Finite Group DatabasebetaFinite Group Databasebeta| order | 17536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#22578413 |
| unambiguous semidirect product | D137⋊#427 |
| Fitting | C22×C8×C137 ⋊ C4 |
| Sylow | C137 ⋊ C2×#427 |
512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4384 |
1144 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17536, 21161);