Finite Group DatabasebetaFinite Group Databasebeta| order | 32608 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#30654504 |
| Fitting | C22×C4×C1019 ⋊ C2 |
| Sylow | C1019 ⋊ C2×#41 |
164 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16304 |
8164 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32608, 189);