Extensions 1→N→G→Q→1 with N=C₃×C₂₄ and Q=C₃

Direct product G=N×Q with N=C₃×C₂₄ and Q=C₃

		d	ρ	Label	ID
C₃²×C₂₄		216		C3^2xC24	216,85

Semidirect products G=N:Q with N=C₃×C₂₄ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₂₄)⋊C₃ = C₈×He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₂₄	72	3	(C3xC24):C3	216,19

Non-split extensions G=N.Q with N=C₃×C₂₄ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₂₄).C₃ = C₈×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₂₄	72	3	(C3xC24).C3	216,20

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3×C24 and Q=C3