Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²xC₃²:C₄

Direct product G=NxQ with N=C₃ and Q=C₂²xC₃²:C₄

		d	ρ	Label	ID
C₂xC₆xC₃²:C₄		48		C2xC6xC3^2:C4	432,765

Semidirect products G=N:Q with N=C₃ and Q=C₂²xC₃²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂²xC₃²:C₄) = C₂xS₃xC₃²:C₄	φ: C₂²xC₃²:C₄/C₂xC₃²:C₄ → C₂ ⊆ Aut C₃	24	8+	C3:1(C2^2xC3^2:C4)	432,753
C₃:₂(C₂²xC₃²:C₄) = C₂²xC₃³:C₄	φ: C₂²xC₃²:C₄/C₂²xC₃:S₃ → C₂ ⊆ Aut C₃	48		C3:2(C2^2xC3^2:C4)	432,766

Non-split extensions G=N.Q with N=C₃ and Q=C₂²xC₃²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²xC₃²:C₄) = C₂²xHe₃:C₄	central stem extension (φ=1)	72		C3.(C2^2xC3^2:C4)	432,543

Extensions 1→N→G→Q→1 with N=C3 and Q=C22xC32:C4