Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×C13×#343 ⋊ C2 |
| Sylow | C13 ⋊ #11017 |
1358 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^8,13|a^2=g,b^2=h,d^2=h,f^2=h,b^a=bd,c^a=ce,d^a=dh,i^a=i^12,c^b=cf,d^b=dh,f^b=fh,i^b=i^12,f^c=fh,i^c=i^12316 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 76335);