Finite Group DatabasebetaFinite Group Databasebeta| order | 33450 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C25×C223 · Schur multiplier (H2) = C1 |
| direct product | D3×C25×C223 |
| unambiguous semidirect product | C3⋊(C2×C25×C223) |
| Fitting, Hall | C3×C25×C223 ⋊ C2 |
| derived, Sylow | C3 ⋊ C2×C25×C223 |
| Hall | C3×C223 ⋊ C2×C25 |
| Hall | C3×C25 ⋊ C2×C223 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16725 |
16725 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(33450, 6);