Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
356 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. #19098900 | C2 | semidirect |
| 3. #19098855 | C2 | semidirect |
| 4. #19098805 | C2 | semidirect |
| 5. C4×Dic316 | C2 | semidirect |
| 7. #107×D79 | C2 | semidirect |
| 8. #500×C79 | C2 | semidirect |
| 58. D316 | Q16 | semidirect |
| 84. C79 | #3338 | semidirect |
| 86. #500 | D79 | semidirect |