Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
376 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 3. #19098869 | C2 | semidirect |
| 4. #19098868 | C2 | semidirect |
| 5. #19098855 | C2 | semidirect |
| 6. #19098849 | C2 | semidirect |
| 7. #19098848 | C2 | semidirect |
| 11. #477×C79 | C2 | semidirect |
| 47. Q8×D79 | Q8 | semidirect |
| 131. C79 | #3078 | semidirect |
| 137. #477 | D79 | semidirect |