Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄xC₁₂

Direct product G=NxQ with N=C₃ and Q=D₄xC₁₂

		d	ρ	Label	ID
D₄xC₃xC₁₂		144		D4xC3xC12	288,815

Semidirect products G=N:Q with N=C₃ and Q=D₄xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(D₄xC₁₂) = C₁₂xD₁₂	φ: D₄xC₁₂/C₄xC₁₂ → C₂ ⊆ Aut C₃	96		C3:1(D4xC12)	288,644
C₃:₂(D₄xC₁₂) = C₃xDic₃:₄D₄	φ: D₄xC₁₂/C₃xC₂²:C₄ → C₂ ⊆ Aut C₃	48		C3:2(D4xC12)	288,652
C₃:₃(D₄xC₁₂) = C₃xDic₃:₅D₄	φ: D₄xC₁₂/C₃xC₄:C₄ → C₂ ⊆ Aut C₃	96		C3:3(D4xC12)	288,664
C₃:₄(D₄xC₁₂) = C₁₂xC₃:D₄	φ: D₄xC₁₂/C₂²xC₁₂ → C₂ ⊆ Aut C₃	48		C3:4(D4xC12)	288,699
C₃:₅(D₄xC₁₂) = C₃xD₄xDic₃	φ: D₄xC₁₂/C₆xD₄ → C₂ ⊆ Aut C₃	48		C3:5(D4xC12)	288,705

Non-split extensions G=N.Q with N=C₃ and Q=D₄xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₄xC₁₂) = D₄xC₃₆	central extension (φ=1)	144		C3.(D4xC12)	288,168

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