Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
524 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 133 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. C22×#11929609 | C2 | semidirect |
| 2. C2×#14579169 | C2 | semidirect |
| 3. #19099132 | C2 | semidirect |
| 4. #19099130 | C2 | semidirect |
| 5. #19098815 | C2 | semidirect |
| 6. #19098798 | C2 | semidirect |
| 7. #19098599 | C2 | semidirect |
| 8. #19098569 | C2 | semidirect |
| 9. #418×C79 | C2 | semidirect |
| 16. C2×#11929607 | C22 | semidirect |
| 18. C2×C8×D79 | C22 | semidirect |
| 23. #14579136 | C22 | semidirect |
| 24. #14579132 | C22 | semidirect |
| 28. #14579094 | C22 | semidirect |
| 29. #14579092 | C22 | semidirect |
| 30. #14579083 | C22 | semidirect |
| 34. #102×C79 | C22 | semidirect |
| 51. C2×C79⋊C8 | D4 | semidirect |
| 126. C79 | #3058 | semidirect |
| 135. #418 | D79 | semidirect |
| 160. #102 | C2×D79 | semidirect |