Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
756 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 756 conjugacy classes of subgroups — too many to draw. Only its 209 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. #19099329 | C2 | semidirect |
| 3. #19098545 | C2 | semidirect |
| 4. #19098544 | C2 | semidirect |
| 5. C2×#14579078 | C2 | semidirect |
| 6. #100×D79 | C2 | semidirect |
| 7. C2×#100×C79 | C2 | semidirect |
| 19. C2×#11929608 | C22 | semidirect |
| 20. M16×D79 | C22 | semidirect |
| 21. #14579079 | C22 | semidirect |
| 22. #14579078 | C22 | semidirect |
| 23. #14579077 | C22 | semidirect |
| 25. C2×M16×C79 | C22 | semidirect |
| 26. #100×C79 | C22 | semidirect |
| 120. C79 | #2888 | semidirect |
| 127. C2×#100 | D79 | semidirect |
| 142. C2×M16 | C2×D79 | semidirect |
| 146. #100 | C2×D79 | semidirect |