Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42 |
| direct product | #388×#595 |
| Fitting | C17×#388 ⋊ C4 |
| Sylow | C17 ⋊ C4×#388 |
2134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
224 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1098188);