Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26×C4 |
No aliases for this group.
| Fitting | C23×C13×D8 ⋊ C2 |
| Sylow | C13 ⋊ #23387 |
2334 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^8,13|e^2=h,b^a=be,c^a=cf,e^a=eh,c^b=cg,e^b=eh,d^c=dh,i^c=i^12388 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 196377);