Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xC₃²:₂Q₈

Direct product G=NxQ with N=C₃ and Q=C₂xC₃²:₂Q₈

		d	ρ	Label	ID
C₆xC₃²:₂Q₈		48		C6xC3^2:2Q8	432,657

Semidirect products G=N:Q with N=C₃ and Q=C₂xC₃²:₂Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₂xC₃²:₂Q₈) = S₃xC₃²:₂Q₈	φ: C₂xC₃²:₂Q₈/C₃²:₂Q₈ → C₂ ⊆ Aut C₃	48	8-	C3:1(C2xC3^2:2Q8)	432,603
C₃:₂(C₂xC₃²:₂Q₈) = C₂xC₃³:₄Q₈	φ: C₂xC₃²:₂Q₈/C₆xDic₃ → C₂ ⊆ Aut C₃	144		C3:2(C2xC3^2:2Q8)	432,683
C₃:₃(C₂xC₃²:₂Q₈) = C₂xC₃³:₅Q₈	φ: C₂xC₃²:₂Q₈/C₂xC₃:Dic₃ → C₂ ⊆ Aut C₃	48		C3:3(C2xC3^2:2Q8)	432,695

Non-split extensions G=N.Q with N=C₃ and Q=C₂xC₃²:₂Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂xC₃²:₂Q₈) = C₂xC₉:Dic₆	φ: C₂xC₃²:₂Q₈/C₆xDic₃ → C₂ ⊆ Aut C₃	144		C3.1(C2xC3^2:2Q8)	432,303
C₃.₂(C₂xC₃²:₂Q₈) = C₂xHe₃:₂Q₈	φ: C₂xC₃²:₂Q₈/C₂xC₃:Dic₃ → C₂ ⊆ Aut C₃	144		C3.2(C2xC3^2:2Q8)	432,316

Extensions 1→N→G→Q→1 with N=C3 and Q=C2xC32:2Q8