Extensions 1→N→G→Q→1 with N=C₂₄ and Q=C₁₂

Direct product G=N×Q with N=C₂₄ and Q=C₁₂

		d	ρ	Label	ID
C₁₂×C₂₄		288		C12xC24	288,314

Semidirect products G=N:Q with N=C₂₄ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄⋊₁C₁₂ = C₃×C₂₄⋊₁C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	96		C24:1C12	288,252
C₂₄⋊₂C₁₂ = C₃×C₈⋊Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	96		C24:2C12	288,251
C₂₄⋊₃C₁₂ = C₃²×C₂.D₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	288		C24:3C12	288,325
C₂₄⋊₄C₁₂ = Dic₃×C₂₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	96		C24:4C12	288,247
C₂₄⋊₅C₁₂ = C₃×C₂₄⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	96		C24:5C12	288,249
C₂₄⋊₆C₁₂ = C₃²×C₄.Q₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	288		C24:6C12	288,324
C₂₄⋊₇C₁₂ = C₃²×C₈⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	288		C24:7C12	288,315

Non-split extensions G=N.Q with N=C₂₄ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄.₁C₁₂ = C₃×C₂₄.C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	48	2	C24.1C12	288,253
C₂₄.₂C₁₂ = C₉×C₂.D₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	288		C24.2C12	288,57
C₂₄.₃C₁₂ = C₃²×C₈.C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	144		C24.3C12	288,326
C₂₄.₄C₁₂ = C₃×C₃⋊C₃₂	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	96	2	C24.4C12	288,64
C₂₄.₅C₁₂ = C₆×C₃⋊C₁₆	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	96		C24.5C12	288,245
C₂₄.₆C₁₂ = C₃×C₁₂.C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	48	2	C24.6C12	288,246
C₂₄.₇C₁₂ = C₉×C₄.Q₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	288		C24.7C12	288,56
C₂₄.₈C₁₂ = C₉×C₈.C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	144	2	C24.8C12	288,58
C₂₄.₉C₁₂ = C₉×C₈⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	288		C24.9C12	288,47
C₂₄.₁₀C₁₂ = C₉×M₅(2)	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	144	2	C24.10C12	288,60
C₂₄.₁₁C₁₂ = C₃²×M₅(2)	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₄	144		C24.11C12	288,328

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