Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
462 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 139 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. #19099270 | C2 | semidirect |
| 3. #19098910 | C2 | semidirect |
| 4. #19098882 | C2 | semidirect |
| 5. #19098854 | C2 | semidirect |
| 6. #19098792 | C2 | semidirect |
| 7. #19098764 | C2 | semidirect |
| 8. #19098716 | C2 | semidirect |
| 9. C4×#11929613 | C2 | semidirect |
| 10. C2×#14579083 | C2 | semidirect |
| 11. C8×D4×C79 | C2 | semidirect |
| 15. C2×#11929613 | C22 | semidirect |
| 16. #14579161 | C22 | semidirect |
| 19. #14579140 | C22 | semidirect |
| 24. C4×Dic158 | C22 | semidirect |
| 27. C2×C4⋊Dic79 | C22 | semidirect |
| 28. #14579093 | C22 | semidirect |
| 29. #14579093 | C22 | semidirect |
| 30. #14579086 | C22 | semidirect |
| 33. #14579083 | C22 | semidirect |
| 34. #14579083 | C22 | semidirect |
| 35. #14579083 | C22 | semidirect |
| 36. C22×C8×C79 | C22 | semidirect |
| 38. C4⋊C8×C79 | C22 | semidirect |
| 39. C22⋊C8×C79 | C22 | semidirect |
| 40. C4×C8×C79 | C22 | semidirect |
| 83. D4×C79 | SD16 | semidirect |
| 137. C79 | #3295 | semidirect |
| 147. C8×D4 | D79 | semidirect |
| 153. C22×C8 | C2×D79 | semidirect |
| 169. C4⋊C8 | C2×D79 | semidirect |
| 176. C22⋊C8 | C2×D79 | semidirect |
| 177. C4×C8 | C2×D79 | semidirect |
| 231. D4 | #11929613 | semidirect |