Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₃³

Direct product G=N×Q with N=C₁₈ and Q=C₃³

		d	ρ	Label	ID
C₃³×C₁₈		486		C3^3xC18	486,250

Semidirect products G=N:Q with N=C₁₈ and Q=C₃³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊C₃³ = C₃×C₆×3_-¹⁺²	φ: C₃³/C₃² → C₃ ⊆ Aut C₁₈	162		C18:C3^3	486,252

Non-split extensions G=N.Q with N=C₁₈ and Q=C₃³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁C₃³ = C₆×C₉○He₃	φ: C₃³/C₃² → C₃ ⊆ Aut C₁₈	162		C18.1C3^3	486,253
C₁₈.₂C₃³ = C₂×3_-¹⁺⁴	φ: C₃³/C₃² → C₃ ⊆ Aut C₁₈	54	9	C18.2C3^3	486,255
C₁₈.₃C₃³ = C₆×C₂₇⋊C₃	central extension (φ=1)	162		C18.3C3^3	486,208
C₁₈.₄C₃³ = C₂×C₂₇○He₃	central extension (φ=1)	162	3	C18.4C3^3	486,209

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Extensions 1→N→G→Q→1 with N=C18 and Q=C33