Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
524 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 127 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×D8×D79 | C2 | semidirect |
| 2. C2×#14579169 | C2 | semidirect |
| 3. #19099129 | C2 | semidirect |
| 4. #19098817 | C2 | semidirect |
| 5. #19098816 | C2 | semidirect |
| 6. #19098813 | C2 | semidirect |
| 7. #19098798 | C2 | semidirect |
| 8. #19098797 | C2 | semidirect |
| 9. #19098598 | C2 | semidirect |
| 10. #19098566 | C2 | semidirect |
| 11. #469×C79 | C2 | semidirect |
| 19. C2×#11929607 | C22 | semidirect |
| 20. C22×C79⋊C8 | C22 | semidirect |
| 22. C2×C8×D79 | C22 | semidirect |
| 25. #14579136 | C22 | semidirect |
| 26. #14579135 | C22 | semidirect |
| 27. #14579132 | C22 | semidirect |
| 31. #14579094 | C22 | semidirect |
| 32. #14579093 | C22 | semidirect |
| 33. #14579083 | C22 | semidirect |
| 34. #14579082 | C22 | semidirect |
| 35. #14579081 | C22 | semidirect |
| 37. C2×M16×C79 | C22 | semidirect |
| 38. #121×C79 | C22 | semidirect |
| 39. #106×C79 | C22 | semidirect |
| 40. #102×C79 | C22 | semidirect |
| 65. C8×D79 | D4 | semidirect |
| 147. C79 | #3058 | semidirect |
| 154. #469 | D79 | semidirect |
| 168. C2×M16 | C2×D79 | semidirect |
| 177. #121 | C2×D79 | semidirect |
| 183. #106 | C2×D79 | semidirect |
| 187. #102 | C2×D79 | semidirect |