Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C42 |
| direct product | C4×#11762712 |
| Sylow | C17 ⋊ C4×#390 |
2894 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
752 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 90754);