Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27×C4 |
| direct product | C2×#20285818 |
| Fitting | C2×C53×#542 ⋊ C2 |
| Sylow | C53 ⋊ C2×#3225 |
2086 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6784 |
1196 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1040957);