Extensions 1→N→G→Q→1 with N=C₂₄ and Q=Dic₃

Direct product G=N×Q with N=C₂₄ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₂₄		96		Dic3xC24	288,247

Semidirect products G=N:Q with N=C₂₄ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄⋊₁Dic₃ = C₂₄⋊₁Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	288		C24:1Dic3	288,293
C₂₄⋊₂Dic₃ = C₂₄⋊₂Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	288		C24:2Dic3	288,292
C₂₄⋊₃Dic₃ = C₃×C₂₄⋊₁C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	96		C24:3Dic3	288,252
C₂₄⋊₄Dic₃ = C₈×C₃⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	288		C24:4Dic3	288,288
C₂₄⋊₅Dic₃ = C₂₄⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	288		C24:5Dic3	288,290
C₂₄⋊₆Dic₃ = C₃×C₈⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	96		C24:6Dic3	288,251
C₂₄⋊₇Dic₃ = C₃×C₂₄⋊C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	96		C24:7Dic3	288,249

Non-split extensions G=N.Q with N=C₂₄ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄.₁Dic₃ = C₇₂.C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	144	2	C24.1Dic3	288,20
C₂₄.₂Dic₃ = C₇₂⋊₁C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	288		C24.2Dic3	288,26
C₂₄.₃Dic₃ = C₁₂.₅₉D₁₂	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	144		C24.3Dic3	288,294
C₂₄.₄Dic₃ = C₈⋊Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	288		C24.4Dic3	288,25
C₂₄.₅Dic₃ = C₉⋊C₃₂	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	288	2	C24.5Dic3	288,1
C₂₄.₆Dic₃ = C₂×C₉⋊C₁₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	288		C24.6Dic3	288,18
C₂₄.₇Dic₃ = C₃₆.C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	144	2	C24.7Dic3	288,19
C₂₄.₈Dic₃ = C₈×Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	288		C24.8Dic3	288,21
C₂₄.₉Dic₃ = C₇₂⋊C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	288		C24.9Dic3	288,23
C₂₄.₁₀Dic₃ = C₄₈.S₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	288		C24.10Dic3	288,65
C₂₄.₁₁Dic₃ = C₂×C₂₄.S₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	288		C24.11Dic3	288,286
C₂₄.₁₂Dic₃ = C₂₄.₉₄D₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	144		C24.12Dic3	288,287
C₂₄.₁₃Dic₃ = C₃×C₂₄.C₄	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	48	2	C24.13Dic3	288,253
C₂₄.₁₄Dic₃ = C₃×C₁₂.C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₄	48	2	C24.14Dic3	288,246
C₂₄.₁₅Dic₃ = C₃×C₃⋊C₃₂	central extension (φ=1)	96	2	C24.15Dic3	288,64
C₂₄.₁₆Dic₃ = C₆×C₃⋊C₁₆	central extension (φ=1)	96		C24.16Dic3	288,245

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