Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
460 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 460 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. #19099278 | C2 | semidirect |
| 2. D4×D316 | C2 | semidirect |
| 3. #19098910 | C2 | semidirect |
| 4. #19098888 | C2 | semidirect |
| 5. #19098854 | C2 | semidirect |
| 6. #19098816 | C2 | semidirect |
| 7. #19098759 | C2 | semidirect |
| 8. #19098699 | C2 | semidirect |
| 9. C4×D632 | C2 | semidirect |
| 10. #19098569 | C2 | semidirect |
| 11. #436×C79 | C2 | semidirect |
| 15. C2×D632 | C22 | semidirect |
| 16. #14579161 | C22 | semidirect |
| 21. #14579135 | C22 | semidirect |
| 25. C4×D316 | C22 | semidirect |
| 26. #14579120 | C22 | semidirect |
| 28. #14579095 | C22 | semidirect |
| 29. #14579093 | C22 | semidirect |
| 32. #14579083 | C22 | semidirect |
| 33. #14579083 | C22 | semidirect |
| 34. #14579083 | C22 | semidirect |
| 35. #14579083 | C22 | semidirect |
| 36. C2×M16×C79 | C22 | semidirect |
| 38. C4⋊C8×C79 | C22 | semidirect |
| 39. C22⋊C8×C79 | C22 | semidirect |
| 40. C4×C8×C79 | C22 | semidirect |
| 141. C79 | #3325 | semidirect |
| 151. #436 | D79 | semidirect |
| 157. C2×M16 | C2×D79 | semidirect |
| 173. C4⋊C8 | C2×D79 | semidirect |
| 180. C22⋊C8 | C2×D79 | semidirect |
| 181. C4×C8 | C2×D79 | semidirect |