Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
450 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19099099 | C2 | semidirect |
| 2. C2×#14579123 | C2 | semidirect |
| 3. #19098876 | C2 | semidirect |
| 4. #19098862 | C2 | semidirect |
| 5. #19098781 | C2 | semidirect |
| 6. #19098713 | C2 | semidirect |
| 8. #19098674 | C2 | semidirect |
| 9. #19098666 | C2 | semidirect |
| 10. #19098617 | C2 | semidirect |
| 11. #483×C79 | C2 | semidirect |
| 17. #14579152 | C22 | semidirect |
| 18. #14579150 | C22 | semidirect |
| 21. Q8×Dic79 | C22 | semidirect |
| 26. #14579123 | C22 | semidirect |
| 31. #14579094 | C22 | semidirect |
| 32. Dic79⋊C8 | C22 | semidirect |
| 35. #14579081 | C22 | semidirect |
| 37. #14579071 | C22 | semidirect |
| 40. #106×C79 | C22 | semidirect |
| 41. #103×C79 | C22 | semidirect |
| 141. C79 | #3114 | semidirect |
| 144. #483 | D79 | semidirect |
| 175. #106 | C2×D79 | semidirect |
| 177. #103 | C2×D79 | semidirect |