Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
500 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 157 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 |
| 3. C2×C4×Dic158 | C2 | semidirect |
| 4. #19098782 | C2 | direct (N × H) |
| 5. C2×C4⋊(C79⋊C8) | C2 | semidirect |
| 6. C2×#14579085 | C2 | semidirect |
| 11. C2×#11929614 | C22 | semidirect |
| 17. C4×Dic158 | C22 | semidirect |
| 21. C4⋊(C79⋊C8) | C22 | semidirect |
| 22. #14579085 | C22 | semidirect |
| 111. C2×C79 | #464 | semidirect |
| 116. C79 | C2×#464 | semidirect |
| 227. C2 | #19098782 | direct (N × H) |