Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C42×C8 · Schur multiplier (H2) = C2×C42 |
| direct product | C4×#16840649 |
| Fitting | C4×C16×C61 ⋊ C4 |
| Sylow | C61 ⋊ C4×#346 |
510 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3904 |
1120 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 1095662);