Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C22×C17×C22⋊C8 ⋊ C2 |
| Sylow | C17 ⋊ #23479 |
1610 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^8,17|c^2=e,d^2=h,f^2=h,b^a=be,c^a=cf,f^a=fh,i^a=i^16,c^b=cg,f^c=fh,i^c=i^16704 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 197051);