Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
762 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 762 conjugacy classes of subgroups — too many to draw. Only its 145 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. C2×#14579206 | C2 | semidirect |
| 2. #19099361 | C2 | semidirect |
| 3. #19098740 | C2 | semidirect |
| 4. #19098730 | C2 | semidirect |
| 5. #19098581 | C2 | semidirect |
| 6. C2×#14579078 | C2 | semidirect |
| 7. #535×C79 | C2 | semidirect |
| 15. #14579192 | C22 | semidirect |
| 17. #14579187 | C22 | semidirect |
| 20. C2×#11929608 | C22 | semidirect |
| 21. #14579089 | C22 | semidirect |
| 22. #14579078 | C22 | semidirect |
| 23. C2×#41×C79 | C22 | semidirect |
| 25. #127×C79 | C22 | semidirect |
| 26. #124×C79 | C22 | semidirect |
| 29. #117×C79 | C22 | semidirect |
| 33. #11929624 | D4 | semidirect |
| 37. C2×Dic158 | D4 | semidirect |
| 38. C2×D316 | D4 | semidirect |
| 52. #11929608 | C23 | semidirect |
| 57. C2×Q8×C79 | C23 | semidirect |
| 64. C2×D4×C79 | C23 | semidirect |
| 70. C42×C79 | C23 | semidirect |
| 132. C79 | #3019 | semidirect |
| 135. #535 | D79 | semidirect |
| 145. C2×#41 | C2×D79 | semidirect |
| 155. #127 | C2×D79 | semidirect |
| 156. #124 | C2×D79 | semidirect |
| 159. #117 | C2×D79 | semidirect |
| 173. C2×Q8 | C22×D79 | semidirect |
| 187. C2×D4 | C22×D79 | semidirect |
| 202. C42 | C22×D79 | semidirect |