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

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

		d	ρ	Label	ID
S₃×C₇²		147		S3xC7^2	294,20

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊(S₃×C₇) = C₇×D₂₁	φ: S₃×C₇/C₂₁ → C₂ ⊆ Aut C₇	42	2	C7:(S3xC7)	294,21

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇.(S₃×C₇) = S₃×C₄₉	central extension (φ=1)	147	2	C7.(S3xC7)	294,3

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