Extensions 1→N→G→Q→1 with N=C₂₁ and Q=S₃

Direct product G=NxQ with N=C₂₁ and Q=S₃

		d	ρ	Label	ID
S₃xC₂₁		42	2	S3xC21	126,12

Semidirect products G=N:Q with N=C₂₁ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁:₁S₃ = C₃:D₂₁	φ: S₃/C₃ → C₂ ⊆ Aut C₂₁	63		C21:1S3	126,15
C₂₁:₂S₃ = C₃xD₂₁	φ: S₃/C₃ → C₂ ⊆ Aut C₂₁	42	2	C21:2S3	126,13
C₂₁:₃S₃ = C₇xC₃:S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂₁	63		C21:3S3	126,14

Non-split extensions G=N.Q with N=C₂₁ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁.₁S₃ = D₆₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂₁	63	2+	C21.1S3	126,5
C₂₁.₂S₃ = C₇xD₉	φ: S₃/C₃ → C₂ ⊆ Aut C₂₁	63	2	C21.2S3	126,3

Extensions 1→N→G→Q→1 with N=C21 and Q=S3