Finite Group DatabasebetaFinite Group Databasebeta| order | 27584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#20293783 |
| Fitting | C22×C8×C431 ⋊ C2 |
| Sylow | C431 ⋊ C22×M16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13792 |
6920 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27584, 1308);