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	288,702

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×S₃×D₈	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊S₃	48	4	D4:S3:1C6	288,681
D₄⋊S₃⋊₂C₆ = C₃×D₈⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊S₃	48	4	D4:S3:2C6	288,682
D₄⋊S₃⋊₃C₆ = C₃×Q₈⋊₃D₆	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊S₃	48	4	D4:S3:3C6	288,685
D₄⋊S₃⋊₄C₆ = C₃×Q₈.₇D₆	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊S₃	48	4	D4:S3:4C6	288,687
D₄⋊S₃⋊₅C₆ = C₃×D₁₂⋊₆C₂²	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊S₃	24	4	D4:S3:5C6	288,703
D₄⋊S₃⋊₆C₆ = C₃×D₄⋊D₆	φ: C₆/C₃ → C₂ ⊆ Out D₄⋊S₃	48	4	D4:S3:6C6	288,720
D₄⋊S₃⋊₇C₆ = C₃×Q₈.₁₃D₆	φ: trivial image	48	4	D4:S3:7C6	288,721

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁