Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C13×#1278 ⋊ C2 |
| Sylow | C13 ⋊ #8186 |
498 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
Polycyclic presentation:
2^8,13|a^2=e,b^2=f,c^2=e,d^2=g,e^2=g,f^2=h,b^a=bd,d^a=dg,f^a=fg,c^b=ch,i^b=i^12,i^c=i^12412 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 60251);