Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C22×C11×M32 ⋊ C2 |
| Sylow | C11 ⋊ #33433 |
682 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
Polycyclic presentation:
2^8,11|a^2=f,c^2=f,f^2=g,g^2=h,b^a=be,d^a=dh,i^a=i^10,c^b=ch488 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 322748);