Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×#16811663 |
| unambiguous semidirect product | D53⋊(C2×#441) |
| Fitting | C22×Q16×C53 ⋊ C4 |
| Sylow | C53 ⋊ C22×#441 |
2790 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3392 |
452 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1115000);