Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
526 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 123 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×#14579184 | C2 | semidirect |
| 2. C2×D8×D79 | C2 | semidirect |
| 3. #19099206 | C2 | semidirect |
| 4. #19098801 | C2 | semidirect |
| 5. #19098796 | C2 | semidirect |
| 6. #19098775 | C2 | semidirect |
| 7. #19098712 | C2 | semidirect |
| 8. #19098707 | C2 | semidirect |
| 9. C4×D632 | C2 | semidirect |
| 10. C8×D316 | C2 | semidirect |
| 11. #495×C79 | C2 | semidirect |
| 12. C2×#11929625 | C22 | semidirect |
| 15. C2×#11929611 | C22 | semidirect |
| 20. C2×C8×D79 | C22 | semidirect |
| 24. #14579132 | C22 | semidirect |
| 27. C4×D316 | C22 | semidirect |
| 29. #14579095 | C22 | semidirect |
| 30. C4⋊(C79⋊C8) | C22 | semidirect |
| 31. #14579085 | C22 | semidirect |
| 32. #14579083 | C22 | semidirect |
| 33. #14579082 | C22 | semidirect |
| 35. (C2×D79)⋊C8 | C22 | semidirect |
| 36. C2×Q16×C79 | C22 | semidirect |
| 37. C2×SD16×C79 | C22 | semidirect |
| 39. #124×C79 | C22 | semidirect |
| 40. C4×C8×C79 | C22 | semidirect |
| 56. D632 | D4 | semidirect |
| 127. C2×D79 | #135 | semidirect |
| 144. C79 | #3280 | semidirect |
| 148. #495 | D79 | semidirect |
| 159. C2×Q16 | C2×D79 | semidirect |
| 161. C2×SD16 | C2×D79 | semidirect |
| 168. #124 | C2×D79 | semidirect |
| 184. C4×C8 | C2×D79 | semidirect |