Extensions 1→N→G→Q→1 with N=Q₈.₁₃D₆ and Q=C₂

Direct product G=N×Q with N=Q₈.₁₃D₆ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈.₁₃D₆		96		C2xQ8.13D6	192,1380

Semidirect products G=N:Q with N=Q₈.₁₃D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁₃D₆⋊₁C₂ = S₃×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₃D₆	48	4	Q8.13D6:1C2	192,1326
Q₈.₁₃D₆⋊₂C₂ = SD₁₆⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₃D₆	48	4	Q8.13D6:2C2	192,1327
Q₈.₁₃D₆⋊₃C₂ = D₈⋊₅D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₃D₆	48	8+	Q8.13D6:3C2	192,1333
Q₈.₁₃D₆⋊₄C₂ = D₈⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₃D₆	48	8-	Q8.13D6:4C2	192,1334
Q₈.₁₃D₆⋊₅C₂ = C₂₄.C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₃D₆	48	8+	Q8.13D6:5C2	192,1337
Q₈.₁₃D₆⋊₆C₂ = SD₁₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₃D₆	96	8-	Q8.13D6:6C2	192,1338
Q₈.₁₃D₆⋊₇C₂ = C₁₂.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₃D₆	48	4	Q8.13D6:7C2	192,1381
Q₈.₁₃D₆⋊₈C₂ = D₁₂.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₃D₆	48	8+	Q8.13D6:8C2	192,1394
Q₈.₁₃D₆⋊₉C₂ = D₁₂.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₃D₆	48	8-	Q8.13D6:9C2	192,1395
Q₈.₁₃D₆⋊₁₀C₂ = D₁₂.₃₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₃D₆	48	8+	Q8.13D6:10C2	192,1396
Q₈.₁₃D₆⋊₁₁C₂ = D₁₂.₃₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₃D₆	96	8-	Q8.13D6:11C2	192,1397

Non-split extensions G=N.Q with N=Q₈.₁₃D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁₃D₆.₁C₂ = M₄(2).₂₂D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₃D₆	48	4	Q8.13D6.1C2	192,382
Q₈.₁₃D₆.₂C₂ = C₄².₁₉₆D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₃D₆	48	4	Q8.13D6.2C2	192,383
Q₈.₁₃D₆.₃C₂ = C₂₄.₅₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈.₁₃D₆	48	4	Q8.13D6.3C2	192,704
Q₈.₁₃D₆.₄C₂ = C₂₄.₁₀₀D₄	φ: trivial image	48	4	Q8.13D6.4C2	192,703

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁