Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
548 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 143 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. C2×#14579189 | C2 | semidirect |
| 2. C2×M16×D79 | C2 | semidirect |
| 3. #19099075 | C2 | semidirect |
| 4. C2×#14579136 | C2 | semidirect |
| 5. #19098817 | C2 | semidirect |
| 6. #19098810 | C2 | semidirect |
| 7. #19098800 | C2 | semidirect |
| 8. #19098793 | C2 | semidirect |
| 9. #19098567 | C2 | semidirect |
| 10. #19098562 | C2 | semidirect |
| 11. #428×C79 | C2 | semidirect |
| 17. C2×#11929613 | C22 | semidirect |
| 18. C2×D632 | C22 | semidirect |
| 20. C2×#11929607 | C22 | semidirect |
| 22. C2×C8×D79 | C22 | semidirect |
| 24. #14579141 | C22 | semidirect |
| 25. #14579141 | C22 | semidirect |
| 30. #14579136 | C22 | semidirect |
| 31. #14579136 | C22 | semidirect |
| 36. #14579084 | C22 | semidirect |
| 37. #14579081 | C22 | semidirect |
| 38. #14579081 | C22 | semidirect |
| 39. #14579081 | C22 | semidirect |
| 43. #107×C79 | C22 | semidirect |
| 44. #106×C79 | C22 | semidirect |
| 85. M16×C79 | D4 | semidirect |
| 135. C8×C79 | C2×D4 | semidirect |
| 154. C2×D79 | AGL(1,ℤ/8) | semidirect |
| 173. C79 | #3055 | semidirect |
| 182. #428 | D79 | semidirect |
| 212. #107 | C2×D79 | semidirect |
| 213. #106 | C2×D79 | semidirect |
| 248. M16 | D316 | semidirect |
| 309. C8 | C2×D316 | semidirect |