Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C13×#2179 ⋊ C2 |
| Sylow | C13 ⋊ #33464 |
642 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^8,13|a^2=f,c^2=f,e^2=gh,f^2=h,g^2=h,b^a=be,e^a=eg,g^a=gh,e^b=eg,g^b=gh,i^b=i^12,d^c=dh,i^d=i^12256 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 322986);