Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
436 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19099111 | C2 | semidirect |
| 2. #19099110 | C2 | semidirect |
| 3. #19098844 | C2 | semidirect |
| 4. #19098843 | C2 | semidirect |
| 5. #19098841 | C2 | semidirect |
| 6. #19098798 | C2 | semidirect |
| 7. #19098796 | C2 | semidirect |
| 8. #19098756 | C2 | semidirect |
| 9. #19098755 | C2 | semidirect |
| 10. C4⋊C8×D79 | C2 | semidirect |
| 11. #459×C79 | C2 | semidirect |
| 115. C4×D79 | D8 | semidirect |
| 151. C79 | #3245 | semidirect |
| 161. #459 | D79 | semidirect |