Finite Group DatabasebetaFinite Group Databasebeta| order | 33300 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4×C5×C37 · Schur multiplier (H2) = C3 |
| direct product | C32×C5×Dic5×C37 |
| derived | C5 ⋊ C32×C4×C5×C37 |
| Hall | C32×C52×C37 ⋊ C4 |
| Hall | C52×C37 ⋊ C32×C4 |
| Hall | C32×C52 ⋊ C4×C37 |
| Sylow | C52 ⋊ C32×C4×C37 |
192 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6660 |
13320 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33300, 410);