Extensions 1→N→G→Q→1 with N=C₁₈ and Q=S₃

Direct product G=N×Q with N=C₁₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₁₈		36	2	S3xC18	108,24

Semidirect products G=N:Q with N=C₁₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊S₃ = C₂×C₉⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₁₈	54		C18:S3	108,27

Non-split extensions G=N.Q with N=C₁₈ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁S₃ = Dic₂₇	φ: S₃/C₃ → C₂ ⊆ Aut C₁₈	108	2-	C18.1S3	108,1
C₁₈.₂S₃ = D₅₄	φ: S₃/C₃ → C₂ ⊆ Aut C₁₈	54	2+	C18.2S3	108,4
C₁₈.₃S₃ = C₉⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Aut C₁₈	108		C18.3S3	108,10
C₁₈.₄S₃ = C₉×Dic₃	central extension (φ=1)	36	2	C18.4S3	108,7

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Extensions 1→N→G→Q→1 with N=C18 and Q=S3