Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C4 |
| direct product | C2×D17⋊#410 |
| unambiguous semidirect product | D17⋊(C2×#410) |
| Fitting | C22×#41×C17 ⋊ C4 |
| Sylow | C17 ⋊ C22×#410 |
5278 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, 1114713);