Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | D4×#14519716 |
| Fitting | D4×C16×C61 ⋊ C2 |
| Sylow | C61 ⋊ D4×M32 |
734 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, 322776);