Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
520 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 520 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 |
|---|---|---|
| 1. C2×#14579132 | C2 | semidirect |
| 2. #121×D79 | C2 | semidirect |
| 3. #19098877 | C2 | semidirect |
| 4. #19098875 | C2 | semidirect |
| 5. #19098874 | C2 | semidirect |
| 6. #19098798 | C2 | semidirect |
| 7. #19098796 | C2 | semidirect |
| 8. #19098697 | C2 | semidirect |
| 9. #19098695 | C2 | semidirect |
| 10. C22⋊C8×D79 | C2 | semidirect |
| 11. #447×C79 | C2 | semidirect |
| 14. C2×D4×D79 | C22 | semidirect |
| 16. C2×#11929609 | C22 | semidirect |
| 17. C2×C8×D79 | C22 | semidirect |
| 18. #14579136 | C22 | semidirect |
| 25. #14579132 | C22 | semidirect |
| 26. #14579132 | C22 | semidirect |
| 27. C2×C4⋊Dic79 | C22 | semidirect |
| 28. C4⋊C4×D79 | C22 | semidirect |
| 31. #14579095 | C22 | semidirect |
| 32. #14579094 | C22 | semidirect |
| 33. #14579083 | C22 | semidirect |
| 34. #14579082 | C22 | semidirect |
| 35. #14579082 | C22 | semidirect |
| 36. C22⋊(C79⋊C8) | C22 | semidirect |
| 37. (C2×D79)⋊C8 | C22 | semidirect |
| 38. C22×D4×C79 | C22 | semidirect |
| 39. C2×D8×C79 | C22 | semidirect |
| 41. #102×C79 | C22 | semidirect |
| 42. C22⋊C8×C79 | C22 | semidirect |
| 98. C22×D79 | D8 | semidirect |
| 169. C79 | #3186 | semidirect |
| 179. #447 | D79 | semidirect |
| 184. C22×D4 | C2×D79 | semidirect |
| 187. C2×D8 | C2×D79 | semidirect |
| 208. #102 | C2×D79 | semidirect |
| 211. C22⋊C8 | C2×D79 | semidirect |