Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₃×C₉

Direct product G=N×Q with N=C₁₈ and Q=C₃×C₉

		d	ρ	Label	ID
C₃×C₉×C₁₈		486		C3xC9xC18	486,190

Semidirect products G=N:Q with N=C₁₈ and Q=C₃×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊₁(C₃×C₉) = C₁₈×3_-¹⁺²	φ: C₃×C₉/C₉ → C₃ ⊆ Aut C₁₈	162		C18:1(C3xC9)	486,195
C₁₈⋊₂(C₃×C₉) = C₆×C₉⋊C₉	φ: C₃×C₉/C₃² → C₃ ⊆ Aut C₁₈	486		C18:2(C3xC9)	486,192

Non-split extensions G=N.Q with N=C₁₈ and Q=C₃×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁(C₃×C₉) = C₂×C₂₇○He₃	φ: C₃×C₉/C₉ → C₃ ⊆ Aut C₁₈	162	3	C18.1(C3xC9)	486,209
C₁₈.₂(C₃×C₉) = C₂×C₂₇⋊C₉	φ: C₃×C₉/C₃² → C₃ ⊆ Aut C₁₈	54	9	C18.2(C3xC9)	486,82
C₁₈.₃(C₃×C₉) = C₂×C₉²⋊₃C₃	φ: C₃×C₉/C₃² → C₃ ⊆ Aut C₁₈	162		C18.3(C3xC9)	486,193
C₁₈.₄(C₃×C₉) = C₆×C₂₇⋊C₃	φ: C₃×C₉/C₃² → C₃ ⊆ Aut C₁₈	162		C18.4(C3xC9)	486,208
C₁₈.₅(C₃×C₉) = C₂×C₂₇⋊₂C₉	central extension (φ=1)	486		C18.5(C3xC9)	486,71
C₁₈.₆(C₃×C₉) = C₂×C₈₁⋊C₃	central extension (φ=1)	162	3	C18.6(C3xC9)	486,84

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