Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C214 |
| direct product | C2×#20288355 |
| Fitting | C22×H(5,𝔽2)×C53 ⋊ C2 |
| Sylow | C53 ⋊ C2×#3485 |
11686 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3392 |
1856 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1077609);