Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
262 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 65 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. #19098547 | C2 | semidirect |
| 3. #19098359 | C2 | semidirect |
| 4. #413×C79 | C2 | semidirect |
| 14. #14579080 | C22 | semidirect |
| 18. #101×C79 | C22 | semidirect |
| 99. C79 | #2134 | semidirect |
| 102. #413 | D79 | semidirect |
| 116. #101 | C2×D79 | semidirect |