Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
364 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 364 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. C2×#14579184 | C2 | semidirect |
| 2. #135×D79 | C2 | semidirect |
| 3. #19099005 | C2 | semidirect |
| 4. #19099004 | C2 | semidirect |
| 5. #19099001 | C2 | semidirect |
| 6. #19099000 | C2 | semidirect |
| 7. #19098998 | C2 | semidirect |
| 8. #19098996 | C2 | semidirect |
| 9. #19098994 | C2 | semidirect |
| 10. M32×D79 | C2 | semidirect |
| 11. #510×C79 | C2 | semidirect |
| 17. #14579184 | C22 | semidirect |
| 18. #14579184 | C22 | semidirect |
| 22. #14579180 | C22 | semidirect |
| 23. Q16×D79 | C22 | semidirect |
| 26. C2×D632 | C22 | semidirect |
| 27. D8×D79 | C22 | semidirect |
| 29. #14579107 | C22 | semidirect |
| 30. #14579106 | C22 | semidirect |
| 31. #14579104 | C22 | semidirect |
| 32. #14579104 | C22 | semidirect |
| 33. D1264 | C22 | semidirect |
| 34. #14579102 | C22 | semidirect |
| 35. #14579101 | C22 | semidirect |
| 36. #14579100 | C22 | semidirect |
| 37. C16×D79 | C22 | semidirect |
| 39. C2×Q16×C79 | C22 | semidirect |
| 40. Q32×C79 | C22 | semidirect |
| 41. SD32×C79 | C22 | semidirect |
| 42. M32×C79 | C22 | semidirect |
| 147. C79 | #3414 | semidirect |
| 152. #510 | D79 | semidirect |
| 172. C2×Q16 | C2×D79 | semidirect |
| 179. Q32 | C2×D79 | semidirect |
| 183. SD32 | C2×D79 | semidirect |
| 188. M32 | C2×D79 | semidirect |