Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C4×C13×#121 ⋊ C2 |
| Sylow | C13 ⋊ #34594 |
2362 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
Polycyclic presentation:
2^8,13|b^2=f,c^2=f,e^2=fg,b^a=bf,c^a=cg,d^a=dh,c^b=ch,i^c=i^12400 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 336423);