Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | Q8×C13×M16 ⋊ C2 |
| Sylow | C13 ⋊ #60192 |
1882 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^8,13|a^2=g,b^2=f,c^2=fg,g^2=h,b^a=bf,e^a=eh,d^c=dh,i^d=i^12,i^e=i^12388 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1033964);