Finite Group DatabasebetaFinite Group Databasebeta| order | 25216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#20263334 |
| Fitting | C4×M16×C197 ⋊ C2 |
| Sylow | C197 ⋊ C4×#131 |
572 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12608 |
4000 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25216, 12934);