Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C11×#1512 ⋊ C2 |
| Sylow | C11 ⋊ #17598 |
996 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
Polycyclic presentation:
2^8,11|a^2=f,b^2=g,e^2=h,b^a=be,c^a=ch,e^a=eg,e^b=eh,f^b=fgh,d^c=dg,i^c=i^10,i^d=i^10179 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 137103);