Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | C22×C13×#131 ⋊ C2 |
| Sylow | C13 ⋊ #60142 |
2714 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^8,13|a^2=g,c^2=g,g^2=h,b^a=bf,e^a=eh,i^a=i^12,d^b=dh,d^c=dh568 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1033508);