Finite Group DatabasebetaFinite Group Databasebeta| order | 26532 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4×C11 · Schur multiplier (H2) = C3 |
| direct product | C3×C11×(C67⋊C3)⋊C4 |
| unambiguous semidirect product | (C11×Dic67)⋊C32 |
| unambiguous semidirect product | (C3×C11×Dic67)⋊C3 |
| derived, Sylow | C67 ⋊ C32×C4×C11 |
| Hall | C3×C11×C67⋊C3 ⋊ C4 |
| Hall | C11×Dic67 ⋊ C32 |
| Hall | C11×C67 ⋊ C32×C4 |
| Hall | C3×C67⋊C3 ⋊ C4×C11 |
| Hall | Dic67 ⋊ C32×C11 |
72 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8844 |
1122 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26532, 61);