Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
762 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 762 conjugacy classes of subgroups — too many to draw. Only its 145 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×#14579206 | C2 | semidirect |
| 2. #19099363 | C2 | semidirect |
| 3. #19099130 | C2 | semidirect |
| 4. #19098743 | C2 | semidirect |
| 5. #19098733 | C2 | semidirect |
| 6. #19098579 | C2 | semidirect |
| 7. C2×#100×C79 | C2 | semidirect |
| 12. C2×#11929624 | C22 | semidirect |
| 17. #14579194 | C22 | semidirect |
| 19. #14579189 | C22 | semidirect |
| 21. #14579157 | C22 | semidirect |
| 22. #14579148 | C22 | semidirect |
| 25. #14579120 | C22 | semidirect |
| 26. #14579087 | C22 | semidirect |
| 28. C2×M16×C79 | C22 | semidirect |
| 29. #100×C79 | C22 | semidirect |
| 35. #11929624 | D4 | semidirect |
| 39. C2×Dic158 | D4 | semidirect |
| 40. C2×Dic158 | C23 | semidirect |
| 41. C2×D316 | D4 | semidirect |
| 42. C2×D316 | C23 | semidirect |
| 61. C4×Dic79 | C23 | semidirect |
| 69. M16×C79 | C23 | semidirect |
| 132. C79 | #3019 | semidirect |
| 139. C2×#100 | D79 | semidirect |
| 154. C2×M16 | C2×D79 | semidirect |
| 161. #100 | C2×D79 | semidirect |
| 197. M16 | C22×D79 | semidirect |