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

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

		d	ρ	Label	ID
C₃xD₁₂:C₄		48	4	C3xD12:C4	288,259

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(D₁₂:C₄) = C₁₂.₈₀D₁₂	φ: D₁₂:C₄/C₄xDic₃ → C₂ ⊆ Aut C₃	48	4	C3:1(D12:C4)	288,218
C₃:₂(D₁₂:C₄) = C₆².₃₇D₄	φ: D₁₂:C₄/C₃xM₄(2) → C₂ ⊆ Aut C₃	72		C3:2(D12:C4)	288,300
C₃:₃(D₁₂:C₄) = D₁₂:₄Dic₃	φ: D₁₂:C₄/C₄oD₁₂ → C₂ ⊆ Aut C₃	24	4	C3:3(D12:C4)	288,216

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₁₂:C₄) = Dic₁₈:C₄	φ: D₁₂:C₄/C₃xM₄(2) → C₂ ⊆ Aut C₃	72	4	C3.(D12:C4)	288,32

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