Extensions 1→N→G→Q→1 with N=C₃:S₃ and Q=Q₈

Direct product G=NxQ with N=C₃:S₃ and Q=Q₈

		d	ρ	Label	ID
Q₈xC₃:S₃		72		Q8xC3:S3	144,174

Semidirect products G=N:Q with N=C₃:S₃ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:S₃:Q₈ = C₂xPSU₃(F₂)	φ: Q₈/C₂ → C₂² ⊆ Out C₃:S₃	18	8+	C3:S3:Q8	144,187
C₃:S₃:₂Q₈ = Dic₃.D₆	φ: Q₈/C₄ → C₂ ⊆ Out C₃:S₃	24	4	C3:S3:2Q8	144,140

Non-split extensions G=N.Q with N=C₃:S₃ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₃:S₃.Q₈ = C₃:S₃.Q₈	φ: Q₈/C₂ → C₂² ⊆ Out C₃:S₃	24	4	C3:S3.Q8	144,116
C₃:S₃.₂Q₈ = C₄:(C₃²:C₄)	φ: Q₈/C₄ → C₂ ⊆ Out C₃:S₃	24	4	C3:S3.2Q8	144,133

Extensions 1→N→G→Q→1 with N=C3:S3 and Q=Q8