Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C16 · Schur multiplier (H2) = C25 |
| direct product | C2×D53⋊M64 |
| unambiguous semidirect product | D53⋊(C2×M64) |
| Sylow | C53 ⋊ C22×M64 |
502 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3392 |
992 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1114081);