Finite Group DatabasebetaFinite Group Databasebeta| order | 6400 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C5×C8 · Schur multiplier (H2) = C1 |
| direct product | C5×#13014079 |
| Sylow | C52 ⋊ #7333 |
209 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 209 conjugacy classes of subgroups — too many to draw. Only its 92 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 160 |
430 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72242297 |
| maximal normal subgroup of | #72242297 |
Past the SmallGroups library coverage — no SmallGroups id.