Extensions 1→N→G→Q→1 with N=C₃₂ and Q=S₃

Direct product G=N×Q with N=C₃₂ and Q=S₃

		d	ρ	Label	ID
S₃×C₃₂		96	2	S3xC32	192,5

Semidirect products G=N:Q with N=C₃₂ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₂⋊₁S₃ = D₉₆	φ: S₃/C₃ → C₂ ⊆ Aut C₃₂	96	2+	C32:1S3	192,7
C₃₂⋊₂S₃ = C₃₂⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃₂	96	2	C32:2S3	192,8
C₃₂⋊₃S₃ = C₉₆⋊C₂	φ: S₃/C₃ → C₂ ⊆ Aut C₃₂	96	2	C32:3S3	192,6

Non-split extensions G=N.Q with N=C₃₂ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₂.S₃ = Dic₄₈	φ: S₃/C₃ → C₂ ⊆ Aut C₃₂	192	2-	C32.S3	192,9
C₃₂.₂S₃ = C₃⋊C₆₄	central extension (φ=1)	192	2	C32.2S3	192,1

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Extensions 1→N→G→Q→1 with N=C32 and Q=S3