Extensions 1→N→G→Q→1 with N=Dic₆ and Q=D₉

Direct product G=N×Q with N=Dic₆ and Q=D₉

		d	ρ	Label	ID
D₉×Dic₆		144	4-	D9xDic6	432,280

Semidirect products G=N:Q with N=Dic₆ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁D₉ = C₁₈.D₁₂	φ: D₉/C₉ → C₂ ⊆ Out Dic₆	72	4+	Dic6:1D9	432,73
Dic₆⋊₂D₉ = Dic₆⋊D₉	φ: D₉/C₉ → C₂ ⊆ Out Dic₆	144	4	Dic6:2D9	432,72
Dic₆⋊₃D₉ = D₁₈.D₆	φ: D₉/C₉ → C₂ ⊆ Out Dic₆	72	4	Dic6:3D9	432,281
Dic₆⋊₄D₉ = Dic₁₈⋊S₃	φ: D₉/C₉ → C₂ ⊆ Out Dic₆	72	4	Dic6:4D9	432,283
Dic₆⋊₅D₉ = Dic₆⋊₅D₉	φ: trivial image	72	4+	Dic6:5D9	432,282

Non-split extensions G=N.Q with N=Dic₆ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁D₉ = C₉⋊Dic₁₂	φ: D₉/C₉ → C₂ ⊆ Out Dic₆	144	4-	Dic6.1D9	432,75
Dic₆.₂D₉ = C₁₂.D₁₈	φ: D₉/C₉ → C₂ ⊆ Out Dic₆	144	4	Dic6.2D9	432,74

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁