Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
488 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19099111 | C2 | semidirect |
| 2. C4×D4×D79 | C2 | semidirect |
| 3. #19098880 | C2 | semidirect |
| 4. #19098854 | C2 | semidirect |
| 5. #19098853 | C2 | semidirect |
| 6. #19098755 | C2 | semidirect |
| 7. #19098695 | C2 | semidirect |
| 8. #19098675 | C2 | semidirect |
| 9. #19098672 | C2 | semidirect |
| 10. #19098619 | C2 | semidirect |
| 11. #459×C79 | C2 | semidirect |
| 16. #14579161 | C22 | semidirect |
| 23. D4×Dic79 | C22 | semidirect |
| 30. #14579093 | C22 | semidirect |
| 31. #14579092 | C22 | semidirect |
| 32. C4⋊(C79⋊C8) | C22 | semidirect |
| 35. #14579082 | C22 | semidirect |
| 37. #14579071 | C22 | semidirect |
| 39. #127×C79 | C22 | semidirect |
| 41. C4⋊C8×C79 | C22 | semidirect |
| 42. #102×C79 | C22 | semidirect |
| 96. D4×C79 | #41 | semidirect |
| 112. D316 | #41 | semidirect |
| 155. C79 | #3109 | semidirect |
| 162. #459 | D79 | semidirect |
| 173. #127 | C2×D79 | semidirect |
| 191. C4⋊C8 | C2×D79 | semidirect |
| 195. #102 | C2×D79 | semidirect |
| 256. D4 | #11929623 | semidirect |