Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25 |
| direct product | Q8×#14581703 |
| Sylow | C83 ⋊ Q8×#97 |
954 conjugacy classes of subgroups.
| transitive degree | μt(G) = 21248 |
3380 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 168237);