Extensions 1→N→G→Q→1 with N=C₂₄⋊₂S₃ and Q=C₂

Direct product G=N×Q with N=C₂₄⋊₂S₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₄⋊₂S₃		144		C2xC24:2S3	288,759

Semidirect products G=N:Q with N=C₂₄⋊₂S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₄⋊₂S₃⋊₁C₂ = D₂₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊₂S₃	48	4	C24:2S3:1C2	288,443
C₂₄⋊₂S₃⋊₂C₂ = Dic₁₂⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊₂S₃	48	4	C24:2S3:2C2	288,449
C₂₄⋊₂S₃⋊₃C₂ = C₂₄⋊₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊₂S₃	72		C24:2S3:3C2	288,765
C₂₄⋊₂S₃⋊₄C₂ = C₂₄.₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊₂S₃	144		C24:2S3:4C2	288,766
C₂₄⋊₂S₃⋊₅C₂ = C₂₄⋊₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊₂S₃	72		C24:2S3:5C2	288,768
C₂₄⋊₂S₃⋊₆C₂ = C₂₄.₃₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊₂S₃	144		C24:2S3:6C2	288,775
C₂₄⋊₂S₃⋊₇C₂ = S₃×C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊₂S₃	48	4	C24:2S3:7C2	288,440
C₂₄⋊₂S₃⋊₈C₂ = D₆.₁D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊₂S₃	48	4	C24:2S3:8C2	288,454
C₂₄⋊₂S₃⋊₉C₂ = SD₁₆×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊₂S₃	72		C24:2S3:9C2	288,770
C₂₄⋊₂S₃⋊₁₀C₂ = C₂₄.₄₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₄⋊₂S₃	144		C24:2S3:10C2	288,773
C₂₄⋊₂S₃⋊₁₁C₂ = C₂₄.₇₈D₆	φ: trivial image	144		C24:2S3:11C2	288,761

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