Finite Group DatabasebetaFinite Group Databasebeta| order | 36544 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D4568 |
| Fitting | C4×C8×C571 ⋊ C2 |
| Sylow | C571 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18272 |
9148 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36544, 633);