Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C11×#2168 ⋊ C2 |
| Sylow | C11 ⋊ #33509 |
484 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
Polycyclic presentation:
2^8,11|a^2=f,d^2=e,f^2=g,g^2=h,b^a=be,c^a=ch,d^a=de,i^a=i^10,c^b=ceh,d^b=dh,i^d=i^10356 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 323299);