Extensions 1→N→G→Q→1 with N=C₃×Dic₃ and Q=Dic₃

Direct product G=N×Q with N=C₃×Dic₃ and Q=Dic₃

		d	ρ	Label	ID
C₃×Dic₃²		48		C3xDic3^2	432,425

Semidirect products G=N:Q with N=C₃×Dic₃ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₃)⋊₁Dic₃ = C₆².₈₀D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Dic₃	144		(C3xDic3):1Dic3	432,452
(C₃×Dic₃)⋊₂Dic₃ = Dic₃×C₃⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Dic₃	144		(C3xDic3):2Dic3	432,448
(C₃×Dic₃)⋊₃Dic₃ = C₃×Dic₃⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Dic₃	48		(C3xDic3):3Dic3	432,428

Non-split extensions G=N.Q with N=C₃×Dic₃ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₃).₁Dic₃ = D₆.Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Dic₃	144	4	(C3xDic3).1Dic3	432,67
(C₃×Dic₃).₂Dic₃ = Dic₃⋊Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Dic₃	144		(C3xDic3).2Dic3	432,90
(C₃×Dic₃).₃Dic₃ = C₃³⋊₇M₄(2)	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Dic₃	144		(C3xDic3).3Dic3	432,433
(C₃×Dic₃).₄Dic₃ = S₃×C₉⋊C₈	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Dic₃	144	4	(C3xDic3).4Dic3	432,66
(C₃×Dic₃).₅Dic₃ = Dic₃×Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Dic₃	144		(C3xDic3).5Dic3	432,87
(C₃×Dic₃).₆Dic₃ = S₃×C₃²⋊₄C₈	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Dic₃	144		(C3xDic3).6Dic3	432,430
(C₃×Dic₃).₇Dic₃ = C₃×D₆.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×Dic₃	48	4	(C3xDic3).7Dic3	432,416
(C₃×Dic₃).₈Dic₃ = C₃×S₃×C₃⋊C₈	φ: trivial image	48	4	(C3xDic3).8Dic3	432,414

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