Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₆

Direct product G=N×Q with N=C₁₈ and Q=C₆

		d	ρ	Label	ID
C₆×C₁₈		108		C6xC18	108,29

Semidirect products G=N:Q with N=C₁₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊C₆ = C₂×C₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₁₈	18	6+	C18:C6	108,26
C₁₈⋊₂C₆ = C₂²×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₁₈	36		C18:2C6	108,31
C₁₈⋊₃C₆ = C₆×D₉	φ: C₆/C₃ → C₂ ⊆ Aut C₁₈	36	2	C18:3C6	108,23

Non-split extensions G=N.Q with N=C₁₈ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.C₆ = C₉⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₁₈	36	6-	C18.C6	108,9
C₁₈.₂C₆ = C₄×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₁₈	36	3	C18.2C6	108,14
C₁₈.₃C₆ = C₃×Dic₉	φ: C₆/C₃ → C₂ ⊆ Aut C₁₈	36	2	C18.3C6	108,6

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Extensions 1→N→G→Q→1 with N=C18 and Q=C6