Extensions 1→N→G→Q→1 with N=S₃xC₂₁ and Q=C₃

Direct product G=NxQ with N=S₃xC₂₁ and Q=C₃

		d	ρ	Label	ID
S₃xC₃xC₂₁		126		S3xC3xC21	378,54

Semidirect products G=N:Q with N=S₃xC₂₁ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂₁):C₃ = C₃xS₃xC₇:C₃	φ: C₃/C₁ → C₃ ⊆ Out S₃xC₂₁	42	6	(S3xC21):C3	378,48

Non-split extensions G=N.Q with N=S₃xC₂₁ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂₁).C₃ = S₃xC₇:C₉	φ: C₃/C₁ → C₃ ⊆ Out S₃xC₂₁	126	6	(S3xC21).C3	378,16
(S₃xC₂₁).₂C₃ = S₃xC₆₃	φ: trivial image	126	2	(S3xC21).2C3	378,33

Extensions 1→N→G→Q→1 with N=S3xC21 and Q=C3