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

Direct product G=N×Q with N=Q₁₆ and Q=C₃⋊S₃

		d	ρ	Label	ID
Q₁₆×C₃⋊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

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