Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C17×#328 ⋊ C4 |
| Sylow | C17 ⋊ #8219 |
720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^8,17|a^2=e,b^2=f,c^2=eg,d^2=g,b^a=bd,d^a=dg,f^a=fgh,i^a=i^4,c^b=ch,d^b=dh,i^c=i^13,i^e=i^16140 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1087315);