Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
| direct product | C4×D4×C22⋊D61 |
| Fitting | C22×C4×D4×C61 ⋊ C2 |
| Sylow | C61 ⋊ C4×D42 |
4804 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3904 |
2500 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 329352);