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

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

		d	ρ	Label	ID
C₃×C₆×C₂₄		432		C3xC6xC24	432,515

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₆×C₂₄)⋊C₃ = C₂×C₈×He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₆×C₂₄	144		(C6xC24):C3	432,210

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₆×C₂₄).C₃ = C₂×C₈×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₆×C₂₄	144		(C6xC24).C3	432,211

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