Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
420 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 115 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. C2×#14579141 | C2 | semidirect |
| 3. #19098907 | C2 | semidirect |
| 4. #19098876 | C2 | semidirect |
| 5. #19098803 | C2 | semidirect |
| 6. #19098793 | C2 | semidirect |
| 7. #19098728 | C2 | semidirect |
| 8. #19098718 | C2 | semidirect |
| 9. #19098704 | C2 | semidirect |
| 10. C22⋊C8×D79 | C2 | semidirect |
| 11. #483×C79 | C2 | semidirect |
| 15. C2×#11929614 | C22 | semidirect |
| 16. C2×#11929613 | C22 | semidirect |
| 32. #14579094 | C22 | semidirect |
| 33. #14579086 | C22 | semidirect |
| 34. #14579084 | C22 | semidirect |
| 35. #14579081 | C22 | semidirect |
| 40. #106×C79 | C22 | semidirect |
| 41. #103×C79 | C22 | semidirect |
| 150. C79 | #3190 | semidirect |
| 154. #483 | D79 | semidirect |
| 185. #106 | C2×D79 | semidirect |
| 188. #103 | C2×D79 | semidirect |