Finite Group DatabasebetaFinite Group Databasebeta| order | 26862 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C37×C121 · Schur multiplier (H2) = C1 |
| direct product | D3×C37×C121 |
| unambiguous semidirect product | C3⋊(C2×C37×C121) |
| Fitting, Hall | C3×C37×C121 ⋊ C2 |
| derived, Sylow | C3 ⋊ C2×C37×C121 |
| Hall | C3×C121 ⋊ C2×C37 |
| Hall | C3×C37 ⋊ C2×C121 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13431 |
13431 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26862, 6);