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. #19099216 | C2 | semidirect |
| 2. #19099198 | C2 | semidirect |
| 3. #19098875 | C2 | semidirect |
| 4. #19098840 | C2 | semidirect |
| 5. #19098798 | C2 | semidirect |
| 6. #19098755 | C2 | semidirect |
| 7. #19098698 | C2 | semidirect |
| 8. C4×D632 | C2 | semidirect |
| 9. C8×D316 | C2 | semidirect |
| 10. #102×D79 | C2 | semidirect |
| 11. #486×C79 | C2 | semidirect |
| 16. C2×#11929609 | C22 | semidirect |
| 17. C2×C8×D79 | C22 | semidirect |
| 20. #14579136 | C22 | semidirect |
| 26. C4×D316 | C22 | semidirect |
| 27. C4⋊C4×D79 | C22 | semidirect |
| 28. #14579095 | C22 | semidirect |
| 29. #14579094 | C22 | semidirect |
| 30. C4⋊(C79⋊C8) | C22 | semidirect |
| 32. #14579083 | C22 | semidirect |
| 33. #14579082 | C22 | semidirect |
| 35. (C2×D79)⋊C8 | C22 | semidirect |
| 36. C4⋊Q8×C79 | C22 | semidirect |
| 38. #102×C79 | C22 | semidirect |
| 39. #102×C79 | C22 | semidirect |
| 40. C4×C8×C79 | C22 | semidirect |
| 103. D316 | D8 | semidirect |
| 104. D316 | #41 | semidirect |
| 143. C79 | #3294 | semidirect |
| 146. #486 | D79 | semidirect |
| 161. C4⋊Q8 | C2×D79 | semidirect |
| 180. #102 | C2×D79 | semidirect |
| 181. #102 | C2×D79 | semidirect |
| 183. C4×C8 | C2×D79 | semidirect |