Extensions 1→N→G→Q→1 with N=Q₁₆ and Q=C₃:S₃

Direct product G=NxQ with N=Q₁₆ and Q=C₃:S₃

		d	ρ	Label	ID
Q₁₆xC₃:S₃		144		Q16xC3:S3	288,774

Semidirect products G=N:Q with N=Q₁₆ and Q=C₃:S₃

extension	φ:Q→Out N	d	Label	ID
Q₁₆:₁(C₃:S₃) = C₃²:₁₀SD₃₂	φ: C₃:S₃/C₃² → C₂ ⊆ Out Q₁₆	144	Q16:1(C3:S3)	288,303
Q₁₆:₂(C₃:S₃) = C₂₄.₃₅D₆	φ: C₃:S₃/C₃² → C₂ ⊆ Out Q₁₆	144	Q16:2(C3:S3)	288,775
Q₁₆:₃(C₃:S₃) = C₂₄.₂₈D₆	φ: trivial image	144	Q16:3(C3:S3)	288,776

Non-split extensions G=N.Q with N=Q₁₆ and Q=C₃:S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆.(C₃:S₃) = C₃²:₇Q₃₂	φ: C₃:S₃/C₃² → C₂ ⊆ Out Q₁₆	288		Q16.(C3:S3)	288,304

Extensions 1→N→G→Q→1 with N=Q16 and Q=C3:S3