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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(S₃×C₂₁) = C₃⋊S₃×C₂₁	φ: S₃×C₂₁/C₃×C₂₁ → C₂ ⊆ Aut C₃	126		C3:(S3xC21)	378,56

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(S₃×C₂₁) = D₉×C₂₁	φ: S₃×C₂₁/C₃×C₂₁ → C₂ ⊆ Aut C₃	126	2	C3.1(S3xC21)	378,32
C₃.₂(S₃×C₂₁) = C₇×C₃²⋊C₆	φ: S₃×C₂₁/C₃×C₂₁ → C₂ ⊆ Aut C₃	63	6	C3.2(S3xC21)	378,34
C₃.₃(S₃×C₂₁) = C₇×C₉⋊C₆	φ: S₃×C₂₁/C₃×C₂₁ → C₂ ⊆ Aut C₃	63	6	C3.3(S3xC21)	378,35
C₃.₄(S₃×C₂₁) = S₃×C₆₃	central extension (φ=1)	126	2	C3.4(S3xC21)	378,33

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