Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25×C4 |
| direct product | D61×#1984 |
| Fitting | C61×#1984 ⋊ C2 |
| Sylow | C61 ⋊ C2×#1984 |
1502 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, 174006);