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

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

		d	ρ	Label	ID
C₁₈×C₃⋊S₃		108		C18xC3:S3	324,143

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊(C₃⋊S₃) = C₂×C₃²⋊₄D₉	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₁₈	162		C18:(C3:S3)	324,149

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁(C₃⋊S₃) = C₂₇⋊Dic₃	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₁₈	324		C18.1(C3:S3)	324,21
C₁₈.₂(C₃⋊S₃) = C₂×C₂₇⋊S₃	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₁₈	162		C18.2(C3:S3)	324,76
C₁₈.₃(C₃⋊S₃) = C₃²⋊₅Dic₉	φ: C₃⋊S₃/C₃² → C₂ ⊆ Aut C₁₈	324		C18.3(C3:S3)	324,103
C₁₈.₄(C₃⋊S₃) = C₉×C₃⋊Dic₃	central extension (φ=1)	108		C18.4(C3:S3)	324,97
C₁₈.₅(C₃⋊S₃) = He₃.₅C₁₂	central extension (φ=1)	108	3	C18.5(C3:S3)	324,102
C₁₈.₆(C₃⋊S₃) = C₂×He₃.₄C₆	central extension (φ=1)	54	3	C18.6(C3:S3)	324,148

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