Finite Group DatabasebetaFinite Group Databasebeta| order | 36224 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | #102×Dic283 |
| Sylow | C283 ⋊ C4×#102 |
396 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
4004 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36224, 4327);