Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
420 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19099132 | C2 | semidirect |
| 2. #19098950 | C2 | semidirect |
| 3. #19098939 | C2 | semidirect |
| 4. #19098929 | C2 | semidirect |
| 5. #19098920 | C2 | semidirect |
| 6. #19098778 | C2 | semidirect |
| 7. #19098758 | C2 | semidirect |
| 8. #19098706 | C2 | semidirect |
| 9. #19098696 | C2 | semidirect |
| 10. #19098624 | C2 | semidirect |
| 11. #540×C79 | C2 | semidirect |
| 14. C2×#11929612 | C22 | semidirect |
| 17. C2×#11929609 | C22 | semidirect |
| 24. C4⋊(C79⋊C8) | C22 | semidirect |
| 25. #14579084 | C22 | semidirect |
| 28. #14579081 | C22 | semidirect |
| 30. #14579072 | C22 | semidirect |
| 31. C4×C79⋊C8 | C22 | semidirect |
| 32. #127×C79 | C22 | semidirect |
| 33. #125×C79 | C22 | semidirect |
| 37. C4×D4×C79 | C22 | semidirect |
| 129. C79 | #3220 | semidirect |
| 130. #540 | D79 | semidirect |
| 149. #127 | C2×D79 | semidirect |
| 150. #125 | C2×D79 | semidirect |
| 158. C4×D4 | C2×D79 | semidirect |