Finite Group DatabasebetaFinite Group Databasebeta| order | 26532 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9×C11 · Schur multiplier (H2) = C2 |
| derived, Sylow | C67 ⋊ C22×C9×C11 |
| Hall | (C67⋊C9)⋊C11 ⋊ C22 |
| Hall | C2×D67⋊C11 ⋊ C9 |
| Hall | C2×D67⋊C9 ⋊ C11 |
| Hall | C67⋊C11 ⋊ C22×C9 |
| Hall | C67⋊C9 ⋊ C22×C11 |
| Hall | C2×D67 ⋊ C9×C11 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1206 |
402 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26532, 20);