Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
494 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19099218 | C2 | semidirect |
| 2. #19099198 | C2 | semidirect |
| 3. #19098909 | C2 | semidirect |
| 4. #19098875 | C2 | semidirect |
| 5. #19098844 | C2 | semidirect |
| 6. #19098796 | C2 | semidirect |
| 7. #19098695 | C2 | semidirect |
| 8. C4×#11929609 | C2 | semidirect |
| 9. #19098628 | C2 | semidirect |
| 10. #102×D79 | C2 | semidirect |
| 11. #459×C79 | C2 | semidirect |
| 16. C2×C8×D79 | C22 | semidirect |
| 17. #14579161 | C22 | semidirect |
| 22. #14579132 | C22 | semidirect |
| 26. C4⋊C4×D79 | C22 | semidirect |
| 27. #14579095 | C22 | semidirect |
| 28. #14579094 | C22 | semidirect |
| 30. #14579082 | C22 | semidirect |
| 31. #14579082 | C22 | semidirect |
| 32. #14579082 | C22 | semidirect |
| 34. (C2×D79)⋊C8 | C22 | semidirect |
| 35. C4×C79⋊C8 | C22 | semidirect |
| 36. C2×D8×C79 | C22 | semidirect |
| 38. C4×D4×C79 | C22 | semidirect |
| 39. C4⋊C8×C79 | C22 | semidirect |
| 40. #102×C79 | C22 | semidirect |
| 103. D316 | D8 | semidirect |
| 104. D316 | #41 | semidirect |
| 143. C79 | #3294 | semidirect |
| 150. #459 | D79 | semidirect |
| 159. C2×D8 | C2×D79 | semidirect |
| 171. C4×D4 | C2×D79 | semidirect |
| 175. C4⋊C8 | C2×D79 | semidirect |
| 181. #102 | C2×D79 | semidirect |