Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#24908351 |
| Fitting | C22×C4×C8×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×#1974 |
1558 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5312 |
5336 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 173509);