Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C13×#553 ⋊ C4 |
| Sylow | C13 ⋊ #17547 |
1166 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^8,13|a^2=f,e^2=h,b^a=be,e^a=eg,i^a=i^8,e^b=eh,f^b=fgh,i^b=i^12,d^c=dg,i^c=i^12,i^f=i^12136 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1100548);