Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C27×C4 |
| unambiguous semidirect product | (C2×#595)⋊#95 |
| Fitting | C2×C17×#95 ⋊ C4 |
| Sylow | C17 ⋊ #7554 |
3158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^8,17|a^2=f,b^2=g,c^2=h,b^a=bd,c^a=ce,i^b=i^13,i^g=i^16272 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1084874);