Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22582824 |
| Fitting | C2×C16×C281 ⋊ C2 |
| Sylow | C281 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
4502 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49097154, C4×#22582824, #49097166, … |
| maximal normal subgroup of | #49097154, C4×#22582824, #49097166, … |
| maximal quotient of | C2×#31823265, C2×#31823268, C2×#31823291, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 974);