Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C4 · Schur multiplier (H2) = C214 |
| direct product | C22×#11763876 |
| unambiguous semidirect product | D17⋊(C2×#518) |
| Fitting | C23×D4×C17 ⋊ C4 |
| Sylow | C17 ⋊ C22×#518 |
14590 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
296 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1116280);