Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C4×#11762918 |
| Fitting | C4×C17×#102 ⋊ C2 |
| Sylow | C17 ⋊ C4×#442 |
1326 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
536 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 168048);