Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 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. #19099376 | C2 | semidirect |
| 2. #19099365 | C2 | semidirect |
| 3. #19099005 | C2 | semidirect |
| 4. #19099001 | C2 | semidirect |
| 5. #19099000 | C2 | semidirect |
| 6. #19098996 | C2 | semidirect |
| 7. #19098993 | C2 | semidirect |
| 8. C2×#14579104 | C2 | semidirect |
| 9. SD32×D79 | C2 | semidirect |
| 10. #19098981 | C2 | semidirect |
| 11. #510×C79 | C2 | semidirect |
| 19. #14579184 | C22 | semidirect |
| 20. #14579183 | C22 | semidirect |
| 21. Q16×D79 | C22 | semidirect |
| 25. #14579107 | C22 | semidirect |
| 26. #14579106 | C22 | semidirect |
| 27. #14579105 | C22 | semidirect |
| 28. #14579104 | C22 | semidirect |
| 29. #14579104 | C22 | semidirect |
| 30. #14579104 | C22 | semidirect |
| 31. D1264 | C22 | semidirect |
| 32. #14579102 | C22 | semidirect |
| 33. #14579100 | C22 | semidirect |
| 34. C2×C79⋊C16 | C22 | semidirect |
| 35. C16×D79 | C22 | semidirect |
| 37. C2×Q16×C79 | C22 | semidirect |
| 38. Q32×C79 | C22 | semidirect |
| 39. SD32×C79 | C22 | semidirect |
| 40. M32×C79 | C22 | semidirect |
| 127. C79 | #3416 | semidirect |
| 131. #510 | D79 | semidirect |
| 150. C2×Q16 | C2×D79 | semidirect |
| 155. Q32 | C2×D79 | semidirect |
| 161. SD32 | C2×D79 | semidirect |
| 165. M32 | C2×D79 | semidirect |