Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₂²:C₄

Direct product G=NxQ with N=C₃ and Q=C₃xC₂²:C₄

		d	ρ	Label	ID
C₃²xC₂²:C₄		72		C3^2xC2^2:C4	144,102

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₂²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xC₂²:C₄) = C₃xD₆:C₄	φ: C₃xC₂²:C₄/C₂xC₁₂ → C₂ ⊆ Aut C₃	48		C3:1(C3xC2^2:C4)	144,79
C₃:₂(C₃xC₂²:C₄) = C₃xC₆.D₄	φ: C₃xC₂²:C₄/C₂²xC₆ → C₂ ⊆ Aut C₃	24		C3:2(C3xC2^2:C4)	144,84

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₂²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃xC₂²:C₄) = C₉xC₂²:C₄	central extension (φ=1)	72		C3.(C3xC2^2:C4)	144,21

Extensions 1→N→G→Q→1 with N=C3 and Q=C3xC22:C4