Finite Group DatabasebetaFinite Group Databasebeta| order | 26950 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C7×C25 · Schur multiplier (H2) = C1 |
| direct product | C7×C25×D77 |
| unambiguous semidirect product | C7⋊(C7×D11×C25) |
| Fitting, Hall | C72×C11×C25 ⋊ C2 |
| derived | C7×C11 ⋊ C2×C7×C25 |
| Hall | C72×C25 ⋊ D11 |
| Hall | C72×C11 ⋊ C2×C25 |
| Hall | C11×C25 ⋊ C7×D7 |
| Sylow | C72 ⋊ D11×C25 |
| Sylow | C11 ⋊ C7×D7×C25 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3850 |
7000 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26950, 42);