Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C43 · Schur multiplier (H2) = C22×C43 |
No aliases for this group.
| Fitting | C13×#405 ⋊ C4 |
| Sylow | C13 ⋊ #20331 |
1470 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^8,13|a^2=e,b^2=f,c^2=g,e^2=h,c^a=ch,d^b=dh,i^c=i^8,i^g=i^12256 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1103386);