Finite Group DatabasebetaFinite Group Databasebeta| order | 17984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#17985128 |
| Sylow | C281 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17984 |
2828 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49094107, C8×#17985128, #49094119, … |
| maximal normal subgroup of | #49094107, C8×#17985128, #49094119, … |
| maximal quotient of | C8×#17985128, #49094151, #49094153, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17984, 642);