Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
526 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 131 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×D8×D79 | C2 | semidirect |
| 2. #19099201 | C2 | semidirect |
| 3. #19098948 | C2 | semidirect |
| 4. #19098801 | C2 | semidirect |
| 5. #19098799 | C2 | semidirect |
| 6. #19098780 | C2 | semidirect |
| 7. #19098712 | C2 | semidirect |
| 8. #19098708 | C2 | semidirect |
| 9. D8×Dic79 | C2 | semidirect |
| 10. C8×C22⋊D79 | C2 | semidirect |
| 11. C2×#135×C79 | C2 | semidirect |
| 13. C2×#11929611 | C22 | semidirect |
| 18. #14579150 | C22 | semidirect |
| 21. #14579135 | C22 | semidirect |
| 24. D4×Dic79 | C22 | semidirect |
| 27. #14579095 | C22 | semidirect |
| 28. Dic79⋊C8 | C22 | semidirect |
| 29. #14579085 | C22 | semidirect |
| 30. #14579083 | C22 | semidirect |
| 31. #14579082 | C22 | semidirect |
| 32. C22⋊(C79⋊C8) | C22 | semidirect |
| 34. C8×Dic79 | C22 | semidirect |
| 35. C2×#41×C79 | C22 | semidirect |
| 37. C2×Q16×C79 | C22 | semidirect |
| 38. C2×SD16×C79 | C22 | semidirect |
| 40. C22×C8×C79 | C22 | semidirect |
| 76. D8×C79 | D4 | semidirect |
| 127. C2×D79 | #135 | semidirect |
| 144. C79 | #3280 | semidirect |
| 145. C2×#135 | D79 | semidirect |
| 156. C2×#41 | C2×D79 | semidirect |
| 159. C2×Q16 | C2×D79 | semidirect |
| 161. C2×SD16 | C2×D79 | semidirect |
| 167. C22×C8 | C2×D79 | semidirect |
| 206. D8 | C22⋊D79 | semidirect |