Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
414 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 414 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 |
|---|---|---|
| 2. C2×#14579140 | C2 | semidirect |
| 3. #19098905 | C2 | semidirect |
| 4. #19098899 | C2 | semidirect |
| 5. #19098882 | C2 | semidirect |
| 6. #19098821 | C2 | semidirect |
| 7. #19098809 | C2 | semidirect |
| 8. #19098727 | C2 | semidirect |
| 9. #19098721 | C2 | semidirect |
| 10. #19098704 | C2 | semidirect |
| 11. #407×C79 | C2 | semidirect |
| 14. C2×Dic316 | C22 | semidirect |
| 15. C2×#11929613 | C22 | semidirect |
| 32. #14579095 | C22 | semidirect |
| 33. #14579093 | C22 | semidirect |
| 34. #14579086 | C22 | semidirect |
| 35. #14579086 | C22 | semidirect |
| 36. #14579086 | C22 | semidirect |
| 37. #14579083 | C22 | semidirect |
| 150. C79 | #3196 | semidirect |
| 161. #407 | D79 | semidirect |