Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | SD32×D281 |
| Fitting | SD32×C281 ⋊ C2 |
| Sylow | C281 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4496 |
1562 conjugacy classes. The character table is too large to display.
| maximal quotient of | #357×D281, #358×D281, #367×D281, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 971);