Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C17×#544 ⋊ C4 |
| Sylow | C17 ⋊ #11392 |
974 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^8,17|a^2=g,b^2=f,c^2=f,d^2=h,b^a=bd,c^a=ce,d^a=dh,i^a=i^13,c^b=cf,d^b=dh,e^b=eh,d^c=dh,i^g=i^16140 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1093215);