Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂₄⋊₁C₄

Direct product G=N×Q with N=C₃ and Q=C₂₄⋊₁C₄

		d	ρ	Label	ID
C₃×C₂₄⋊₁C₄		96		C3xC24:1C4	288,252

Semidirect products G=N:Q with N=C₃ and Q=C₂₄⋊₁C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂₄⋊₁C₄) = C₆.₁₈D₂₄	φ: C₂₄⋊₁C₄/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	96		C3:1(C24:1C4)	288,223
C₃⋊₂(C₂₄⋊₁C₄) = C₂₄⋊₁Dic₃	φ: C₂₄⋊₁C₄/C₂×C₂₄ → C₂ ⊆ Aut C₃	288		C3:2(C24:1C4)	288,293

Non-split extensions G=N.Q with N=C₃ and Q=C₂₄⋊₁C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂₄⋊₁C₄) = C₇₂⋊₁C₄	φ: C₂₄⋊₁C₄/C₂×C₂₄ → C₂ ⊆ Aut C₃	288		C3.(C24:1C4)	288,26

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Extensions 1→N→G→Q→1 with N=C3 and Q=C24⋊1C4