Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
754 conjugacy classes of subgroups; only the 169 normal subgroups are shown.
This group has 754 conjugacy classes of subgroups — too many to draw. Only its 169 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. C2×#14579140 | C2 | semidirect |
| 3. #19098725 | C2 | semidirect |
| 4. #19098719 | C2 | semidirect |
| 5. #19098714 | C2 | semidirect |
| 6. #19098564 | C2 | semidirect |
| 7. #19098527 | C2 | semidirect |
| 9. C22×Dic158 | C22 | semidirect |
| 11. C2×#11929614 | C22 | semidirect |
| 12. C2×#11929612 | C22 | semidirect |
| 13. C2×#11929608 | C22 | semidirect |
| 17. #14579140 | C22 | semidirect |
| 18. C2×C4⋊Dic79 | C22 | semidirect |
| 21. #14579085 | C22 | semidirect |
| 22. #14579082 | C22 | semidirect |
| 24. C22⋊(C79⋊C8) | C22 | semidirect |
| 130. C22×C79 | #137 | semidirect |
| 147. C79 | #3007 | semidirect |
| 277. C22 | #14579191 | semidirect |