Finite Group DatabasebetaFinite Group Databasebeta| order | 23168 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C4×#19153863 |
| Fitting | C4×#41×C181 ⋊ C2 |
| Sylow | C181 ⋊ C4×2−1+4 |
1492 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11584 |
3668 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23168, 17720);