Extensions 1→N→G→Q→1 with N=C₃² and Q=C₁₈

Direct product G=N×Q with N=C₃² and Q=C₁₈

		d	ρ	Label	ID
C₃²×C₁₈		162		C3^2xC18	162,47

Semidirect products G=N:Q with N=C₃² and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊C₁₈ = C₃²⋊C₁₈	φ: C₁₈/C₃ → C₆ ⊆ Aut C₃²	18	6	C3^2:C18	162,4
C₃²⋊₂C₁₈ = C₂×C₃²⋊C₉	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃²	54		C3^2:2C18	162,24
C₃²⋊₃C₁₈ = S₃×C₃×C₉	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃²	54		C3^2:3C18	162,33
C₃²⋊₄C₁₈ = C₉×C₃⋊S₃	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃²	54		C3^2:4C18	162,39

Non-split extensions G=N.Q with N=C₃² and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².C₁₈ = C₂×C₂₇⋊C₃	φ: C₁₈/C₆ → C₃ ⊆ Aut C₃²	54	3	C3^2.C18	162,27
C₃².₂C₁₈ = S₃×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Aut C₃²	54	2	C3^2.2C18	162,8

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