Extensions 1→N→G→Q→1 with N=Q₈⋊D₁₅ and Q=C₂

Direct product G=N×Q with N=Q₈⋊D₁₅ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈⋊D₁₅		80		C2xQ8:D15	480,1028

Semidirect products G=N:Q with N=Q₈⋊D₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊D₁₅⋊₁C₂ = Q₈.D₃₀	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊D₁₅	80	4	Q8:D15:1C2	480,1029
Q₈⋊D₁₅⋊₂C₂ = C₂₀.₃S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊D₁₅	80	4+	Q8:D15:2C2	480,1032
Q₈⋊D₁₅⋊₃C₂ = Dic₅.₇S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊D₁₅	80	4+	Q8:D15:3C2	480,969
Q₈⋊D₁₅⋊₄C₂ = GL₂(𝔽₃)⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊D₁₅	80	4+	Q8:D15:4C2	480,970
Q₈⋊D₁₅⋊₅C₂ = D₁₀.₂S₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊D₁₅	80	4	Q8:D15:5C2	480,973
Q₈⋊D₁₅⋊₆C₂ = D₅×GL₂(𝔽₃)	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊D₁₅	40	4	Q8:D15:6C2	480,974
Q₈⋊D₁₅⋊₇C₂ = C₂₀.₆S₄	φ: trivial image	80	4	Q8:D15:7C2	480,1031

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁