Extensions 1→N→G→Q→1 with N=C₆₃ and Q=S₃

Direct product G=N×Q with N=C₆₃ and Q=S₃

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

Semidirect products G=N:Q with N=C₆₃ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₃⋊₁S₃ = C₃⋊D₆₃	φ: S₃/C₃ → C₂ ⊆ Aut C₆₃	189		C63:1S3	378,42
C₆₃⋊₂S₃ = C₇×C₉⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₆₃	189		C63:2S3	378,40
C₆₃⋊₃S₃ = C₉×D₂₁	φ: S₃/C₃ → C₂ ⊆ Aut C₆₃	126	2	C63:3S3	378,37

Non-split extensions G=N.Q with N=C₆₃ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₃.₁S₃ = D₁₈₉	φ: S₃/C₃ → C₂ ⊆ Aut C₆₃	189	2+	C63.1S3	378,5
C₆₃.₂S₃ = C₇×D₂₇	φ: S₃/C₃ → C₂ ⊆ Aut C₆₃	189	2	C63.2S3	378,3

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Extensions 1→N→G→Q→1 with N=C63 and Q=S3