Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C13×#444 ⋊ C4 |
| Sylow | C13 ⋊ #20510 |
1006 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^8,13|a^2=f,b^2=g,c^2=g,d^2=f,e^2=h,f^2=h,b^a=be,c^a=ch,e^a=eh,i^a=i^5,e^b=eh,i^b=i^5,i^c=i^5,i^d=i^8,i^f=i^12,i^g=i^12154 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1104078);