Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D61×AGL(1,ℤ/16) |
| Fitting | C61×AGL(1,ℤ/16) ⋊ C2 |
| Sylow | C61 ⋊ C2×AGL(1,ℤ/16) |
710 conjugacy classes of subgroups.
| transitive degree | μt(G) = 976 |
736 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 323005);