Finite Group DatabasebetaFinite Group Databasebeta| order | 23168 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#26042346 |
| unambiguous semidirect product | D181⋊#518 |
| Fitting | C22×D4×C181 ⋊ C4 |
| Sylow | C181 ⋊ C2×#518 |
1920 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2896 |
968 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23168, 21487);