Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
738 conjugacy classes of subgroups; only the 249 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 249 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. #19099330 | C2 | semidirect |
| 3. #19098581 | C2 | semidirect |
| 4. C2×#14579089 | C2 | semidirect |
| 5. C4×#41×C79 | C2 | semidirect |
| 7. #14579208 | C4 | semidirect |
| 8. #14579207 | C4 | semidirect |
| 13. C2×#11929608 | C22 | semidirect |
| 14. #14579089 | C22 | semidirect |
| 15. #14579089 | C22 | semidirect |
| 19. #117×C79 | C22 | semidirect |
| 20. C2×C42×C79 | C22 | semidirect |
| 24. #11929624 | C2×C4 | semidirect |
| 27. C2×Dic158 | C2×C4 | semidirect |
| 29. C2×D316 | C2×C4 | semidirect |
| 84. C79 | #2901 | semidirect |
| 87. C4×#41 | D79 | semidirect |
| 101. #117 | C2×D79 | semidirect |
| 102. C2×C42 | C2×D79 | semidirect |