Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 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. C4⋊Q8×D79 | C2 | semidirect |
| 3. #19098966 | C2 | semidirect |
| 4. #19098911 | C2 | semidirect |
| 5. #19098910 | C2 | semidirect |
| 6. #19098878 | C2 | semidirect |
| 7. #19098842 | C2 | semidirect |
| 8. #19098614 | C2 | semidirect |
| 9. #500×C79 | C2 | semidirect |
| 114. C79 | #3226 | semidirect |
| 118. #500 | D79 | semidirect |