Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#22582801 |
| Fitting | C22×C8×C281 ⋊ C2 |
| Sylow | C281 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
4508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49095117, C4×#22582801, #49095127, … |
| maximal normal subgroup of | #49095117, C4×#22582801, #49095127, … |
| maximal quotient of | C2×#31823192, #49093703, #49093729, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 537);