Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
324 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19098606 | C2 | semidirect |
| 3. #19098605 | C2 | semidirect |
| 6. #19098323 | C2 | semidirect |
| 7. #339×C79 | C2 | semidirect |
| 22. #14579077 | C4 | semidirect |
| 37. #11929608 | C2×C4 | semidirect |
| 51. M16×C79 | C2×C4 | semidirect |
| 115. C79 | #1856 | semidirect |
| 122. #339 | D79 | semidirect |
| 156. M16 | C4×D79 | semidirect |