Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×C8×#11758198 |
| Fitting | C22×C4×C8×C61 ⋊ C2 |
| Sylow | C61 ⋊ C2×C8×C22⋊C4 |
2046 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7808 |
4000 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 167137);