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

Direct product G=N×Q with N=D₈ and Q=C₃⋊S₃

		d	ρ	Label	ID
D₈×C₃⋊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

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