Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Fitting | C17×#2912 ⋊ C2 |
| Sylow | C17 ⋊ #60462 |
2666 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^8,17|a^2=h,b^2=fh,f^2=h,b^a=bf,c^a=cg,f^a=fh,i^a=i^16,c^b=ch,i^c=i^16,e^d=eh410 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1036936);