Finite Group DatabasebetaFinite Group Databasebeta| order | 36850 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C25×C67 · Schur multiplier (H2) = C1 |
| direct product | C67×D11⋊C25 |
| unambiguous semidirect product | D11⋊(C25×C67) |
| unambiguous semidirect product | (C11⋊C25)⋊(C2×C67) |
| unambiguous semidirect product | (D11×C67)⋊C25 |
| derived, Sylow | C11 ⋊ C2×C25×C67 |
| Hall | C67×C11⋊C25 ⋊ C2 |
| Hall | D11×C67 ⋊ C25 |
| Hall | C11×C67 ⋊ C2×C25 |
| Hall | C11⋊C25 ⋊ C2×C67 |
| Hall | D11 ⋊ C25×C67 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18425 |
3685 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(36850, 15);