Extensions 1→N→G→Q→1 with N=C₂×Dic₃ and Q=Dic₃

Direct product G=N×Q with N=C₂×Dic₃ and Q=Dic₃

		d	ρ	Label	ID
C₂×Dic₃²		96		C2xDic3^2	288,602

Semidirect products G=N:Q with N=C₂×Dic₃ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃)⋊Dic₃ = C₆².₃₁D₄	φ: Dic₃/C₃ → C₄ ⊆ Out C₂×Dic₃	24	4	(C2xDic3):Dic3	288,228
(C₂×Dic₃)⋊₂Dic₃ = C₆².₆Q₈	φ: Dic₃/C₆ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3):2Dic3	288,227
(C₂×Dic₃)⋊₃Dic₃ = C₆².₉₇C₂³	φ: Dic₃/C₆ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3):3Dic3	288,603
(C₂×Dic₃)⋊₄Dic₃ = C₂×Dic₃⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3):4Dic3	288,613

Non-split extensions G=N.Q with N=C₂×Dic₃ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃).Dic₃ = C₁₂.₁₄D₁₂	φ: Dic₃/C₃ → C₄ ⊆ Out C₂×Dic₃	48	4	(C2xDic3).Dic3	288,208
(C₂×Dic₃).₂Dic₃ = C₃⋊C₈⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3).2Dic3	288,202
(C₂×Dic₃).₃Dic₃ = C₁₂.₇₇D₁₂	φ: Dic₃/C₆ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3).3Dic3	288,204
(C₂×Dic₃).₄Dic₃ = C₁₂.₈₁D₁₂	φ: Dic₃/C₆ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3).4Dic3	288,219
(C₂×Dic₃).₅Dic₃ = S₃×C₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₂×Dic₃	48	4	(C2xDic3).5Dic3	288,461
(C₂×Dic₃).₆Dic₃ = C₂×D₆.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₂×Dic₃	96		(C2xDic3).6Dic3	288,467
(C₂×Dic₃).₇Dic₃ = Dic₃×C₃⋊C₈	φ: trivial image	96		(C2xDic3).7Dic3	288,200
(C₂×Dic₃).₈Dic₃ = C₂×S₃×C₃⋊C₈	φ: trivial image	96		(C2xDic3).8Dic3	288,460

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