Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₁₂

Direct product G=N×Q with N=C₁₈ and Q=C₁₂

		d	ρ	Label	ID
C₆×C₃₆		216		C6xC36	216,73

Semidirect products G=N:Q with N=C₁₈ and Q=C₁₂

extension	φ:Q→Aut N	d	Label	ID
C₁₈⋊C₁₂ = C₂×C₉⋊C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₁₈	72	C18:C12	216,61
C₁₈⋊₂C₁₂ = C₂×C₄×3_-¹⁺²	φ: C₁₂/C₄ → C₃ ⊆ Aut C₁₈	72	C18:2C12	216,75
C₁₈⋊₃C₁₂ = C₆×Dic₉	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₈	72	C18:3C12	216,55

Non-split extensions G=N.Q with N=C₁₈ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.C₁₂ = C₉⋊C₂₄	φ: C₁₂/C₂ → C₆ ⊆ Aut C₁₈	72	6	C18.C12	216,15
C₁₈.₂C₁₂ = C₈×3_-¹⁺²	φ: C₁₂/C₄ → C₃ ⊆ Aut C₁₈	72	3	C18.2C12	216,20
C₁₈.₃C₁₂ = C₃×C₉⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₈	72	2	C18.3C12	216,12

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C18 and Q=C12