Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
420 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 115 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. C2×#14579137 | C2 | semidirect |
| 3. #19098903 | C2 | semidirect |
| 4. #19098891 | C2 | semidirect |
| 5. #19098877 | C2 | semidirect |
| 6. #19098801 | C2 | semidirect |
| 7. #19098795 | C2 | semidirect |
| 8. #19098724 | C2 | semidirect |
| 9. #19098702 | C2 | semidirect |
| 10. C22⋊C8×D79 | C2 | semidirect |
| 11. #451×C79 | C2 | semidirect |
| 14. C2×#11929611 | C22 | semidirect |
| 31. #14579095 | C22 | semidirect |
| 32. #14579092 | C22 | semidirect |
| 33. #14579085 | C22 | semidirect |
| 34. #14579085 | C22 | semidirect |
| 35. #14579083 | C22 | semidirect |
| 39. C2×Q16×C79 | C22 | semidirect |
| 41. #103×C79 | C22 | semidirect |
| 150. C79 | #3190 | semidirect |
| 159. #451 | D79 | semidirect |
| 165. C2×Q16 | C2×D79 | semidirect |
| 188. #103 | C2×D79 | semidirect |