Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C43 · Schur multiplier (H2) = C24×C43 |
| direct product | C42×#11758198 |
| Fitting | C2×C43×C61 ⋊ C2 |
| Sylow | C61 ⋊ C42×C22⋊C4 |
3342 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, 90644);