Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#16840198 |
| Fitting | C2×C4×D8×C61 ⋊ C2 |
| Sylow | C61 ⋊ C4×#509 |
738 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3904 |
1744 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 322886);