Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
440 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 131 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. #19099118 | C2 | semidirect |
| 3. #19098866 | C2 | semidirect |
| 4. #19098865 | C2 | semidirect |
| 5. #19098854 | C2 | semidirect |
| 6. #19098853 | C2 | semidirect |
| 7. #19098840 | C2 | semidirect |
| 8. #19098604 | C2 | semidirect |
| 9. #19098585 | C2 | semidirect |
| 11. #474×C79 | C2 | semidirect |
| 15. #14579161 | C22 | semidirect |
| 16. #14579152 | C22 | semidirect |
| 30. #14579094 | C22 | semidirect |
| 31. #14579093 | C22 | semidirect |
| 32. #14579092 | C22 | semidirect |
| 33. C4⋊(C79⋊C8) | C22 | semidirect |
| 34. Dic79⋊C8 | C22 | semidirect |
| 38. C4⋊Q8×C79 | C22 | semidirect |
| 40. #107×C79 | C22 | semidirect |
| 41. C4⋊C8×C79 | C22 | semidirect |
| 48. D4×D79 | Q8 | semidirect |
| 145. C79 | #3077 | semidirect |
| 153. #474 | D79 | semidirect |
| 161. C4⋊Q8 | C2×D79 | semidirect |
| 178. #107 | C2×D79 | semidirect |
| 183. C4⋊C8 | C2×D79 | semidirect |