Finite Group DatabasebetaFinite Group Databasebeta| order | 2400 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | D3×#87774 |
| Hall | C3×C52 ⋊ C2×SD16 |
| Sylow | C52 ⋊ D3×SD16 |
| Sylow | C3 ⋊ C2×#87774 |
380 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 70 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 120 |
147 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#11717048, D3×#11717055, D3×#11716943 |
| maximal normal subgroup of | D3×#11717048, D3×#11717055, D3×#11716943 |
Past the SmallGroups library coverage — no SmallGroups id.