Finite Group DatabasebetaFinite Group Databasebeta| order | 23168 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28×C4 |
| direct product | C2×#117×D181 |
| Fitting | C2×#117×C181 ⋊ C2 |
| Sylow | C181 ⋊ C22×#117 |
1880 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5792 |
3680 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23168, 17672);