Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₄.Q₈

Direct product G=NxQ with N=C₃ and Q=C₃xC₄.Q₈

		d	ρ	Label	ID
C₃²xC₄.Q₈		288		C3^2xC4.Q8	288,324

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₄.Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xC₄.Q₈) = C₃xC₁₂.Q₈	φ: C₃xC₄.Q₈/C₃xC₄:C₄ → C₂ ⊆ Aut C₃	96		C3:1(C3xC4.Q8)	288,242
C₃:₂(C₃xC₄.Q₈) = C₃xC₈:Dic₃	φ: C₃xC₄.Q₈/C₂xC₂₄ → C₂ ⊆ Aut C₃	96		C3:2(C3xC4.Q8)	288,251

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₄.Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃xC₄.Q₈) = C₉xC₄.Q₈	central extension (φ=1)	288		C3.(C3xC4.Q8)	288,56

Extensions 1→N→G→Q→1 with N=C3 and Q=C3xC4.Q8