Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C4 · Schur multiplier (H2) = C214 |
| direct product | C22×C4×Q8×D61 |
| Fitting | C22×C4×Q8×C61 ⋊ C2 |
| Sylow | C61 ⋊ C23×C4×Q8 |
12446 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7808 |
2560 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 1076135);