Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
440 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 145 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. #19099120 | C2 | semidirect |
| 3. #19098864 | C2 | semidirect |
| 4. #19098854 | C2 | semidirect |
| 5. #19098844 | C2 | semidirect |
| 6. #19098605 | C2 | semidirect |
| 8. #423×C79 | C2 | semidirect |
| 11. #14579161 | C22 | semidirect |
| 12. #14579161 | C22 | semidirect |
| 13. #14579153 | C22 | semidirect |
| 25. #14579095 | C22 | semidirect |
| 26. #14579093 | C22 | semidirect |
| 31. C4⋊C8×C79 | C22 | semidirect |
| 32. C4⋊C8×C79 | C22 | semidirect |
| 38. C2×D316 | Q8 | semidirect |
| 116. C79 | #3077 | semidirect |
| 123. #423 | D79 | semidirect |
| 145. C4⋊C8 | C2×D79 | semidirect |
| 146. C4⋊C8 | C2×D79 | semidirect |