Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C23×C13×C4⋊C4 ⋊ C2 |
| Sylow | C13 ⋊ #34989 |
2834 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^8,13|b^2=f,c^2=f,d^2=f,b^a=bf,c^a=cg,e^a=eh,i^a=i^12,c^b=ch,d^b=dh544 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 342217);