Extensions 1→N→G→Q→1 with N=C₅₇ and Q=S₃

Direct product G=N×Q with N=C₅₇ and Q=S₃

		d	ρ	Label	ID
S₃×C₅₇		114	2	S3xC57	342,14

Semidirect products G=N:Q with N=C₅₇ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₇⋊₁S₃ = C₃⋊D₅₇	φ: S₃/C₃ → C₂ ⊆ Aut C₅₇	171		C57:1S3	342,17
C₅₇⋊₂S₃ = C₃×D₅₇	φ: S₃/C₃ → C₂ ⊆ Aut C₅₇	114	2	C57:2S3	342,15
C₅₇⋊₃S₃ = C₃⋊S₃×C₁₉	φ: S₃/C₃ → C₂ ⊆ Aut C₅₇	171		C57:3S3	342,16

Non-split extensions G=N.Q with N=C₅₇ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₇.₁S₃ = D₁₇₁	φ: S₃/C₃ → C₂ ⊆ Aut C₅₇	171	2+	C57.1S3	342,5
C₅₇.₂S₃ = D₉×C₁₉	φ: S₃/C₃ → C₂ ⊆ Aut C₅₇	171	2	C57.2S3	342,3

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Extensions 1→N→G→Q→1 with N=C57 and Q=S3