Finite Group DatabasebetaFinite Group Databasebeta| order | 23168 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#26041677 |
| Sylow | C181 ⋊ C2×#498 |
424 conjugacy classes of subgroups.
| transitive degree | μt(G) = 23168 |
5804 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23168, 15009);