Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C13 ⋊ #17856 |
678 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
Polycyclic presentation:
2^8,13|a^2=f,b^2=g,c^2=fg,e^2=g,f^2=h,b^a=be,d^a=dg,e^a=eg,i^a=i^8,e^b=eg,d^c=dg,i^c=i^8,i^d=i^12,i^f=i^12172 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1101894);