Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₂₄

Direct product G=N×Q with N=C₁₈ and Q=C₂₄

		d	ρ	Label	ID
C₆×C₇₂		432		C6xC72	432,209

Semidirect products G=N:Q with N=C₁₈ and Q=C₂₄

extension	φ:Q→Aut N	d	Label	ID
C₁₈⋊C₂₄ = C₂×C₉⋊C₂₄	φ: C₂₄/C₄ → C₆ ⊆ Aut C₁₈	144	C18:C24	432,142
C₁₈⋊₂C₂₄ = C₂×C₈×3_-¹⁺²	φ: C₂₄/C₈ → C₃ ⊆ Aut C₁₈	144	C18:2C24	432,211
C₁₈⋊₃C₂₄ = C₆×C₉⋊C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₁₈	144	C18:3C24	432,124

Non-split extensions G=N.Q with N=C₁₈ and Q=C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.C₂₄ = C₉⋊C₄₈	φ: C₂₄/C₄ → C₆ ⊆ Aut C₁₈	144	6	C18.C24	432,31
C₁₈.₂C₂₄ = C₁₆×3_-¹⁺²	φ: C₂₄/C₈ → C₃ ⊆ Aut C₁₈	144	3	C18.2C24	432,36
C₁₈.₃C₂₄ = C₃×C₉⋊C₁₆	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₁₈	144	2	C18.3C24	432,28

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C18 and Q=C24