Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#17985125 |
| Fitting | C22×Q8×C281 ⋊ C2 |
| Sylow | C281 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
2828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49095634, #49095640, #49095656, … |
| maximal normal subgroup of | #49095634, #49095640, #49095656, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 1321);