Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
994 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 994 conjugacy classes of subgroups — too many to draw. Only its 157 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. C23×D316 | C2 | semidirect |
| 2. C2×#14579189 | C2 | semidirect |
| 3. #19099074 | C2 | semidirect |
| 4. #19098716 | C2 | semidirect |
| 5. #19098699 | C2 | semidirect |
| 6. #19098569 | C2 | semidirect |
| 7. #407×C79 | C2 | semidirect |
| 9. C2×#11929624 | C22 | semidirect |
| 16. C2×#11929613 | C22 | semidirect |
| 17. C2×D632 | C22 | semidirect |
| 19. #14579140 | C22 | semidirect |
| 20. #14579135 | C22 | semidirect |
| 23. #14579120 | C22 | semidirect |
| 24. #14579083 | C22 | semidirect |
| 26. C2×M16×C79 | C22 | semidirect |
| 27. C22⋊C8×C79 | C22 | semidirect |
| 33. C2×Dic158 | C23 | semidirect |
| 40. C2×D316 | D4 | semidirect |
| 42. C2×D316 | C23 | semidirect |
| 48. C4⋊Dic79 | C23 | semidirect |
| 61. C2×C8×C79 | C23 | semidirect |
| 98. C22×C79 | AGL(1,ℤ/8) | semidirect |
| 118. C79 | #3003 | semidirect |
| 125. #407 | D79 | semidirect |
| 137. C2×M16 | C2×D79 | semidirect |
| 145. C22⋊C8 | C2×D79 | semidirect |
| 173. C2×C8 | C22×D79 | semidirect |
| 222. C22 | #14579189 | semidirect |