Extensions 1→N→G→Q→1 with N=C₃×D₄ and Q=Dic₃

Direct product G=N×Q with N=C₃×D₄ and Q=Dic₃

		d	ρ	Label	ID
C₃×D₄×Dic₃		48		C3xD4xDic3	288,705

Semidirect products G=N:Q with N=C₃×D₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄)⋊₁Dic₃ = C₆².₁₁₆D₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×D₄	144		(C3xD4):1Dic3	288,307
(C₃×D₄)⋊₂Dic₃ = C₆².₃₉D₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×D₄	72		(C3xD4):2Dic3	288,312
(C₃×D₄)⋊₃Dic₃ = D₄×C₃⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×D₄	144		(C3xD4):3Dic3	288,791
(C₃×D₄)⋊₄Dic₃ = C₃×D₄⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×D₄	48		(C3xD4):4Dic3	288,266
(C₃×D₄)⋊₅Dic₃ = C₃×Q₈⋊₃Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×D₄	48	4	(C3xD4):5Dic3	288,271

Non-split extensions G=N.Q with N=C₃×D₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄).₁Dic₃ = D₄⋊Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×D₄	144		(C3xD4).1Dic3	288,40
(C₃×D₄).₂Dic₃ = Q₈⋊₃Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×D₄	72	4	(C3xD4).2Dic3	288,44
(C₃×D₄).₃Dic₃ = D₄×Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×D₄	144		(C3xD4).3Dic3	288,144
(C₃×D₄).₄Dic₃ = D₄.Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×D₄	144	4	(C3xD4).4Dic3	288,158
(C₃×D₄).₅Dic₃ = D₄.(C₃⋊Dic₃)	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×D₄	144		(C3xD4).5Dic3	288,805
(C₃×D₄).₆Dic₃ = C₃×D₄.Dic₃	φ: trivial image	48	4	(C3xD4).6Dic3	288,719

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁