Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
760 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 760 conjugacy classes of subgroups — too many to draw. Only its 181 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 |
|---|---|---|
| 1. C22×#11929614 | C2 | semidirect |
| 2. C22×#11929612 | C2 | semidirect |
| 3. C2×#14579140 | C2 | semidirect |
| 4. #19098725 | C2 | direct (N × H) |
| 5. C2×#14579085 | C2 | semidirect |
| 6. C2×#14579082 | C2 | semidirect |
| 7. C2×C22⋊(C79⋊C8) | C2 | semidirect |
| 11. C2×#11929614 | C22 | semidirect |
| 13. C2×#11929612 | C22 | semidirect |
| 17. #14579140 | C22 | semidirect |
| 21. #14579085 | C22 | semidirect |
| 22. #14579082 | C22 | semidirect |
| 23. C22⋊(C79⋊C8) | C22 | semidirect |
| 131. C2×C79 | #452 | semidirect |
| 136. C79 | C2×#452 | semidirect |
| 267. C2 | #19098725 | direct (N × H) |