Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4 |
| direct product | C22×#16810682 |
| Fitting | C22×C4×C8×C53 ⋊ C2 |
| Sylow | C53 ⋊ C22×#433 |
2310 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6784 |
3440 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1033283);