Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27×C4 |
No aliases for this group.
| Fitting | C2×C11×#533 ⋊ C2 |
| Sylow | C11 ⋊ #36639 |
2782 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
Polycyclic presentation:
2^8,11|b^2=h,d^2=f,e^2=g,b^a=bf,c^a=cg,d^a=dh,i^a=i^10,i^b=i^10,i^d=i^10368 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 375645);