Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42 |
| direct product | C4×#16839631 |
| Sylow | C61 ⋊ C4×#384 |
2094 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15616 |
2512 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 90792);