Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14579183 | C2 | semidirect |
| 2. #19098999 | C2 | direct (N × H) |
| 3. C2×#14579105 | C2 | semidirect |
| 4. C2×#14579102 | C2 | semidirect |
| 5. C2×#14579101 | C2 | semidirect |
| 6. C22×D8×C79 | C2 | semidirect |
| 9. #14579183 | C22 | semidirect |
| 10. C2×Dic316 | C22 | semidirect |
| 12. C2×D632 | C22 | semidirect |
| 13. #14579105 | C22 | semidirect |
| 14. #14579102 | C22 | semidirect |
| 15. #14579101 | C22 | semidirect |
| 16. C2×C79⋊C16 | C22 | semidirect |
| 21. C2×D8×C79 | C22 | semidirect |
| 30. Dic316 | C23 | semidirect |
| 33. D632 | C23 | semidirect |
| 34. C79⋊C16 | C23 | semidirect |
| 84. C2×C79 | #509 | semidirect |
| 88. C79 | C2×#509 | semidirect |
| 90. C22×D8 | D79 | semidirect |
| 105. C2×D8 | C2×D79 | semidirect |
| 173. C2 | #19098999 | direct (N × H) |