Finite Group DatabasebetaFinite Group Databasebeta| order | 17536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#22577167 |
| Sylow | C137 ⋊ C2×#341 |
392 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8768 |
2776 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17536, 4233);