Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
462 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 462 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. #19099274 | C2 | semidirect |
| 3. #19098880 | C2 | semidirect |
| 4. #19098850 | C2 | semidirect |
| 5. #19098791 | C2 | semidirect |
| 6. #19098760 | C2 | semidirect |
| 7. #19098715 | C2 | semidirect |
| 8. C4×#11929613 | C2 | semidirect |
| 9. C8×D316 | C2 | semidirect |
| 10. #102×D79 | C2 | semidirect |
| 11. #486×C79 | C2 | semidirect |
| 15. C2×#11929612 | C22 | semidirect |
| 16. C2×C8×D79 | C22 | semidirect |
| 18. #14579141 | C22 | semidirect |
| 23. C4×Dic158 | C22 | semidirect |
| 27. C4⋊C4×D79 | C22 | semidirect |
| 28. #14579093 | C22 | semidirect |
| 29. #14579092 | C22 | semidirect |
| 30. C4⋊(C79⋊C8) | C22 | semidirect |
| 31. #14579086 | 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 |
| 99. D316 | SD16 | semidirect |
| 137. C79 | #3295 | semidirect |
| 140. #486 | D79 | semidirect |
| 154. C4⋊Q8 | C2×D79 | semidirect |
| 174. #102 | C2×D79 | semidirect |
| 175. #102 | C2×D79 | semidirect |
| 177. C4×C8 | C2×D79 | semidirect |