Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
418 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 1. #19099299 | C2 | semidirect |
| 2. #19099233 | C2 | semidirect |
| 3. #19098951 | C2 | semidirect |
| 4. #19098776 | C2 | semidirect |
| 5. #19098760 | C2 | semidirect |
| 6. #19098756 | C2 | semidirect |
| 7. #19098755 | C2 | semidirect |
| 8. #19098693 | C2 | semidirect |
| 9. #19098675 | C2 | semidirect |
| 10. C4×#11929613 | C2 | semidirect |
| 11. #493×C79 | C2 | semidirect |
| 107. C8×C79 | #41 | semidirect |
| 135. C79 | #3399 | semidirect |
| 139. #493 | D79 | semidirect |
| 243. C8 | #11929623 | semidirect |