Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₄:₁D₄

Direct product G=NxQ with N=C₃ and Q=C₃xC₄:₁D₄

		d	ρ	Label	ID
C₃²xC₄:₁D₄		144		C3^2xC4:1D4	288,824

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₄:₁D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xC₄:₁D₄) = C₃xC₄:D₁₂	φ: C₃xC₄:₁D₄/C₄xC₁₂ → C₂ ⊆ Aut C₃	96		C3:1(C3xC4:1D4)	288,645
C₃:₂(C₃xC₄:₁D₄) = C₃xC₁₂:₃D₄	φ: C₃xC₄:₁D₄/C₆xD₄ → C₂ ⊆ Aut C₃	48		C3:2(C3xC4:1D4)	288,711

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₄:₁D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃xC₄:₁D₄) = C₉xC₄:₁D₄	central extension (φ=1)	144		C3.(C3xC4:1D4)	288,177

Extensions 1→N→G→Q→1 with N=C3 and Q=C3xC4:1D4