Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
526 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 125 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×#14579184 | C2 | semidirect |
| 2. C22×D632 | C2 | semidirect |
| 3. #19099204 | C2 | semidirect |
| 4. #19098948 | C2 | semidirect |
| 5. #19098800 | C2 | semidirect |
| 6. #19098781 | C2 | semidirect |
| 7. #19098713 | C2 | semidirect |
| 8. #19098711 | C2 | semidirect |
| 9. #19098645 | C2 | semidirect |
| 10. C8×C22⋊D79 | C2 | semidirect |
| 11. #467×C79 | C2 | semidirect |
| 12. C2×#11929625 | C22 | semidirect |
| 15. C2×#11929611 | C22 | semidirect |
| 16. C2×#11929611 | C22 | semidirect |
| 21. C2×C8×D79 | C22 | semidirect |
| 22. #14579150 | C22 | semidirect |
| 25. #14579136 | C22 | semidirect |
| 27. #14579123 | C22 | semidirect |
| 30. Dic79⋊C8 | C22 | semidirect |
| 31. #14579081 | C22 | semidirect |
| 32. #14579081 | C22 | semidirect |
| 34. (C2×D79)⋊C8 | C22 | semidirect |
| 35. C8×Dic79 | C22 | semidirect |
| 36. C2×Q16×C79 | C22 | semidirect |
| 39. #107×C79 | C22 | semidirect |
| 40. #103×C79 | C22 | semidirect |
| 59. D632 | D4 | semidirect |
| 116. C22×C79 | #135 | semidirect |
| 144. C79 | #3280 | semidirect |
| 149. #467 | D79 | semidirect |
| 159. C2×Q16 | C2×D79 | semidirect |
| 177. #107 | C2×D79 | semidirect |
| 179. #103 | C2×D79 | semidirect |
| 270. C22 | #14579184 | semidirect |