Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C211 |
| direct product | C2×B(4,𝔽2)×D53 |
| Fitting | C2×C53×B(4,𝔽2) ⋊ C2 |
| Sylow | C53 ⋊ C22×B(4,𝔽2) |
7014 conjugacy classes of subgroups.
| transitive degree | μt(G) = 848 |
896 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1036279);