Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C13×#424 ⋊ C4 |
| Sylow | C13 ⋊ #11350 |
594 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^8,13|a^2=g,b^2=de,c^2=de,d^2=h,b^a=bd,c^a=ce,d^a=dh,f^a=fh,i^a=i^8,c^b=cf,d^c=dh,e^c=eh,i^g=i^12136 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1093160);