Extensions 1→N→G→Q→1 with N=C₂⁴xC₆ and Q=C₃

Direct product G=NxQ with N=C₂⁴xC₆ and Q=C₃

		d	ρ	Label	ID
C₂³xC₆²		288		C2^3xC6^2	288,1045

Semidirect products G=N:Q with N=C₂⁴xC₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂⁴xC₆):₁C₃ = A₄xC₂²xC₆	φ: C₃/C₁ → C₃ ⊆ Aut C₂⁴xC₆	72		(C2^4xC6):1C3	288,1041
(C₂⁴xC₆):₂C₃ = C₆xC₂²:A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂⁴xC₆	36		(C2^4xC6):2C3	288,1042

Non-split extensions G=N.Q with N=C₂⁴xC₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂⁴xC₆).₁C₃ = C₂³xC₃.A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂⁴xC₆	72		(C2^4xC6).1C3	288,837
(C₂⁴xC₆).₂C₃ = C₂xC₂⁴:C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₂⁴xC₆	36		(C2^4xC6).2C3	288,838

Extensions 1→N→G→Q→1 with N=C24xC6 and Q=C3