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		144		C2xC24:S3	288,757

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₄⋊S₃⋊₁C₂ = C₂₄⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊S₃	48	4	C24:S3:1C2	288,446
C₂₄⋊S₃⋊₂C₂ = D₁₂.₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊S₃	48	4	C24:S3:2C2	288,459
C₂₄⋊S₃⋊₃C₂ = C₂₄⋊₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊S₃	72		C24:S3:3C2	288,771
C₂₄⋊S₃⋊₄C₂ = C₂₄.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊S₃	144		C24:S3:4C2	288,772
C₂₄⋊S₃⋊₅C₂ = C₂₄⋊₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊S₃	72		C24:S3:5C2	288,768
C₂₄⋊S₃⋊₆C₂ = C₂₄.₃₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊S₃	144		C24:S3:6C2	288,775
C₂₄⋊S₃⋊₇C₂ = S₃×C₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊S₃	48	4	C24:S3:7C2	288,438
C₂₄⋊S₃⋊₈C₂ = C₂₄.₆₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊S₃	48	4	C24:S3:8C2	288,452
C₂₄⋊S₃⋊₉C₂ = M₄(2)×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊S₃	72		C24:S3:9C2	288,763
C₂₄⋊S₃⋊₁₀C₂ = C₂₄.₄₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊S₃	144		C24:S3:10C2	288,764
C₂₄⋊S₃⋊₁₁C₂ = C₂₄.₉₅D₆	φ: trivial image	144		C24:S3:11C2	288,758

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