Finite Group DatabasebetaFinite Group Databasebeta| order | 25408 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#27163118 |
| Fitting | C22×C8×C397 ⋊ C2 |
| Sylow | C397 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12704 |
6364 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25408, 1331);