Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42 |
No aliases for this group.
| Fitting | C13×#386 ⋊ C4 |
| Sylow | C13 ⋊ #13832 |
1998 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^8,13|a^2=g,b^2=h,c^2=eg,b^a=be,c^a=cf,d^a=def,i^a=i^5,c^b=cef,d^b=de,i^c=i^8,i^g=i^12160 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1098325);