Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C4 |
| direct product | C2×#382×D61 |
| Fitting | C2×C61×#382 ⋊ C2 |
| Sylow | C61 ⋊ C22×#382 |
4286 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7808 |
1792 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 327840);