Extensions 1→N→G→Q→1 with N=C₂⁴×C₆ and Q=C₃

Direct product G=N×Q with N=C₂⁴×C₆ and Q=C₃

		d	ρ	Label	ID
C₂³×C₆²		288		C2^3xC6^2	288,1045

Semidirect products G=N:Q with N=C₂⁴×C₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂⁴×C₆)⋊₁C₃ = A₄×C₂²×C₆	φ: C₃/C₁ → C₃ ⊆ Aut C₂⁴×C₆	72		(C2^4xC6):1C3	288,1041
(C₂⁴×C₆)⋊₂C₃ = C₆×C₂²⋊A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂⁴×C₆	36		(C2^4xC6):2C3	288,1042

Non-split extensions G=N.Q with N=C₂⁴×C₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂⁴×C₆).₁C₃ = C₂³×C₃.A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂⁴×C₆	72		(C2^4xC6).1C3	288,837
(C₂⁴×C₆).₂C₃ = C₂×C₂⁴⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₂⁴×C₆	36		(C2^4xC6).2C3	288,838

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Extensions 1→N→G→Q→1 with N=C24×C6 and Q=C3