Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
448 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 448 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. #19099283 | C2 | semidirect |
| 3. #19098910 | C2 | semidirect |
| 4. #19098888 | C2 | semidirect |
| 5. #19098844 | C2 | semidirect |
| 6. #19098809 | C2 | semidirect |
| 7. #19098764 | C2 | semidirect |
| 8. #19098716 | C2 | semidirect |
| 9. C4×#11929613 | C2 | semidirect |
| 10. #19098569 | C2 | semidirect |
| 11. #436×C79 | C2 | semidirect |
| 15. C2×#11929613 | C22 | semidirect |
| 16. #14579161 | C22 | semidirect |
| 20. #14579140 | C22 | semidirect |
| 24. C4×Dic158 | C22 | semidirect |
| 27. #14579120 | C22 | semidirect |
| 28. #14579095 | C22 | semidirect |
| 29. #14579093 | C22 | semidirect |
| 30. #14579086 | 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 |
| 136. C79 | #3324 | semidirect |
| 146. #436 | D79 | semidirect |
| 152. C2×M16 | C2×D79 | semidirect |
| 168. C4⋊C8 | C2×D79 | semidirect |
| 175. C22⋊C8 | C2×D79 | semidirect |
| 176. C4×C8 | C2×D79 | semidirect |