Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27×C4 |
| direct product | C22×#19128050 |
| Sylow | C83 ⋊ C22×#487 |
2398 conjugacy classes of subgroups.
| transitive degree | μt(G) = 21248 |
2384 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 1038756);