Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | C2×C13×#442 ⋊ C2 |
| Sylow | C13 ⋊ #61079 |
2826 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^8,13|f^2=h,b^a=bf,c^a=cg,e^a=eh,f^a=fh,i^a=i^12,d^b=df,f^b=fh,e^c=eh,i^c=i^12,f^d=fh316 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1045458);