Finite Group DatabasebetaFinite Group Databasebeta| order | 2400 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24×C5 |
| direct product | C22⋊C4×C3⋊(C5⋊D5) |
| Fitting | C3×C52×C22⋊C4 ⋊ C2 |
| Hall | C3×C52 ⋊ C2×C22⋊C4 |
| Sylow | C52 ⋊ D3×C22⋊C4 |
| Sylow | C3 ⋊ C22⋊C4×C5⋊D5 |
1056 conjugacy classes of subgroups; only the 203 normal subgroups are shown.
This group has 1056 conjugacy classes of subgroups — too many to draw. Only its 203 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 600 |
390 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D3×C22⋊C4×C5⋊D5 |
| maximal normal subgroup of | D3×C22⋊C4×C5⋊D5 |
Past the SmallGroups library coverage — no SmallGroups id.