Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C17×#1279 ⋊ C2 |
| Sylow | C17 ⋊ #8170 |
718 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^8,17|a^2=e,b^2=f,c^2=e,d^2=g,f^2=h,b^a=bd,d^a=dg,f^a=fg,c^b=cg,i^c=i^16536 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 60169);