Extensions 1→N→G→Q→1 with N=C₄₆ and Q=S₃

Direct product G=N×Q with N=C₄₆ and Q=S₃

		d	ρ	Label	ID
S₃×C₄₆		138	2	S3xC46	276,8

Semidirect products G=N:Q with N=C₄₆ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₆⋊S₃ = D₁₃₈	φ: S₃/C₃ → C₂ ⊆ Aut C₄₆	138	2+	C46:S3	276,9

Non-split extensions G=N.Q with N=C₄₆ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₆.S₃ = Dic₆₉	φ: S₃/C₃ → C₂ ⊆ Aut C₄₆	276	2-	C46.S3	276,3
C₄₆.₂S₃ = Dic₃×C₂₃	central extension (φ=1)	276	2	C46.2S3	276,1

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C46 and Q=S3