Finite Group DatabasebetaFinite Group Databasebeta| order | 23264 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#26042723 |
| Fitting | C2×C8×C727 ⋊ C2 |
| Sylow | C727 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11632 |
5828 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23264, 150);