Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C23×C42 |
| direct product | #431×#6923 |
| Fitting | C61×#431 ⋊ C4 |
| Sylow | C61 ⋊ C4×#431 |
1318 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1952 |
760 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 1103876);