Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C22⋊Q8×#3633 |
| Fitting | C17×C22⋊Q8 ⋊ C8 |
| Sylow | C17 ⋊ C8×C22⋊Q8 |
990 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
140 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1118161);