Finite Group DatabasebetaFinite Group Databasebeta| order | 22336 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#26013661 |
| Fitting | C22×C8×C349 ⋊ C2 |
| Sylow | C349 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11168 |
5596 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22336, 1331);