Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
394 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19098901 | C2 | semidirect |
| 3. #19098860 | C2 | semidirect |
| 4. #19098765 | C2 | semidirect |
| 6. #19098661 | C2 | semidirect |
| 7. C4×#11929611 | C2 | semidirect |
| 8. #19098624 | C2 | semidirect |
| 9. #541×C79 | C2 | semidirect |
| 18. #14579094 | C22 | semidirect |
| 19. #14579092 | C22 | semidirect |
| 20. C4⋊(C79⋊C8) | C22 | semidirect |
| 21. #14579085 | C22 | semidirect |
| 22. #14579085 | C22 | semidirect |
| 26. #14579072 | C22 | semidirect |
| 27. C4×C79⋊C8 | C22 | semidirect |
| 28. C4⋊Q8×C79 | C22 | semidirect |
| 31. #125×C79 | C22 | semidirect |
| 33. C4×Q8×C79 | C22 | semidirect |
| 103. C79 | #3123 | semidirect |
| 104. #541 | D79 | semidirect |
| 116. C4⋊Q8 | C2×D79 | semidirect |
| 119. #125 | C2×D79 | semidirect |
| 121. C4×Q8 | C2×D79 | semidirect |