Finite Group DatabasebetaFinite Group Databasebeta| order | 33300 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C37⋊C3×C3⋊#1035 |
| unambiguous semidirect product | C3⋊(#1035×C37⋊C3) |
| unambiguous semidirect product | (C37×C3⋊#1035)⋊C3 |
| Fitting, derived | C3×C25×C37 ⋊ C3×C4 |
| Hall | C3×C25×C37⋊C3 ⋊ C4 |
| Hall | C25×C37 ⋊ C3×Dic3 |
| Hall | C3×C37⋊C3 ⋊ #1035 |
| Sylow | C37 ⋊ C3×C3⋊#1035 |
| Sylow | C25 ⋊ Dic3×C37⋊C3 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2775 |
360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33300, 128);