Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₄:C₈

Direct product G=NxQ with N=C₃ and Q=C₃xC₄:C₈

		d	ρ	Label	ID
C₃²xC₄:C₈		288		C3^2xC4:C8	288,323

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₄:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xC₄:C₈) = C₃xC₁₂:C₈	φ: C₃xC₄:C₈/C₄xC₁₂ → C₂ ⊆ Aut C₃	96		C3:1(C3xC4:C8)	288,238
C₃:₂(C₃xC₄:C₈) = C₃xDic₃:C₈	φ: C₃xC₄:C₈/C₂xC₂₄ → C₂ ⊆ Aut C₃	96		C3:2(C3xC4:C8)	288,248

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₄:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃xC₄:C₈) = C₉xC₄:C₈	central extension (φ=1)	288		C3.(C3xC4:C8)	288,55

Extensions 1→N→G→Q→1 with N=C3 and Q=C3xC4:C8