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×#14579193 | C2 | semidirect |
| 3. C22⋊Q8×D79 | C2 | semidirect |
| 4. #19098728 | C2 | semidirect |
| 5. #19098724 | C2 | semidirect |
| 6. #19098719 | C2 | semidirect |
| 7. #19098716 | C2 | semidirect |
| 8. #19098713 | C2 | semidirect |
| 9. #19098563 | C2 | semidirect |
| 10. #19098525 | C2 | semidirect |
| 11. #451×C79 | C2 | semidirect |
| 17. C2×Q8×D79 | C22 | semidirect |
| 23. C2×#11929614 | C22 | semidirect |
| 24. C2×#11929613 | C22 | semidirect |
| 25. C2×#11929611 | C22 | semidirect |
| 26. C2×#11929607 | C22 | semidirect |
| 27. #14579141 | C22 | semidirect |
| 31. #14579137 | C22 | semidirect |
| 33. C4⋊C4×D79 | C22 | semidirect |
| 35. #14579085 | C22 | semidirect |
| 36. #14579083 | C22 | semidirect |
| 37. #14579081 | C22 | semidirect |
| 39. (C2×D79)⋊C8 | C22 | semidirect |
| 41. C2×Q16×C79 | C22 | semidirect |
| 43. #103×C79 | C22 | semidirect |
| 142. C22×C79 | #137 | semidirect |
| 172. C79 | #3007 | semidirect |
| 179. #451 | D79 | semidirect |
| 197. C2×Q16 | C2×D79 | semidirect |
| 211. #103 | C2×D79 | semidirect |
| 325. C22 | #14579193 | semidirect |