Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
398 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 141 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. #19099191 | C2 | semidirect |
| 3. #19098864 | C2 | semidirect |
| 4. #19098864 | C2 | semidirect |
| 5. #19098854 | C2 | semidirect |
| 6. #19098844 | C2 | semidirect |
| 7. #19098605 | C2 | semidirect |
| 8. #19098601 | C2 | semidirect |
| 11. #424×C79 | C2 | semidirect |
| 13. #14579161 | C22 | semidirect |
| 15. #14579153 | C22 | semidirect |
| 26. #14579095 | C22 | semidirect |
| 27. #14579095 | C22 | semidirect |
| 28. #14579095 | C22 | semidirect |
| 29. #14579093 | C22 | semidirect |
| 30. #14579093 | C22 | semidirect |
| 31. #14579093 | C22 | semidirect |
| 39. C4⋊C8×C79 | C22 | semidirect |
| 40. C4⋊C8×C79 | C22 | semidirect |
| 45. C2×D316 | Q8 | semidirect |
| 125. C79 | #3081 | semidirect |
| 134. #424 | D79 | semidirect |
| 160. C4⋊C8 | C2×D79 | semidirect |
| 161. C4⋊C8 | C2×D79 | semidirect |