Finite Group DatabasebetaFinite Group Databasebeta| order | 7040 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C5 · Schur multiplier (H2) = C22×C8 |
| direct product | C11⋊C5×#1712 |
| Fitting, Hall | C11×#1712 ⋊ C5 |
| Sylow | C11 ⋊ C5×#1712 |
560 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
266 conjugacy classes. The character table is too large to display.
| maximal subgroup of | AGL(1,𝔽11)×#1712, C11⋊C5×#19745, #72254689 |
| maximal normal subgroup of | AGL(1,𝔽11)×#1712, C11⋊C5×#19745, #72254689 |
Past the SmallGroups library coverage — no SmallGroups id.