Finite Group DatabasebetaFinite Group Databasebeta| order | 3520 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5×C8 · Schur multiplier (H2) = C4 |
| direct product | C11⋊C5×#322 |
| Fitting, Hall | C11×#322 ⋊ C5 |
| Sylow | C11 ⋊ C5×#322 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #322×AGL(1,𝔽11), C11⋊C5×#1715, #72249027, … |
| maximal normal subgroup of | #322×AGL(1,𝔽11), C11⋊C5×#1715, #72249027, … |
Past the SmallGroups library coverage — no SmallGroups id.