Extensions 1→N→G→Q→1 with N=S₃×C₂₁ and Q=C₃

Direct product G=N×Q with N=S₃×C₂₁ and Q=C₃

		d	ρ	Label	ID
S₃×C₃×C₂₁		126		S3xC3xC21	378,54

Semidirect products G=N:Q with N=S₃×C₂₁ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂₁)⋊C₃ = C₃×S₃×C₇⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₂₁	42	6	(S3xC21):C3	378,48

Non-split extensions G=N.Q with N=S₃×C₂₁ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂₁).C₃ = S₃×C₇⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₂₁	126	6	(S3xC21).C3	378,16
(S₃×C₂₁).₂C₃ = S₃×C₆₃	φ: trivial image	126	2	(S3xC21).2C3	378,33

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Extensions 1→N→G→Q→1 with N=S3×C21 and Q=C3