Finite Group DatabasebetaFinite Group Databasebeta| order | 21568 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#24925027 |
| unambiguous semidirect product | D337⋊#106 |
| Fitting | C2×C8×C337 ⋊ C4 |
| Sylow | C337 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5392 |
1372 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21568, 1557);