Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C13×#2095 ⋊ C2 |
| Sylow | C13 ⋊ #25956 |
986 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
Polycyclic presentation:
2^8,13|a^2=f,b^2=h,c^2=fh,e^2=h,b^a=be,c^a=cf,d^a=de,e^a=eh,i^a=i^12,c^b=cg,e^b=eh,i^c=i^12,e^d=eh,i^d=i^12244 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 226718);