Extensions 1→N→G→Q→1 with N=D₁₂ and Q=D₉

Direct product G=N×Q with N=D₁₂ and Q=D₉

		d	ρ	Label	ID
D₉×D₁₂		72	4+	D9xD12	432,292

Semidirect products G=N:Q with N=D₁₂ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁D₉ = C₉⋊D₂₄	φ: D₉/C₉ → C₂ ⊆ Out D₁₂	72	4+	D12:1D9	432,69
D₁₂⋊₂D₉ = D₃₆⋊S₃	φ: D₉/C₉ → C₂ ⊆ Out D₁₂	144	4	D12:2D9	432,68
D₁₂⋊₃D₉ = D₁₂⋊D₉	φ: D₉/C₉ → C₂ ⊆ Out D₁₂	72	4	D12:3D9	432,286
D₁₂⋊₄D₉ = C₃₆⋊D₆	φ: D₉/C₉ → C₂ ⊆ Out D₁₂	72	4	D12:4D9	432,293
D₁₂⋊₅D₉ = D₁₂⋊₅D₉	φ: trivial image	144	4-	D12:5D9	432,285

Non-split extensions G=N.Q with N=D₁₂ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁D₉ = C₃₆.D₆	φ: D₉/C₉ → C₂ ⊆ Out D₁₂	144	4-	D12.1D9	432,71
D₁₂.₂D₉ = D₁₂.D₉	φ: D₉/C₉ → C₂ ⊆ Out D₁₂	144	4	D12.2D9	432,70

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁