Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
410 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19099097 | C2 | semidirect |
| 2. C2×#14579149 | C2 | semidirect |
| 3. #19098947 | C2 | semidirect |
| 4. #19098918 | C2 | semidirect |
| 5. #19098786 | C2 | semidirect |
| 6. #19098779 | C2 | semidirect |
| 7. #19098721 | C2 | semidirect |
| 8. #19098716 | C2 | semidirect |
| 9. #19098704 | C2 | semidirect |
| 11. #431×C79 | C2 | semidirect |
| 14. C2×Dic316 | C22 | semidirect |
| 16. C2×#11929613 | C22 | semidirect |
| 19. #14579153 | C22 | semidirect |
| 24. #14579149 | C22 | semidirect |
| 28. C4×Dic158 | C22 | semidirect |
| 29. C4×D316 | C22 | semidirect |
| 34. #14579086 | C22 | semidirect |
| 35. #14579086 | C22 | semidirect |
| 39. C4⋊C8×C79 | C22 | semidirect |
| 42. C4×C8×C79 | C22 | semidirect |
| 144. C79 | #3211 | semidirect |
| 155. #431 | D79 | semidirect |
| 179. C4⋊C8 | C2×D79 | semidirect |
| 186. C4×C8 | C2×D79 | semidirect |