Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C8×D4×C13 ⋊ C4 |
| Sylow | C13 ⋊ #8200 |
590 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^8,13|a^2=e,b^2=f,c^2=e,d^2=g,e^2=h,f^2=g,b^a=bd,d^a=dg,f^a=fg,c^b=cg,i^b=i^8,i^f=i^12208 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1087230);