Finite Group DatabasebetaFinite Group Databasebeta| order | 35968 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#22582863 |
| Fitting | C4×C22⋊C4×C281 ⋊ C2 |
| Sylow | C281 ⋊ C4×#123 |
688 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17984 |
5656 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35968, 7034);