Finite Group DatabasebetaFinite Group Databasebeta| order | 2400 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C52 · Schur multiplier (H2) = C24×C5 |
| direct product | C52×#882 |
| Fitting | C3×C52×C22⋊C4 ⋊ C2 |
| Hall | C3×C52 ⋊ #120 |
| Sylow | C3 ⋊ C52×#120 |
1040 conjugacy classes of subgroups; only the 296 normal subgroups are shown.
This group has 1040 conjugacy classes of subgroups — too many to draw. Only its 296 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 600 |
600 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5⋊D5×#882 |
| maximal normal subgroup of | C5⋊D5×#882 |
Past the SmallGroups library coverage — no SmallGroups id.