Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C13 ⋊ #29439 |
626 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3328 |
Polycyclic presentation:
2^8,13|a^2=f,b^2=e,c^2=h,d^2=gh,f^2=h,b^a=be,c^a=cf,d^a=de,c^b=cg,d^b=dh,i^b=i^12,f^c=fh,i^c=i^12274 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 272750);