Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| unambiguous semidirect product | D13⋊#2957 |
| Fitting | C2×C13×#135 ⋊ C4 |
| Sylow | C13 ⋊ C2×#2957 |
2642 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^8,13|a^2=g,c^2=g,f^2=h,g^2=h,b^a=bf,d^a=dh,f^a=fh,i^a=i^5,f^b=fh,d^c=dh,i^c=i^8,i^e=i^12,i^g=i^12172 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1115041);