Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | Q8×#14519797 |
| Fitting | Q8×#41×C61 ⋊ C2 |
| Sylow | C61 ⋊ Q8×#135 |
1786 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7808 |
1570 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 1050031);