Finite Group DatabasebetaFinite Group Databasebeta| order | 34688 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×#22576160 |
| Sylow | C271 ⋊ C22×C4⋊Q8 |
1624 conjugacy classes of subgroups.
| transitive degree | μt(G) = 34688 |
8696 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34688, 17786);