Finite Group DatabasebetaFinite Group Databasebeta| order | 35456 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×#22579854 |
| Fitting | C22×C42×C277 ⋊ C2 |
| Sylow | C277 ⋊ C4×#121 |
824 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17728 |
8888 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35456, 7023);