Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
468 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#14579191 | C2 | semidirect |
| 2. C22×#11929612 | C2 | semidirect |
| 3. C2×#14579168 | C2 | semidirect |
| 4. #19098824 | C2 | direct (N × H) |
| 5. C2×#14579096 | C2 | semidirect |
| 6. C2×#14579079 | C2 | semidirect |
| 7. C2×#14579078 | C2 | semidirect |
| 11. #14579191 | C22 | semidirect |
| 17. C2×#11929612 | C22 | semidirect |
| 19. #14579168 | C22 | semidirect |
| 25. #14579096 | C22 | semidirect |
| 26. #14579079 | C22 | semidirect |
| 27. #14579078 | C22 | semidirect |
| 136. C2×C79 | #471 | semidirect |
| 139. C79 | C2×#471 | semidirect |
| 275. C2 | #19098824 | direct (N × H) |