Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄xC₃²:C₄

Direct product G=NxQ with N=C₃ and Q=C₄xC₃²:C₄

		d	ρ	Label	ID
C₁₂xC₃²:C₄		48	4	C12xC3^2:C4	432,630

Semidirect products G=N:Q with N=C₃ and Q=C₄xC₃²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₄xC₃²:C₄) = C₄xC₃³:C₄	φ: C₄xC₃²:C₄/C₄xC₃:S₃ → C₂ ⊆ Aut C₃	48	4	C3:1(C4xC3^2:C4)	432,637
C₃:₂(C₄xC₃²:C₄) = Dic₃xC₃²:C₄	φ: C₄xC₃²:C₄/C₂xC₃²:C₄ → C₂ ⊆ Aut C₃	48	8-	C3:2(C4xC3^2:C4)	432,567

Non-split extensions G=N.Q with N=C₃ and Q=C₄xC₃²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄xC₃²:C₄) = C₄xHe₃:C₄	central stem extension (φ=1)	72	3	C3.(C4xC3^2:C4)	432,275

Extensions 1→N→G→Q→1 with N=C3 and Q=C4xC32:C4