Extensions 1→N→G→Q→1 with N=S₃xC₆ and Q=Dic₃

Direct product G=NxQ with N=S₃xC₆ and Q=Dic₃

		d	ρ	Label	ID
S₃xC₆xDic₃		48		S3xC6xDic3	432,651

Semidirect products G=N:Q with N=S₃xC₆ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₆):₁Dic₃ = C₃xD₆:Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out S₃xC₆	48		(S3xC6):1Dic3	432,426
(S₃xC₆):₂Dic₃ = C₆².₇₇D₆	φ: Dic₃/C₆ → C₂ ⊆ Out S₃xC₆	144		(S3xC6):2Dic3	432,449
(S₃xC₆):₃Dic₃ = C₂xS₃xC₃:Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out S₃xC₆	144		(S3xC6):3Dic3	432,674

Non-split extensions G=N.Q with N=S₃xC₆ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₆).₁Dic₃ = S₃xC₉:C₈	φ: Dic₃/C₆ → C₂ ⊆ Out S₃xC₆	144	4	(S3xC6).1Dic3	432,66
(S₃xC₆).₂Dic₃ = D₆.Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out S₃xC₆	144	4	(S3xC6).2Dic3	432,67
(S₃xC₆).₃Dic₃ = D₆:Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out S₃xC₆	144		(S3xC6).3Dic3	432,93
(S₃xC₆).₄Dic₃ = C₂xS₃xDic₉	φ: Dic₃/C₆ → C₂ ⊆ Out S₃xC₆	144		(S3xC6).4Dic3	432,308
(S₃xC₆).₅Dic₃ = C₃xD₆.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out S₃xC₆	48	4	(S3xC6).5Dic3	432,416
(S₃xC₆).₆Dic₃ = S₃xC₃²:₄C₈	φ: Dic₃/C₆ → C₂ ⊆ Out S₃xC₆	144		(S3xC6).6Dic3	432,430
(S₃xC₆).₇Dic₃ = C₃³:₇M₄(2)	φ: Dic₃/C₆ → C₂ ⊆ Out S₃xC₆	144		(S3xC6).7Dic3	432,433
(S₃xC₆).₈Dic₃ = C₃xS₃xC₃:C₈	φ: trivial image	48	4	(S3xC6).8Dic3	432,414

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