Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
448 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 127 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. #19098895 | C2 | semidirect |
| 4. #19098850 | C2 | semidirect |
| 5. #19098769 | C2 | semidirect |
| 6. #19098768 | C2 | semidirect |
| 8. #19098654 | C2 | semidirect |
| 9. #19098650 | C2 | semidirect |
| 10. #19098615 | C2 | semidirect |
| 11. #476×C79 | C2 | semidirect |
| 16. #14579161 | C22 | semidirect |
| 21. #14579126 | C22 | semidirect |
| 31. #14579092 | C22 | semidirect |
| 32. C4⋊(C79⋊C8) | C22 | semidirect |
| 33. #14579086 | C22 | semidirect |
| 34. #14579084 | C22 | semidirect |
| 37. C8×Dic79 | C22 | semidirect |
| 38. C4⋊Q8×C79 | C22 | semidirect |
| 40. #106×C79 | C22 | semidirect |
| 41. C4⋊C8×C79 | C22 | semidirect |
| 113. C4×D79 | SD16 | semidirect |
| 147. C79 | #3101 | semidirect |
| 152. #476 | D79 | semidirect |
| 164. C4⋊Q8 | C2×D79 | semidirect |
| 181. #106 | C2×D79 | semidirect |
| 183. C4⋊C8 | C2×D79 | semidirect |