Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃xC₈

Direct product G=NxQ with N=C₃ and Q=S₃xC₈

		d	ρ	Label	ID
S₃xC₂₄		48	2	S3xC24	144,69

Semidirect products G=N:Q with N=C₃ and Q=S₃xC₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(S₃xC₈) = C₁₂.₂₉D₆	φ: S₃xC₈/C₃:C₈ → C₂ ⊆ Aut C₃	24	4	C3:1(S3xC8)	144,53
C₃:₂(S₃xC₈) = C₈xC₃:S₃	φ: S₃xC₈/C₂₄ → C₂ ⊆ Aut C₃	72		C3:2(S3xC8)	144,85
C₃:₃(S₃xC₈) = S₃xC₃:C₈	φ: S₃xC₈/C₄xS₃ → C₂ ⊆ Aut C₃	48	4	C3:3(S3xC8)	144,52

Non-split extensions G=N.Q with N=C₃ and Q=S₃xC₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(S₃xC₈) = C₈xD₉	φ: S₃xC₈/C₂₄ → C₂ ⊆ Aut C₃	72	2	C3.(S3xC8)	144,5

Extensions 1→N→G→Q→1 with N=C3 and Q=S3xC8