Finite Group DatabasebetaFinite Group Databasebeta| order | 33568 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#30680924 |
| derived, Sylow | C1049 ⋊ C22×C8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16784 |
2128 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33568, 229);