Finite Group DatabasebetaFinite Group Databasebeta| order | 36224 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×C283⋊#338 |
| unambiguous semidirect product | (C2×C283)⋊#338 |
| Sylow | C283 ⋊ C2×#338 |
372 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
5684 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36224, 4213);