Extensions 1→N→G→Q→1 with N=Dic₃ and Q=Dic₆

Direct product G=N×Q with N=Dic₃ and Q=Dic₆

		d	ρ	Label	ID
Dic₃×Dic₆		96		Dic3xDic6	288,490

Semidirect products G=N:Q with N=Dic₃ and Q=Dic₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁Dic₆ = C₆².₉C₂³	φ: Dic₆/Dic₃ → C₂ ⊆ Out Dic₃	96		Dic3:1Dic6	288,487
Dic₃⋊₂Dic₆ = C₆².₁₀C₂³	φ: Dic₆/Dic₃ → C₂ ⊆ Out Dic₃	96		Dic3:2Dic6	288,488
Dic₃⋊₃Dic₆ = Dic₃⋊Dic₆	φ: Dic₆/C₁₂ → C₂ ⊆ Out Dic₃	96		Dic3:3Dic6	288,514
Dic₃⋊₄Dic₆ = C₁₂⋊₃Dic₆	φ: Dic₆/C₁₂ → C₂ ⊆ Out Dic₃	96		Dic3:4Dic6	288,566
Dic₃⋊₅Dic₆ = Dic₃⋊₅Dic₆	φ: trivial image	96		Dic3:5Dic6	288,485
Dic₃⋊₆Dic₆ = Dic₃⋊₆Dic₆	φ: trivial image	96		Dic3:6Dic6	288,492

Non-split extensions G=N.Q with N=Dic₃ and Q=Dic₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁Dic₆ = Dic₃.Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Out Dic₃	96		Dic3.1Dic6	288,493
Dic₃.₂Dic₆ = C₆².₁₆C₂³	φ: Dic₆/Dic₃ → C₂ ⊆ Out Dic₃	96		Dic3.2Dic6	288,494
Dic₃.₃Dic₆ = C₆².₃₇C₂³	φ: Dic₆/C₁₂ → C₂ ⊆ Out Dic₃	96		Dic3.3Dic6	288,515

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁