Finite Group DatabasebetaFinite Group Databasebeta| order | 32428 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C121 · Schur multiplier (H2) = C2 |
| direct product | C2×C121×D67 |
| Fitting | C2×C67×C121 ⋊ C2 |
| derived, Sylow | C67 ⋊ C22×C121 |
| Hall | C67×C121 ⋊ C22 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16214 |
8470 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32428, 13);