Finite Group DatabasebetaFinite Group Databasebeta| order | 2640 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C5 · Schur multiplier (H2) = C22 |
| direct product | D3×(C11⋊C5)⋊Q8 |
| Hall | D3×Dic22 ⋊ C5 |
| Hall | C3×C11⋊C5 ⋊ C2×Q8 |
| Hall | C11⋊C5 ⋊ D3×Q8 |
| Hall | C3×C11 ⋊ C2×C5×Q8 |
| Sylow | C11 ⋊ C5×D3×Q8 |
| Sylow | C3 ⋊ C2×(C11⋊C5)⋊Q8 |
152 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 61 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
87 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#4314⋊C5, D3×#4324⋊C5, D3×#4341⋊C5, … |
| maximal normal subgroup of | D3×#4314⋊C5, D3×#4324⋊C5, D3×#4341⋊C5, … |
Past the SmallGroups library coverage — no SmallGroups id.