Finite Group DatabasebetaFinite Group Databasebeta| order | 31936 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22×(C2×D499)⋊C4 |
| Fitting | C23×C4×C499 ⋊ C2 |
| Sylow | C499 ⋊ C22×C22⋊C4 |
674 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15968 |
8008 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31936, 996);