Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C27 |
| direct product | C22×#16840634 |
| Fitting | C22×M16×C61 ⋊ C4 |
| Sylow | C61 ⋊ C22×#339 |
2830 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1952 |
712 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 1103422);