Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃×C₁₈

Direct product G=N×Q with N=C₃ and Q=S₃×C₁₈

		d	ρ	Label	ID
S₃×C₃×C₁₈		108		S3xC3xC18	324,137

Semidirect products G=N:Q with N=C₃ and Q=S₃×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(S₃×C₁₈) = S₃²×C₉	φ: S₃×C₁₈/S₃×C₉ → C₂ ⊆ Aut C₃	36	4	C3:1(S3xC18)	324,115
C₃⋊₂(S₃×C₁₈) = C₁₈×C₃⋊S₃	φ: S₃×C₁₈/C₃×C₁₈ → C₂ ⊆ Aut C₃	108		C3:2(S3xC18)	324,143

Non-split extensions G=N.Q with N=C₃ and Q=S₃×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(S₃×C₁₈) = D₉×C₁₈	φ: S₃×C₁₈/C₃×C₁₈ → C₂ ⊆ Aut C₃	36	2	C3.1(S3xC18)	324,61
C₃.₂(S₃×C₁₈) = C₂×C₃²⋊C₁₈	φ: S₃×C₁₈/C₃×C₁₈ → C₂ ⊆ Aut C₃	36	6	C3.2(S3xC18)	324,62
C₃.₃(S₃×C₁₈) = C₂×C₉⋊C₁₈	φ: S₃×C₁₈/C₃×C₁₈ → C₂ ⊆ Aut C₃	36	6	C3.3(S3xC18)	324,64
C₃.₄(S₃×C₁₈) = S₃×C₅₄	central extension (φ=1)	108	2	C3.4(S3xC18)	324,66

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