Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
222 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 35 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. #19127468 | C2 | semidirect |
| 3. #323×C83 | C2 | semidirect |
| 4. C22×D332 | C4 | semidirect |
| 8. C83⋊#95 | C4 | semidirect |
| 89. C83 | #1343 | semidirect |
| 92. #323 | D83 | semidirect |