Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 1. #19099178 | C2 | semidirect |
| 2. #19098967 | C2 | semidirect |
| 3. #19098946 | C2 | semidirect |
| 4. #19098921 | C2 | semidirect |
| 5. #19098808 | C2 | semidirect |
| 6. #19098805 | C2 | semidirect |
| 8. #19098663 | C2 | semidirect |
| 9. C4×Dic316 | C2 | semidirect |
| 10. #19098517 | C2 | semidirect |
| 11. C4×D8×C79 | C2 | semidirect |
| 118. C79 | #3175 | semidirect |
| 128. C4×D8 | D79 | semidirect |