Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xC₃²:C₄

Direct product G=NxQ with N=C₃ and Q=C₂xC₃²:C₄

		d	ρ	Label	ID
C₆xC₃²:C₄		24	4	C6xC3^2:C4	216,168

Semidirect products G=N:Q with N=C₃ and Q=C₂xC₃²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂xC₃²:C₄) = S₃xC₃²:C₄	φ: C₂xC₃²:C₄/C₃²:C₄ → C₂ ⊆ Aut C₃	12	8+	C3:1(C2xC3^2:C4)	216,156
C₃:₂(C₂xC₃²:C₄) = C₂xC₃³:C₄	φ: C₂xC₃²:C₄/C₂xC₃:S₃ → C₂ ⊆ Aut C₃	24	4	C3:2(C2xC3^2:C4)	216,169

Non-split extensions G=N.Q with N=C₃ and Q=C₂xC₃²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂xC₃²:C₄) = C₂xHe₃:C₄	central stem extension (φ=1)	36	3	C3.(C2xC3^2:C4)	216,100

Extensions 1→N→G→Q→1 with N=C3 and Q=C2xC32:C4