Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#14544735 |
| unambiguous semidirect product | D17⋊#1854 |
| Fitting | C2×C17×C22⋊C8 ⋊ C4 |
| Sylow | C17 ⋊ C2×#1854 |
1662 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
236 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1105022);