Finite Group DatabasebetaFinite Group Databasebeta| order | 13568 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32 · Schur multiplier (H2) = C22 |
| direct product | Q8×#13133267 |
| Sylow | C53 ⋊ Q8×C32 |
166 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13568 |
680 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13568, 1098139);