Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
410 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 113 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×#14579150 | C2 | semidirect |
| 3. #19098948 | C2 | semidirect |
| 4. #19098919 | C2 | semidirect |
| 5. #19098787 | C2 | semidirect |
| 6. #19098781 | C2 | semidirect |
| 7. #19098713 | C2 | semidirect |
| 8. #19098702 | C2 | semidirect |
| 10. #19098613 | C2 | semidirect |
| 11. #451×C79 | C2 | semidirect |
| 14. C2×#11929611 | C22 | semidirect |
| 17. #14579152 | C22 | semidirect |
| 22. #14579150 | C22 | semidirect |
| 25. Q8×Dic79 | C22 | semidirect |
| 26. #14579123 | C22 | semidirect |
| 32. Dic79⋊C8 | C22 | semidirect |
| 33. #14579085 | C22 | semidirect |
| 37. C8×Dic79 | C22 | semidirect |
| 39. C2×Q16×C79 | C22 | semidirect |
| 41. #103×C79 | C22 | semidirect |
| 144. C79 | #3211 | semidirect |
| 151. #451 | D79 | semidirect |
| 158. C2×Q16 | C2×D79 | semidirect |
| 181. #103 | C2×D79 | semidirect |