Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C13×#428 ⋊ C4 |
| Sylow | C13 ⋊ #21034 |
974 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^8,13|a^2=g,b^2=g,c^2=e,d^2=h,f^2=h,b^a=be,c^a=cf,d^a=dh,f^a=fh,i^a=i^5,i^b=i^8,f^c=fh,i^g=i^12130 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1105403);