Finite Group DatabasebetaFinite Group Databasebeta| order | 2400 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C42 · Schur multiplier (H2) = C23 |
| direct product | C3×#11716776 |
| Hall | C3×C52 ⋊ #95 |
| Sylow | C52 ⋊ C3×#95 |
412 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 86 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 120 |
132 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#13104045 |
| maximal normal subgroup of | C3×#13104045 |
| maximal quotient of | C3×#13099900 |
Past the SmallGroups library coverage — no SmallGroups id.