Finite Group DatabasebetaFinite Group Databasebeta| order | 33568 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊#16862310 |
| unambiguous semidirect product | D1049⋊(C22⋊C4) |
| unambiguous semidirect product | (C2×#16862310)⋊C22 |
| Fitting | C23×C1049 ⋊ C4 |
| Sylow | C1049 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8392 |
2116 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33568, 223);