic₃ = C₂×S₃×C₃⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out S₃×C₆	144		(S3xC6):3Dic3	432,674

Non-split extensions G=N.Q with N=S₃×C₆ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₆).₁Dic₃ = S₃×C₉⋊C₈	φ: Dic₃/C₆ → C₂ ⊆ Out S₃×C₆	144	4	(S3xC6).1Dic3	432,66
(S₃×C₆).₂Dic₃ = D₆.Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out S₃×C₆	144	4	(S3xC6).2Dic3	432,67
(S₃×C₆).₃Dic₃ = D₆⋊Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out S₃×C₆	144		(S3xC6).3Dic3	432,93
(S₃×C₆).₄Dic₃ = C₂×S₃×Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out S₃×C₆	144		(S3xC6).4Dic3	432,308
(S₃×C₆).₅Dic₃ = C₃×D₆.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out S₃×C₆	48	4	(S3xC6).5Dic3	432,416
(S₃×C₆).₆Dic₃ = S₃×C₃²⋊₄C₈	φ: Dic₃/C₆ → C₂ ⊆ Out S₃×C₆	144		(S3xC6).6Dic3	432,430
(S₃×C₆).₇Dic₃ = C₃³⋊₇M₄(2)	φ: Dic₃/C₆ → C₂ ⊆ Out S₃×C₆	144		(S3xC6).7Dic3	432,433
(S₃×C₆).₈Dic₃ = C₃×S₃×C₃⋊C₈	φ: trivial image	48	4	(S3xC6).8Dic3	432,414

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