Finite Group DatabasebetaFinite Group Databasebeta| order | 23168 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29×C4 |
| direct product | C22×#19153813 |
| Fitting | C22×C42×C181 ⋊ C2 |
| Sylow | C181 ⋊ C22×#127 |
3000 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11584 |
5816 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23168, 17782);