Finite Group DatabasebetaFinite Group Databasebeta| order | 3520 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C5 · Schur multiplier (H2) = C4 |
| direct product | C11⋊C5×#498 |
| Fitting, Hall | C11×#498 ⋊ C5 |
| Sylow | C11 ⋊ C5×#498 |
196 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
154 conjugacy classes — view the full character table.
| maximal subgroup of | #498×AGL(1,𝔽11), C11⋊C5×#1715, #72249031, … |
| maximal normal subgroup of | #498×AGL(1,𝔽11), C11⋊C5×#1715, #72249031, … |
Past the SmallGroups library coverage — no SmallGroups id.