Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=S₃

Direct product G=N×Q with N=C₂²⋊C₄ and Q=S₃

		d	ρ	Label	ID
S₃×C₂²⋊C₄		24		S3xC2^2:C4	96,87

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁S₃ = C₂³.₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₄	24	4	C2^2:C4:1S3	96,13
C₂²⋊C₄⋊₂S₃ = D₆⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₄	24		C2^2:C4:2S3	96,89
C₂²⋊C₄⋊₃S₃ = C₂³.₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4:3S3	96,90
C₂²⋊C₄⋊₄S₃ = Dic₃⋊D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4:4S3	96,91
C₂²⋊C₄⋊₅S₃ = C₂³.₁₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4:5S3	96,92
C₂²⋊C₄⋊₆S₃ = C₂³.₂₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4:6S3	96,93
C₂²⋊C₄⋊₇S₃ = Dic₃⋊₄D₄	φ: trivial image	48		C2^2:C4:7S3	96,88

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁S₃ = Dic₃.D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4.1S3	96,85
C₂²⋊C₄.₂S₃ = C₂³.₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4.2S3	96,86
C₂²⋊C₄.₃S₃ = C₂³.₁₆D₆	φ: trivial image	48		C2^2:C4.3S3	96,84

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