Finite Group DatabasebetaFinite Group Databasebeta| order | 30636 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C23 · Schur multiplier (H2) = C1 |
| direct product | C23×#13050607 |
| derived, Sylow | C37 ⋊ C4×C9×C23 |
| Hall | C23×#66524 ⋊ C4 |
| Hall | C23×Dic37 ⋊ C9 |
| Hall | C23×C37 ⋊ C4×C9 |
| Hall | #66524 ⋊ C4×C23 |
| Hall | Dic37 ⋊ C9×C23 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 30636 |
1656 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30636, 10);