Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
348 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 137 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. #19098973 | C2 | semidirect |
| 4. #19098972 | C2 | semidirect |
| 5. #19098971 | C2 | semidirect |
| 6. #19098970 | C2 | semidirect |
| 7. #19098969 | C2 | semidirect |
| 11. #501×C79 | C2 | semidirect |
| 50. C8×D79 | Q8 | semidirect |
| 122. C79 | #3162 | semidirect |
| 130. #501 | D79 | semidirect |