| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×Q8⋊C8×D61 |
| Fitting | C2×C61×Q8⋊C8 ⋊ C2 |
| Sylow | C61 ⋊ C22×Q8⋊C8 |
1454 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7808 |
1792 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 135912);