Finite Group DatabasebetaFinite Group Databasebeta| order | 38628 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C29 · Schur multiplier (H2) = C1 |
| direct product | C29×#13050625 |
| derived, Sylow | C37 ⋊ C4×C9×C29 |
| Hall | C29×#66526 ⋊ C4 |
| Hall | C29×Dic37 ⋊ C9 |
| Hall | C29×C37 ⋊ C4×C9 |
| Hall | #66526 ⋊ C4×C29 |
| Hall | Dic37 ⋊ C9×C29 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4292 |
1160 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(38628, 54);