Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
764 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 764 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. C22×#11929623 | C2 | semidirect |
| 2. C2×#14579182 | C2 | semidirect |
| 3. #19099076 | C2 | semidirect |
| 4. #19098722 | C2 | semidirect |
| 5. #19098718 | C2 | semidirect |
| 6. #19098709 | C2 | semidirect |
| 7. #19098704 | C2 | semidirect |
| 8. #19098697 | C2 | semidirect |
| 9. #19098556 | C2 | semidirect |
| 10. C22⋊C8×D79 | C2 | semidirect |
| 11. #450×C79 | C2 | semidirect |
| 12. C2×#11929625 | C22 | semidirect |
| 23. C2×#11929614 | C22 | semidirect |
| 24. C2×#11929613 | C22 | semidirect |
| 25. C2×#11929609 | C22 | semidirect |
| 26. C2×C8×D79 | C22 | semidirect |
| 28. #14579137 | C22 | semidirect |
| 29. #14579136 | C22 | semidirect |
| 34. #14579119 | C22 | semidirect |
| 35. #14579086 | C22 | semidirect |
| 36. #14579084 | C22 | semidirect |
| 37. #14579082 | C22 | semidirect |
| 39. (C2×D79)⋊C8 | C22 | semidirect |
| 41. C2×SD16×C79 | C22 | semidirect |
| 43. #102×C79 | C22 | semidirect |
| 52. #11929623 | D4 | semidirect |
| 147. C22×C79 | #135 | semidirect |
| 176. C79 | #3002 | semidirect |
| 182. #450 | D79 | semidirect |
| 202. C2×SD16 | C2×D79 | semidirect |
| 217. #102 | C2×D79 | semidirect |
| 333. C22 | #14579182 | semidirect |