Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃×C₇

Direct product G=N×Q with N=C₃ and Q=S₃×C₇

		d	ρ	Label	ID
S₃×C₂₁		42	2	S3xC21	126,12

Semidirect products G=N:Q with N=C₃ and Q=S₃×C₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(S₃×C₇) = C₇×C₃⋊S₃	φ: S₃×C₇/C₂₁ → C₂ ⊆ Aut C₃	63		C3:(S3xC7)	126,14

Non-split extensions G=N.Q with N=C₃ and Q=S₃×C₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(S₃×C₇) = C₇×D₉	φ: S₃×C₇/C₂₁ → C₂ ⊆ Aut C₃	63	2	C3.(S3xC7)	126,3

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Extensions 1→N→G→Q→1 with N=C3 and Q=S3×C7