Finite Group DatabasebetaFinite Group Databasebeta| order | 4400 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C5 · Schur multiplier (H2) = C23 |
| direct product | C22⋊D5×AGL(1,𝔽11) |
| Fitting | C22×C5×C11 ⋊ C22×C5 |
| Hall | C5×C11⋊C5 ⋊ C2×D4 |
| Sylow | C11 ⋊ C2×C5×C22⋊D5 |
280 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 63 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 220 |
143 conjugacy classes — view the full character table.
| maximal subgroup of | D4×D5×AGL(1,𝔽11) |
| maximal normal subgroup of | D4×D5×AGL(1,𝔽11) |
Past the SmallGroups library coverage — no SmallGroups id.