Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C13×#340 ⋊ C4 |
| Sylow | C13 ⋊ #11257 |
814 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^8,13|a^2=g,b^2=eh,c^2=d,f^2=h,b^a=bd,c^a=ce,i^a=i^8,c^b=cf,f^b=fh,f^c=fh,i^g=i^12148 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1093053);