Extensions 1→N→G→Q→1 with N=D₄⋊₂S₃ and Q=C₆

Direct product G=N×Q with N=D₄⋊₂S₃ and Q=C₆

		d	ρ	Label	ID
C₆×D₄⋊₂S₃		48		C6xD4:2S3	288,993

Semidirect products G=N:Q with N=D₄⋊₂S₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂S₃⋊₁C₆ = C₃×D₈⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊₂S₃	48	4	D4:2S3:1C6	288,682
D₄⋊₂S₃⋊₂C₆ = C₃×D₈⋊₃S₃	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊₂S₃	48	4	D4:2S3:2C6	288,683
D₄⋊₂S₃⋊₃C₆ = C₃×Q₈.₇D₆	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊₂S₃	48	4	D4:2S3:3C6	288,687
D₄⋊₂S₃⋊₄C₆ = C₃×D₄⋊₆D₆	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊₂S₃	24	4	D4:2S3:4C6	288,994
D₄⋊₂S₃⋊₅C₆ = C₃×Q₈○D₁₂	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊₂S₃	48	4	D4:2S3:5C6	288,1000
D₄⋊₂S₃⋊₆C₆ = C₃×S₃×C₄○D₄	φ: trivial image	48	4	D4:2S3:6C6	288,998

Non-split extensions G=N.Q with N=D₄⋊₂S₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂S₃.C₆ = C₃×D₄.D₆	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊₂S₃	48	4	D4:2S3.C6	288,686

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