Extensions 1→N→G→Q→1 with N=D₄⋊₂S₃ and Q=C₂

Direct product G=N×Q with N=D₄⋊₂S₃ and Q=C₂

		d	ρ	Label	ID
C₂×D₄⋊₂S₃		48		C2xD4:2S3	96,210

Semidirect products G=N:Q with N=D₄⋊₂S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂S₃⋊₁C₂ = D₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂S₃	24	4	D4:2S3:1C2	96,118
D₄⋊₂S₃⋊₂C₂ = D₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂S₃	48	4-	D4:2S3:2C2	96,119
D₄⋊₂S₃⋊₃C₂ = Q₈.₇D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂S₃	48	4	D4:2S3:3C2	96,123
D₄⋊₂S₃⋊₄C₂ = D₄⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂S₃	24	4	D4:2S3:4C2	96,211
D₄⋊₂S₃⋊₅C₂ = Q₈○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂S₃	48	4-	D4:2S3:5C2	96,217
D₄⋊₂S₃⋊₆C₂ = S₃×C₄○D₄	φ: trivial image	24	4	D4:2S3:6C2	96,215

Non-split extensions G=N.Q with N=D₄⋊₂S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂S₃.C₂ = D₄.D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₂S₃	48	4-	D4:2S3.C2	96,122

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