Finite Group DatabasebetaFinite Group Databasebeta| order | 2400 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C42 · Schur multiplier (H2) = C23×C5 |
| direct product | C3×#11716899 |
| Fitting | C2×C3×C4×C52 ⋊ C4 |
| Hall | C3×C52 ⋊ #95 |
| Sylow | C52 ⋊ C3×#95 |
412 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 88 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
204 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#13104045 |
| maximal normal subgroup of | C3×#13104045 |
| maximal quotient of | C3×#13100332 |
Past the SmallGroups library coverage — no SmallGroups id.