Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
444 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 444 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 |
|---|---|---|
| 1. C2×#14579149 | C2 | semidirect |
| 2. #19098950 | C2 | semidirect |
| 3. #19098925 | C2 | semidirect |
| 4. #19098778 | C2 | semidirect |
| 5. #19098701 | C2 | semidirect |
| 6. #19098696 | C2 | semidirect |
| 7. #19098620 | C2 | semidirect |
| 8. #532×C79 | C2 | semidirect |
| 11. C2×#11929612 | C22 | semidirect |
| 19. C4⋊(C79⋊C8) | C22 | semidirect |
| 20. #14579084 | C22 | semidirect |
| 23. #14579072 | C22 | semidirect |
| 25. C4⋊Q8×C79 | C22 | semidirect |
| 26. #127×C79 | C22 | semidirect |
| 31. C4×D4×C79 | C22 | semidirect |
| 121. C79 | #3213 | semidirect |
| 122. #532 | D79 | semidirect |
| 135. C4⋊Q8 | C2×D79 | semidirect |
| 136. #127 | C2×D79 | semidirect |
| 145. C4×D4 | C2×D79 | semidirect |