Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
754 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 754 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 |
|---|---|---|
| 2. C2×#14579190 | C2 | semidirect |
| 3. C22⋊Q8×D79 | C2 | semidirect |
| 4. #19098726 | C2 | semidirect |
| 5. #19098722 | C2 | semidirect |
| 6. #19098721 | C2 | semidirect |
| 7. #19098718 | C2 | semidirect |
| 8. #19098714 | C2 | semidirect |
| 9. #19098561 | C2 | semidirect |
| 10. #19098525 | C2 | semidirect |
| 11. #450×C79 | C2 | semidirect |
| 18. C2×Q8×D79 | C22 | semidirect |
| 23. C2×Dic316 | C22 | semidirect |
| 24. C2×#11929614 | C22 | semidirect |
| 25. C2×#11929612 | C22 | semidirect |
| 26. C2×#11929607 | C22 | semidirect |
| 27. #14579141 | C22 | semidirect |
| 31. #14579137 | C22 | semidirect |
| 33. C4⋊C4×D79 | 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 |
| 146. C22×C79 | #137 | semidirect |
| 172. C79 | #3007 | semidirect |
| 181. #450 | D79 | semidirect |
| 199. C2×SD16 | C2×D79 | semidirect |
| 213. #102 | C2×D79 | semidirect |
| 325. C22 | #14579190 | semidirect |