Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×#16810891 |
| Fitting | C22×AGL(1,ℤ/8)×C53 ⋊ C2 |
| Sylow | C53 ⋊ C22×#472 |
2886 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3392 |
1208 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1036947);