Extensions 1→N→G→Q→1 with N=D₈ and Q=C₃:S₃

Direct product G=NxQ with N=D₈ and Q=C₃:S₃

		d	ρ	Label	ID
D₈xC₃:S₃		72		D8xC3:S3	288,767

Semidirect products G=N:Q with N=D₈ and Q=C₃:S₃

extension	φ:Q→Out N	d	Label	ID
D₈:₁(C₃:S₃) = C₃²:₇D₁₆	φ: C₃:S₃/C₃² → C₂ ⊆ Out D₈	144	D8:1(C3:S3)	288,301
D₈:₂(C₃:S₃) = C₂₄:₈D₆	φ: C₃:S₃/C₃² → C₂ ⊆ Out D₈	72	D8:2(C3:S3)	288,768
D₈:₃(C₃:S₃) = C₂₄.₂₆D₆	φ: trivial image	144	D8:3(C3:S3)	288,769

Non-split extensions G=N.Q with N=D₈ and Q=C₃:S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.(C₃:S₃) = C₃²:₈SD₃₂	φ: C₃:S₃/C₃² → C₂ ⊆ Out D₈	144		D8.(C3:S3)	288,302

Extensions 1→N→G→Q→1 with N=D8 and Q=C3:S3