Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
370 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 370 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. #19099365 | C2 | semidirect |
| 2. #19099000 | C2 | semidirect |
| 3. #19098998 | C2 | semidirect |
| 4. #19098996 | C2 | semidirect |
| 5. C2×D1264 | C2 | semidirect |
| 6. D16×D79 | C2 | semidirect |
| 7. #19098979 | C2 | semidirect |
| 8. #508×C79 | C2 | semidirect |
| 12. #14579184 | C22 | semidirect |
| 13. C2×D632 | C22 | semidirect |
| 14. D8×D79 | C22 | semidirect |
| 16. #14579104 | C22 | semidirect |
| 17. D1264 | C22 | semidirect |
| 18. D1264 | C22 | semidirect |
| 19. #14579102 | C22 | semidirect |
| 20. #14579101 | C22 | semidirect |
| 21. #14579100 | C22 | semidirect |
| 22. C16×D79 | C22 | semidirect |
| 23. #135×C79 | C22 | semidirect |
| 24. Q32×C79 | C22 | semidirect |
| 25. SD32×C79 | C22 | semidirect |
| 26. D16×C79 | C22 | semidirect |
| 27. C2×C16×C79 | C22 | semidirect |
| 85. C79 | #3415 | semidirect |
| 90. #508 | D79 | semidirect |
| 98. #135 | C2×D79 | semidirect |
| 102. Q32 | C2×D79 | semidirect |
| 104. SD32 | C2×D79 | semidirect |
| 108. D16 | C2×D79 | semidirect |
| 112. C2×C16 | C2×D79 | semidirect |