Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | Q8×#13133241 |
| Fitting | Q8×D8×C53 ⋊ C2 |
| Sylow | C53 ⋊ Q8×AGL(1,ℤ/8) |
2010 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3392 |
965 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1050138);