Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
656 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14579188 | C2 | semidirect |
| 2. C2×#14579185 | C2 | semidirect |
| 3. #19099112 | C2 | semidirect |
| 4. #127×D79 | C2 | semidirect |
| 5. #19098953 | C2 | semidirect |
| 6. #19098952 | C2 | semidirect |
| 7. #19098950 | C2 | semidirect |
| 8. #19098938 | C2 | semidirect |
| 9. #19098934 | C2 | semidirect |
| 10. #19098515 | C2 | semidirect |
| 11. #496×C79 | C2 | semidirect |
| 18. C2×#11929613 | C22 | semidirect |
| 19. C2×#11929612 | C22 | semidirect |
| 20. C2×#11929611 | C22 | semidirect |
| 21. C2×D632 | C22 | semidirect |
| 22. C2×#11929609 | C22 | semidirect |
| 23. C2×#11929609 | C22 | semidirect |
| 25. #14579159 | C22 | semidirect |
| 29. #14579157 | C22 | semidirect |
| 30. #14579149 | C22 | semidirect |
| 34. #14579072 | C22 | semidirect |
| 35. C8×Dic79 | C22 | semidirect |
| 36. C2×SD16×C79 | C22 | semidirect |
| 37. C2×D8×C79 | C22 | semidirect |
| 39. #124×C79 | C22 | semidirect |
| 40. #97×C79 | C22 | semidirect |
| 66. #11929607 | D4 | semidirect |
| 113. C8×C79 | C2×D4 | semidirect |
| 114. C79⋊C8 | C2×D4 | semidirect |
| 132. Dic79 | AGL(1,ℤ/8) | semidirect |
| 141. C79 | #3151 | semidirect |
| 149. #496 | D79 | semidirect |
| 162. C2×SD16 | C2×D79 | semidirect |
| 166. C2×D8 | C2×D79 | semidirect |
| 175. #124 | C2×D79 | semidirect |
| 180. #97 | C2×D79 | semidirect |
| 255. C8 | D4×D79 | semidirect |