Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q32×D281 |
| Fitting | Q32×C281 ⋊ C2 |
| Sylow | C281 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8992 |
1562 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD64×D281, Q64×D281, #49097619, … |
| maximal normal subgroup of | SD64×D281, Q64×D281, #49097619, … |
| maximal quotient of | #358×D281, #366×D281, #49097159, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 975);