Extensions 1→N→G→Q→1 with N=Q₁₆⋊S₃ and Q=C₂

Direct product G=N×Q with N=Q₁₆⋊S₃ and Q=C₂

		d	ρ	Label	ID
C₂×Q₁₆⋊S₃		96		C2xQ16:S3	192,1323

Semidirect products G=N:Q with N=Q₁₆⋊S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆⋊S₃⋊₁C₂ = S₃×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out Q₁₆⋊S₃	48	8-	Q16:S3:1C2	192,1335
Q₁₆⋊S₃⋊₂C₂ = D₂₄⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out Q₁₆⋊S₃	48	8+	Q16:S3:2C2	192,1336
Q₁₆⋊S₃⋊₃C₂ = C₂₄.C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₁₆⋊S₃	48	8+	Q16:S3:3C2	192,1337
Q₁₆⋊S₃⋊₄C₂ = SD₁₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₁₆⋊S₃	96	8-	Q16:S3:4C2	192,1338
Q₁₆⋊S₃⋊₅C₂ = D₁₂.₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₁₆⋊S₃	96	4	Q16:S3:5C2	192,1325
Q₁₆⋊S₃⋊₆C₂ = D₈⋊₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₁₆⋊S₃	48	4	Q16:S3:6C2	192,1329
Q₁₆⋊S₃⋊₇C₂ = SD₁₆⋊D₆	φ: trivial image	48	4	Q16:S3:7C2	192,1327

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁