Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈xC₃xC₆

Direct product G=NxQ with N=C₃ and Q=Q₈xC₃xC₆

		d	ρ	Label	ID
Q₈xC₃²xC₆		432		Q8xC3^2xC6	432,732

Semidirect products G=N:Q with N=C₃ and Q=Q₈xC₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(Q₈xC₃xC₆) = C₃xC₆xDic₆	φ: Q₈xC₃xC₆/C₆xC₁₂ → C₂ ⊆ Aut C₃	144		C3:1(Q8xC3xC6)	432,700
C₃:₂(Q₈xC₃xC₆) = S₃xQ₈xC₃²	φ: Q₈xC₃xC₆/Q₈xC₃² → C₂ ⊆ Aut C₃	144		C3:2(Q8xC3xC6)	432,706

Non-split extensions G=N.Q with N=C₃ and Q=Q₈xC₃xC₆

extension	φ:Q→Aut N	d	Label	ID
C₃.₁(Q₈xC₃xC₆) = Q₈xC₃xC₁₈	central extension (φ=1)	432	C3.1(Q8xC3xC6)	432,406
C₃.₂(Q₈xC₃xC₆) = C₂xQ₈xHe₃	central stem extension (φ=1)	144	C3.2(Q8xC3xC6)	432,407
C₃.₃(Q₈xC₃xC₆) = C₂xQ₈x3_-¹⁺²	central stem extension (φ=1)	144	C3.3(Q8xC3xC6)	432,408

Extensions 1→N→G→Q→1 with N=C3 and Q=Q8xC3xC6