Extensions 1→N→G→Q→1 with N=C₃:D₁₂ and Q=C₄

Direct product G=NxQ with N=C₃:D₁₂ and Q=C₄

		d	ρ	Label	ID
C₄xC₃:D₁₂		48		C4xC3:D12	288,551

Semidirect products G=N:Q with N=C₃:D₁₂ and Q=C₄

extension	φ:Q→Out N	d	Label	ID
C₃:D₁₂:₁C₄ = Dic₃:₄D₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₃:D₁₂	48	C3:D12:1C4	288,528
C₃:D₁₂:₂C₄ = C₆².₅₁C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₃:D₁₂	48	C3:D12:2C4	288,529
C₃:D₁₂:₃C₄ = C₆².₇₄C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₃:D₁₂	48	C3:D12:3C4	288,552

Non-split extensions G=N.Q with N=C₃:D₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:D₁₂.₁C₄ = C₂₄.₆₄D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃:D₁₂	48	4	C3:D12.1C4	288,452
C₃:D₁₂.₂C₄ = C₂₄.D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃:D₁₂	48	4	C3:D12.2C4	288,453
C₃:D₁₂.₃C₄ = C₂₄.₆₃D₆	φ: trivial image	48	4	C3:D12.3C4	288,451

Extensions 1→N→G→Q→1 with N=C3:D12 and Q=C4