Finite Group DatabasebetaFinite Group Databasebeta| order | 3960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C5 · Schur multiplier (H2) = C2 |
| direct product | C3×#63140⋊C5 |
| Hall | C3×#63140 ⋊ C5 |
| Hall | C32×C11⋊C5 ⋊ D4 |
| Hall | C32×C11 ⋊ C5×D4 |
| Hall | C11⋊C5 ⋊ C3×#67 |
| Sylow | C11 ⋊ C3×C5×#67 |
| Sylow | C32 ⋊ C22⋊AGL(1,𝔽11) |
148 conjugacy classes of subgroups; only the 46 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 46 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 132 |
153 conjugacy classes — view the full character table.
| maximal subgroup of | #72247163, C3×#67×AGL(1,𝔽11), #72247247 |
| maximal normal subgroup of | #72247163, C3×#67×AGL(1,𝔽11), #72247247 |
Past the SmallGroups library coverage — no SmallGroups id.