| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C22⋊C4×#13050573 |
| Fitting | C8×C22⋊C4×C83 ⋊ C2 |
| Sylow | C83 ⋊ C22⋊C4×M16 |
1774 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5312 |
3380 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 167196);