Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
504 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14579189 | C2 | semidirect |
| 2. #19099141 | C2 | semidirect |
| 3. #19099127 | C2 | semidirect |
| 4. #19098816 | C2 | semidirect |
| 5. #19098809 | C2 | semidirect |
| 6. #19098799 | C2 | semidirect |
| 7. #19098792 | C2 | semidirect |
| 8. #19098605 | C2 | semidirect |
| 9. #19098560 | C2 | semidirect |
| 10. C2×#14579083 | C2 | semidirect |
| 11. C2×#131×C79 | C2 | semidirect |
| 19. #14579140 | C22 | semidirect |
| 23. #14579135 | C22 | semidirect |
| 29. #14579095 | C22 | semidirect |
| 30. #14579093 | C22 | semidirect |
| 31. #14579086 | C22 | semidirect |
| 32. #14579086 | C22 | semidirect |
| 35. #14579083 | C22 | semidirect |
| 36. #14579083 | C22 | semidirect |
| 40. C2×M16×C79 | C22 | semidirect |
| 42. C22×C8×C79 | C22 | semidirect |
| 79. M16×C79 | D4 | semidirect |
| 152. C79 | #3062 | semidirect |
| 154. C2×#131 | D79 | semidirect |
| 172. C2×M16 | C2×D79 | semidirect |
| 174. C22×C8 | C2×D79 | semidirect |
| 220. M16 | C22⋊D79 | semidirect |