Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C16 · Schur multiplier (H2) = C25 |
| direct product | Q8×D61⋊C16 |
| unambiguous semidirect product | D61⋊(Q8×C16) |
| Sylow | C61 ⋊ C2×Q8×C16 |
582 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7808 |
760 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 1113896);