Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
444 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19098900 | C2 | semidirect |
| 4. #19098840 | C2 | semidirect |
| 5. #19098769 | C2 | semidirect |
| 6. #19098768 | C2 | semidirect |
| 8. #19098662 | C2 | semidirect |
| 9. #19098660 | C2 | semidirect |
| 10. #19098619 | C2 | semidirect |
| 11. #474×C79 | C2 | semidirect |
| 16. #14579161 | C22 | semidirect |
| 21. #14579126 | C22 | semidirect |
| 31. #14579094 | C22 | semidirect |
| 32. C4⋊(C79⋊C8) | C22 | semidirect |
| 33. #14579086 | C22 | semidirect |
| 34. #14579084 | C22 | semidirect |
| 37. #14579071 | C22 | semidirect |
| 38. C4⋊Q8×C79 | C22 | semidirect |
| 40. #107×C79 | C22 | semidirect |
| 41. C4⋊C8×C79 | C22 | semidirect |
| 147. C79 | #3110 | semidirect |
| 152. #474 | D79 | semidirect |
| 164. C4⋊Q8 | C2×D79 | semidirect |
| 181. #107 | C2×D79 | semidirect |
| 183. C4⋊C8 | C2×D79 | semidirect |