Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
494 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19099216 | C2 | semidirect |
| 2. D4×D316 | C2 | semidirect |
| 3. #19098911 | C2 | semidirect |
| 4. #19098878 | C2 | semidirect |
| 5. #19098800 | C2 | semidirect |
| 6. #19098759 | C2 | semidirect |
| 7. #19098698 | C2 | semidirect |
| 8. C4×#11929609 | C2 | semidirect |
| 9. #19098628 | C2 | semidirect |
| 10. #102×D79 | C2 | semidirect |
| 11. #474×C79 | C2 | semidirect |
| 15. C2×D632 | C22 | semidirect |
| 17. C2×C8×D79 | C22 | semidirect |
| 22. #14579136 | C22 | semidirect |
| 26. C4×D316 | C22 | semidirect |
| 27. C4⋊C4×D79 | C22 | semidirect |
| 28. #14579094 | C22 | semidirect |
| 29. #14579083 | C22 | semidirect |
| 31. #14579081 | C22 | semidirect |
| 32. #14579081 | C22 | semidirect |
| 33. #14579081 | C22 | semidirect |
| 34. (C2×D79)⋊C8 | C22 | semidirect |
| 35. C4×C79⋊C8 | C22 | semidirect |
| 36. C4⋊Q8×C79 | C22 | semidirect |
| 38. #107×C79 | C22 | semidirect |
| 39. C4⋊C8×C79 | C22 | semidirect |
| 87. D4×C79 | #41 | semidirect |
| 105. D316 | D8 | semidirect |
| 143. C79 | #3294 | semidirect |
| 148. #474 | D79 | semidirect |
| 161. C4⋊Q8 | C2×D79 | semidirect |
| 174. #107 | C2×D79 | semidirect |
| 175. C4⋊C8 | C2×D79 | semidirect |
| 240. D4 | #11929625 | semidirect |