Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
414 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 414 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×#14579120 | C2 | semidirect |
| 2. #19098901 | C2 | semidirect |
| 3. #19098884 | C2 | semidirect |
| 4. #19098606 | C2 | semidirect |
| 5. #19098564 | C2 | semidirect |
| 6. #19098527 | C2 | semidirect |
| 14. #14579094 | C22 | semidirect |
| 15. #14579092 | C22 | semidirect |
| 16. #14579085 | C22 | semidirect |
| 17. #14579082 | C22 | semidirect |
| 95. C79 | #3093 | semidirect |