Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
214 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 55 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. #19098942 | C2 | semidirect |
| 3. #19098859 | C2 | semidirect |
| 5. #19098293 | C2 | semidirect |
| 7. #333×C79 | C2 | semidirect |
| 59. D316 | Q16 | semidirect |
| 88. C79 | #1632 | semidirect |
| 93. #333 | D79 | semidirect |