Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
180 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 117 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19127454 | C2 | semidirect |
| 3. #19127452 | C2 | semidirect |
| 20. C2×C8×C83 | C8 | semidirect |
| 61. C83 | #1564 | semidirect |
| 81. C2×C8 | C83⋊C8 | semidirect |