Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C22×C42 |
| direct product | C4×#11763688 |
| Fitting | C4×M16×C17 ⋊ C4 |
| Sylow | C17 ⋊ C4×#343 |
994 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, 1091885);