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. #19099113 | C2 | semidirect |
| 2. C2×#14579149 | C2 | semidirect |
| 3. #19098952 | C2 | semidirect |
| 4. #19098923 | C2 | semidirect |
| 5. #19098779 | C2 | semidirect |
| 6. #19098704 | C2 | semidirect |
| 7. #19098699 | C2 | semidirect |
| 8. #432×C79 | C2 | semidirect |
| 12. C2×#11929613 | C22 | semidirect |
| 14. #14579161 | C22 | semidirect |
| 15. #14579158 | C22 | semidirect |
| 24. C4×D316 | C22 | semidirect |
| 27. #14579086 | C22 | semidirect |
| 30. C4⋊C8×C79 | C22 | semidirect |
| 32. #97×C79 | C22 | semidirect |
| 121. C79 | #3213 | semidirect |
| 129. #432 | D79 | semidirect |
| 149. C4⋊C8 | C2×D79 | semidirect |
| 153. #97 | C2×D79 | semidirect |