Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
| direct product | C2×D17⋊#421 |
| unambiguous semidirect product | D17⋊(C2×#421) |
| Fitting | C22×#41×C17 ⋊ C4 |
| Sylow | C17 ⋊ C22×#421 |
5198 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
248 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1114758);