Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
608 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 608 conjugacy classes of subgroups — too many to draw. Only its 205 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×C4×D316 | C2 | semidirect |
| 3. #19098673 | C2 | direct (N × H) |
| 4. C2×#14579092 | C2 | semidirect |
| 5. C2×#14579082 | C2 | semidirect |
| 6. C2×#14579081 | C2 | semidirect |
| 7. C2×#14579072 | C2 | semidirect |
| 8. C2×C4×D4×C79 | C2 | semidirect |
| 11. C2×#11929609 | C4 | semidirect |
| 16. C4×D316 | C22 | semidirect |
| 19. #14579092 | C22 | semidirect |
| 20. #14579082 | C22 | semidirect |
| 21. #14579081 | C22 | semidirect |
| 22. #14579072 | C22 | semidirect |
| 26. C4×D4×C79 | C22 | semidirect |
| 33. C2×D316 | C2×C4 | semidirect |
| 38. #11929609 | C2×C4 | semidirect |
| 40. C2×C79⋊C8 | C2×C4 | semidirect |
| 49. C2×D4×C79 | C2×C4 | semidirect |
| 73. D4×C79 | C22×C4 | semidirect |
| 89. D316 | C22×C4 | semidirect |
| 92. C79⋊C8 | C22×C4 | semidirect |
| 113. C2×C79 | #442 | semidirect |
| 119. C79 | C2×#442 | semidirect |
| 122. C2×C4×D4 | D79 | semidirect |
| 139. C4×D4 | C2×D79 | semidirect |
| 157. C2×D4 | C4×D79 | semidirect |
| 195. D4 | C2×C4×D79 | semidirect |
| 233. C2 | #19098673 | direct (N × H) |