Extensions 1→N→G→Q→1 with N=C₇ and Q=S₃×C₉

Direct product G=N×Q with N=C₇ and Q=S₃×C₉

		d	ρ	Label	ID
S₃×C₆₃		126	2	S3xC63	378,33

Semidirect products G=N:Q with N=C₇ and Q=S₃×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊(S₃×C₉) = D₂₁⋊C₉	φ: S₃×C₉/C₃² → C₆ ⊆ Aut C₇	126	6	C7:(S3xC9)	378,21
C₇⋊₂(S₃×C₉) = S₃×C₇⋊C₉	φ: S₃×C₉/C₃×S₃ → C₃ ⊆ Aut C₇	126	6	C7:2(S3xC9)	378,16
C₇⋊₃(S₃×C₉) = C₉×D₂₁	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₇	126	2	C7:3(S3xC9)	378,37

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