Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#24909312 |
| Fitting | C2×#358×C83 ⋊ C2 |
| Sylow | C83 ⋊ C2×C4×SD32 |
742 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10624 |
1892 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 322832);