Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
492 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 492 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. #19099114 | C2 | semidirect |
| 2. C4×D4×D79 | C2 | semidirect |
| 3. #19098878 | C2 | semidirect |
| 4. #19098840 | C2 | semidirect |
| 5. #19098759 | C2 | semidirect |
| 6. #19098758 | C2 | semidirect |
| 7. #19098698 | C2 | semidirect |
| 8. #19098645 | C2 | semidirect |
| 9. #19098643 | C2 | semidirect |
| 10. #19098615 | C2 | semidirect |
| 11. #474×C79 | C2 | semidirect |
| 17. #14579158 | C22 | semidirect |
| 25. #14579123 | C22 | semidirect |
| 31. #14579094 | C22 | semidirect |
| 32. C4⋊(C79⋊C8) | C22 | semidirect |
| 33. #14579083 | C22 | semidirect |
| 35. #14579081 | C22 | semidirect |
| 37. C8×Dic79 | C22 | semidirect |
| 38. C4⋊Q8×C79 | C22 | semidirect |
| 40. #107×C79 | C22 | semidirect |
| 41. C4⋊C8×C79 | C22 | semidirect |
| 93. D4×C79 | #41 | semidirect |
| 112. D316 | #41 | semidirect |
| 120. C4×D79 | D8 | semidirect |
| 155. C79 | #3100 | semidirect |
| 160. #474 | D79 | semidirect |
| 172. C4⋊Q8 | C2×D79 | semidirect |
| 189. #107 | C2×D79 | semidirect |
| 191. C4⋊C8 | C2×D79 | semidirect |
| 256. D4 | #11929625 | semidirect |