Finite Group DatabasebetaFinite Group Databasebeta| order | 2400 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C3×#87767 |
| derived, Sylow | C52 ⋊ C22×C3×C8 |
| Hall | C3×C52 ⋊ C22×C8 |
412 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 136 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
384 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C3×#11716761 |
| maximal normal subgroup of | C2×C3×#11716761 |
Past the SmallGroups library coverage — no SmallGroups id.