Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C8×C13×C22⋊C4 ⋊ C2 |
| Sylow | C13 ⋊ #20561 |
990 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
Polycyclic presentation:
2^8,13|a^2=f,b^2=g,c^2=f,f^2=h,b^a=be,c^a=ch,d^a=de,i^a=i^12,c^b=ce,d^b=dh,i^b=i^12568 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 168529);