Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C22×C43 |
No aliases for this group.
| Fitting | C13×#2858 ⋊ C2 |
| Sylow | C13 ⋊ #33306 |
1502 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
Polycyclic presentation:
2^8,13|b^2=e,c^2=f,d^2=gh,e^2=h,b^a=be,c^a=cf,d^a=dg,e^a=eh,c^b=ch,i^b=i^12316 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 322112);