Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
448 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19099286 | C2 | semidirect |
| 3. #19098909 | C2 | semidirect |
| 4. #19098885 | C2 | semidirect |
| 5. #19098844 | C2 | semidirect |
| 6. #19098806 | C2 | semidirect |
| 7. #19098712 | C2 | semidirect |
| 8. C4×#11929611 | C2 | semidirect |
| 9. #19098640 | C2 | semidirect |
| 10. #19098566 | C2 | semidirect |
| 11. #460×C79 | C2 | semidirect |
| 15. C2×#11929607 | C22 | semidirect |
| 16. #14579161 | C22 | semidirect |
| 19. #14579137 | C22 | semidirect |
| 26. #14579119 | C22 | semidirect |
| 27. #14579095 | C22 | semidirect |
| 28. #14579092 | C22 | semidirect |
| 29. #14579085 | C22 | semidirect |
| 31. #14579082 | C22 | semidirect |
| 32. #14579082 | C22 | semidirect |
| 34. (C2×D79)⋊C8 | C22 | semidirect |
| 35. C4×C79⋊C8 | C22 | semidirect |
| 36. C2×SD16×C79 | C22 | semidirect |
| 38. C4×Q8×C79 | C22 | semidirect |
| 39. C4⋊C8×C79 | C22 | semidirect |
| 40. #102×C79 | C22 | semidirect |
| 136. C79 | #3324 | semidirect |
| 143. #460 | D79 | semidirect |
| 151. C2×SD16 | C2×D79 | semidirect |
| 162. C4×Q8 | C2×D79 | semidirect |
| 168. C4⋊C8 | C2×D79 | semidirect |
| 174. #102 | C2×D79 | semidirect |