Finite Group DatabasebetaFinite Group Databasebeta| order | 33300 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5×C9 · Schur multiplier (H2) = C1 |
| direct product | C5×#20269007 |
| derived | C5×C37 ⋊ C4×C5×C9 |
| Hall | C52×#66524 ⋊ C4 |
| Hall | C5×Dic185 ⋊ C9 |
| Hall | C52×C37 ⋊ C4×C9 |
| Hall | #66524 ⋊ C5×Dic5 |
| Sylow | C37 ⋊ C5×C9×Dic5 |
| Sylow | C52 ⋊ #13050607 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6660 |
1260 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33300, 79);