Extensions 1→N→G→Q→1 with N=D₂₄ and Q=C₆

Direct product G=N×Q with N=D₂₄ and Q=C₆

		d	ρ	Label	ID
C₆×D₂₄		96		C6xD24	288,674

Semidirect products G=N:Q with N=D₂₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₄⋊₁C₆ = C₃×D₄₈	φ: C₆/C₃ → C₂ ⊆ Out D₂₄	96	2	D24:1C6	288,233
D₂₄⋊₂C₆ = C₃×C₈⋊D₆	φ: C₆/C₃ → C₂ ⊆ Out D₂₄	48	4	D24:2C6	288,679
D₂₄⋊₃C₆ = C₃×C₃⋊D₁₆	φ: C₆/C₃ → C₂ ⊆ Out D₂₄	48	4	D24:3C6	288,260
D₂₄⋊₄C₆ = C₃×S₃×D₈	φ: C₆/C₃ → C₂ ⊆ Out D₂₄	48	4	D24:4C6	288,681
D₂₄⋊₅C₆ = C₃×D₂₄⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out D₂₄	96	4	D24:5C6	288,690
D₂₄⋊₆C₆ = C₃×Q₈⋊₃D₆	φ: C₆/C₃ → C₂ ⊆ Out D₂₄	48	4	D24:6C6	288,685
D₂₄⋊₇C₆ = C₃×C₄○D₂₄	φ: trivial image	48	2	D24:7C6	288,675

Non-split extensions G=N.Q with N=D₂₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₄.₁C₆ = C₃×C₄₈⋊C₂	φ: C₆/C₃ → C₂ ⊆ Out D₂₄	96	2	D24.1C6	288,234
D₂₄.₂C₆ = C₃×C₈.₆D₆	φ: C₆/C₃ → C₂ ⊆ Out D₂₄	96	4	D24.2C6	288,262

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