Finite Group DatabasebetaFinite Group Databasebeta| order | 33568 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#30680916 |
| Fitting | C22×C4×C1049 ⋊ C2 |
| Sylow | C1049 ⋊ C2×#41 |
164 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16784 |
8404 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33568, 189);