Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | Q16×#11719940 |
| Sylow | C53 ⋊ M16×Q16 |
638 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6784 |
434 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1102992);