| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C42 |
| direct product | C4×#19127601 |
| Fitting | C2×C4×C22⋊C4×C83 ⋊ C2 |
| Sylow | C83 ⋊ C4×#390 |
2894 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10624 |
3392 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 90752);