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	288,825

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

extension	φ:Q→Aut N	d	Label	ID
C₃:₁(C₃xC₄:Q₈) = C₃xC₁₂:₂Q₈	φ: C₃xC₄:Q₈/C₄xC₁₂ → C₂ ⊆ Aut C₃	96	C3:1(C3xC4:Q8)	288,640
C₃:₂(C₃xC₄:Q₈) = C₃xC₁₂:Q₈	φ: C₃xC₄:Q₈/C₃xC₄:C₄ → C₂ ⊆ Aut C₃	96	C3:2(C3xC4:Q8)	288,659
C₃:₃(C₃xC₄:Q₈) = C₃xDic₃:Q₈	φ: C₃xC₄:Q₈/C₆xQ₈ → C₂ ⊆ Aut C₃	96	C3:3(C3xC4:Q8)	288,715

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)	288,178

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