Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
376 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 3. #19098873 | C2 | semidirect |
| 4. #19098872 | C2 | semidirect |
| 5. #19098859 | C2 | semidirect |
| 6. #19098858 | C2 | semidirect |
| 7. #19098845 | C2 | semidirect |
| 11. #475×C79 | C2 | semidirect |
| 47. Q8×D79 | Q8 | semidirect |
| 131. C79 | #3078 | semidirect |
| 139. #475 | D79 | semidirect |