Finite Group DatabasebetaFinite Group Databasebeta| order | 22592 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×#19150722 |
| Fitting | C22×D4×C353 ⋊ C2 |
| Sylow | C353 ⋊ C22×D8 |
338 conjugacy classes of subgroups.
| transitive degree | μt(G) = 11296 |
3548 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22592, 1318);