Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
468 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14579120 | C2 | semidirect |
| 3. #19098888 | C2 | direct (N × H) |
| 4. C2×#14579095 | C2 | semidirect |
| 5. C2×#14579093 | C2 | semidirect |
| 6. C2×#14579083 | C2 | semidirect |
| 7. C2×#14579083 | C2 | semidirect |
| 8. C2×C22⋊C8×C79 | C2 | semidirect |
| 14. #14579120 | C22 | semidirect |
| 21. #14579095 | C22 | semidirect |
| 22. #14579093 | C22 | semidirect |
| 23. #14579083 | C22 | semidirect |
| 24. #14579083 | C22 | semidirect |
| 28. C22⋊C8×C79 | C22 | semidirect |
| 109. C2×C79 | #482 | semidirect |
| 115. C79 | C2×#482 | semidirect |
| 123. C2×C22⋊C8 | D79 | semidirect |
| 143. C22⋊C8 | C2×D79 | semidirect |
| 225. C2 | #19098888 | direct (N × H) |