Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₃²xC₆

Direct product G=NxQ with N=C₂³ and Q=C₃²xC₆

		d	ρ	Label	ID
C₂xC₆³		432		C2xC6^3	432,775

Semidirect products G=N:Q with N=C₂³ and Q=C₃²xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³:(C₃²xC₆) = A₄xC₆²	φ: C₃²xC₆/C₃xC₆ → C₃ ⊆ Aut C₂³	108		C2^3:(C3^2xC6)	432,770
C₂³:₂(C₃²xC₆) = D₄xC₃²xC₆	φ: C₃²xC₆/C₃³ → C₂ ⊆ Aut C₂³	216		C2^3:2(C3^2xC6)	432,731

Non-split extensions G=N.Q with N=C₂³ and Q=C₃²xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.(C₃²xC₆) = A₄xC₃xC₁₂	φ: C₃²xC₆/C₃xC₆ → C₃ ⊆ Aut C₂³	108		C2^3.(C3^2xC6)	432,697
C₂³.₂(C₃²xC₆) = C₂²:C₄xC₃³	φ: C₃²xC₆/C₃³ → C₂ ⊆ Aut C₂³	216		C2^3.2(C3^2xC6)	432,513

Extensions 1→N→G→Q→1 with N=C23 and Q=C32xC6