Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D2248 |
| Fitting | C4×C8×C281 ⋊ C2 |
| Sylow | C281 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
4508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49093263, #49093265, #49093269, … |
| maximal normal subgroup of | #49093263, #49093265, #49093269, … |
| maximal quotient of | C8×D2248, #49094134, #49094189, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 633);