Extensions 1→N→G→Q→1 with N=C₂₄.S₃ and Q=C₂

Direct product G=N×Q with N=C₂₄.S₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₄.S₃		288		C2xC24.S3	288,286

Semidirect products G=N:Q with N=C₂₄.S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₄.S₃⋊₁C₂ = C₃²⋊₂D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄.S₃	96	4	C24.S3:1C2	288,193
C₂₄.S₃⋊₂C₂ = D₂₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂₄.S₃	96	4	C24.S3:2C2	288,195
C₂₄.S₃⋊₃C₂ = C₃²⋊₇D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄.S₃	144		C24.S3:3C2	288,301
C₂₄.S₃⋊₄C₂ = C₃²⋊₈SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₂₄.S₃	144		C24.S3:4C2	288,302
C₂₄.S₃⋊₅C₂ = C₃²⋊₁₀SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₂₄.S₃	144		C24.S3:5C2	288,303
C₂₄.S₃⋊₆C₂ = S₃×C₃⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄.S₃	96	4	C24.S3:6C2	288,189
C₂₄.S₃⋊₇C₂ = C₂₄.₆₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄.S₃	96	4	C24.S3:7C2	288,191
C₂₄.S₃⋊₈C₂ = C₄₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂₄.S₃	144		C24.S3:8C2	288,273
C₂₄.S₃⋊₉C₂ = C₂₄.₉₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄.S₃	144		C24.S3:9C2	288,287
C₂₄.S₃⋊₁₀C₂ = C₁₆×C₃⋊S₃	φ: trivial image	144		C24.S3:10C2	288,272

Non-split extensions G=N.Q with N=C₂₄.S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₄.S₃.₁C₂ = C₃²⋊₂Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₂₄.S₃	96	4	C24.S3.1C2	288,198
C₂₄.S₃.₂C₂ = C₃²⋊₇Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₂₄.S₃	288		C24.S3.2C2	288,304
C₂₄.S₃.₃C₂ = C₃²⋊₂C₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₂₄.S₃	96	4	C24.S3.3C2	288,188

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