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

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

		d	ρ	Label	ID
C₆×D₄.S₃		48		C6xD4.S3	288,704

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.S₃⋊₁C₆ = C₃×D₈⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out D₄.S₃	48	4	D4.S3:1C6	288,682
D₄.S₃⋊₂C₆ = C₃×D₈⋊₃S₃	φ: C₆/C₃ → C₂ ⊆ Out D₄.S₃	48	4	D4.S3:2C6	288,683
D₄.S₃⋊₃C₆ = C₃×S₃×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out D₄.S₃	48	4	D4.S3:3C6	288,684
D₄.S₃⋊₄C₆ = C₃×D₄.D₆	φ: C₆/C₃ → C₂ ⊆ Out D₄.S₃	48	4	D4.S3:4C6	288,686
D₄.S₃⋊₅C₆ = C₃×D₁₂⋊₆C₂²	φ: C₆/C₃ → C₂ ⊆ Out D₄.S₃	24	4	D4.S3:5C6	288,703
D₄.S₃⋊₆C₆ = C₃×Q₈.₁₄D₆	φ: C₆/C₃ → C₂ ⊆ Out D₄.S₃	48	4	D4.S3:6C6	288,722
D₄.S₃⋊₇C₆ = C₃×Q₈.₁₃D₆	φ: trivial image	48	4	D4.S3:7C6	288,721

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