Finite Group DatabasebetaFinite Group Databasebeta| order | 26852 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C49 · Schur multiplier (H2) = C2 |
| direct product | C2×C49×D137 |
| unambiguous semidirect product | C137⋊(C22×C49) |
| unambiguous semidirect product | (C2×C137)⋊(C2×C49) |
| Fitting | C2×C49×C137 ⋊ C2 |
| derived, Sylow | C137 ⋊ C22×C49 |
| Hall | C49×C137 ⋊ C22 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13426 |
6860 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26852, 11);