Finite Group DatabasebetaFinite Group Databasebeta| order | 36544 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×C22⋊Dic571 |
| Sylow | C571 ⋊ C4×C22⋊C4 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18272 |
9160 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36544, 397);