Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C4 · Schur multiplier (H2) = C214 |
| direct product | C2×D53⋊#568 |
| unambiguous semidirect product | D53⋊(C2×#568) |
| Sylow | C53 ⋊ C22×#568 |
11118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1696 |
656 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1116299);