Extensions 1→N→G→Q→1 with N=C₅₈ and Q=S₃

Direct product G=N×Q with N=C₅₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₅₈		174	2	S3xC58	348,10

Semidirect products G=N:Q with N=C₅₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₈⋊S₃ = D₁₇₄	φ: S₃/C₃ → C₂ ⊆ Aut C₅₈	174	2+	C58:S3	348,11

Non-split extensions G=N.Q with N=C₅₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₈.S₃ = Dic₈₇	φ: S₃/C₃ → C₂ ⊆ Aut C₅₈	348	2-	C58.S3	348,3
C₅₈.₂S₃ = Dic₃×C₂₉	central extension (φ=1)	348	2	C58.2S3	348,1

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Extensions 1→N→G→Q→1 with N=C58 and Q=S3