Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²×C₂₄

Direct product G=N×Q with N=C₃ and Q=C₂²×C₂₄

		d	ρ	Label	ID
C₂×C₆×C₂₄		288		C2xC6xC24	288,826

Semidirect products G=N:Q with N=C₃ and Q=C₂²×C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂²×C₂₄) = S₃×C₂×C₂₄	φ: C₂²×C₂₄/C₂×C₂₄ → C₂ ⊆ Aut C₃	96		C3:1(C2^2xC24)	288,670
C₃⋊₂(C₂²×C₂₄) = C₂×C₆×C₃⋊C₈	φ: C₂²×C₂₄/C₂²×C₁₂ → C₂ ⊆ Aut C₃	96		C3:2(C2^2xC24)	288,691

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