Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
184 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19098763 | C2 | semidirect |
| 3. #19098694 | C2 | semidirect |
| 4. #19098313 | C2 | semidirect |
| 5. #19098307 | C2 | semidirect |
| 6. #19098306 | C2 | semidirect |
| 7. #460×C79 | C2 | semidirect |
| 66. C79⋊C8 | SD16 | semidirect |
| 87. C79 | #1688 | semidirect |
| 90. #460 | D79 | semidirect |