Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
548 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 135 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×#14579187 | C2 | semidirect |
| 2. C2×M16×D79 | C2 | semidirect |
| 3. #19099075 | C2 | semidirect |
| 4. C2×#14579132 | C2 | semidirect |
| 5. #19098815 | C2 | semidirect |
| 6. #19098808 | C2 | semidirect |
| 7. #19098798 | C2 | semidirect |
| 8. #19098791 | C2 | semidirect |
| 9. #19098606 | C2 | semidirect |
| 10. #19098565 | C2 | semidirect |
| 11. #418×C79 | C2 | semidirect |
| 16. C2×#11929612 | C22 | semidirect |
| 17. C2×#11929609 | C22 | semidirect |
| 19. C2×#11929607 | C22 | semidirect |
| 21. C2×C8×D79 | C22 | semidirect |
| 23. #14579141 | C22 | semidirect |
| 24. #14579141 | C22 | semidirect |
| 25. #14579136 | C22 | semidirect |
| 26. #14579136 | C22 | semidirect |
| 36. #14579094 | C22 | semidirect |
| 37. #14579092 | C22 | semidirect |
| 38. #14579086 | C22 | semidirect |
| 39. #14579083 | C22 | semidirect |
| 43. #102×C79 | C22 | semidirect |
| 44. #102×C79 | C22 | semidirect |
| 67. #11929608 | D4 | semidirect |
| 136. C79⋊C8 | C2×D4 | semidirect |
| 154. C2×D79 | AGL(1,ℤ/8) | semidirect |
| 173. C79 | #3055 | semidirect |
| 183. #418 | D79 | semidirect |
| 216. #102 | C2×D79 | semidirect |
| 217. #102 | C2×D79 | semidirect |