Finite Group DatabasebetaFinite Group Databasebeta| order | 15616 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#21444911 |
| Fitting | C2×C61×D4⋊C8 ⋊ C2 |
| Sylow | C61 ⋊ C2×#1625 |
1322 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7808 |
1732 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15616, 145268);