Finite Group DatabasebetaFinite Group Databasebeta| order | 34432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | SD16×C22⋊D269 |
| Fitting | C22×SD16×C269 ⋊ C2 |
| Sylow | C269 ⋊ D4×SD16 |
546 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8608 |
3787 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34432, 16200);