Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
388 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 388 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 |
|---|---|---|
| 1. #19099118 | C2 | semidirect |
| 3. #19098868 | C2 | semidirect |
| 4. #19098862 | C2 | semidirect |
| 5. #19098858 | C2 | semidirect |
| 6. #19098854 | C2 | semidirect |
| 7. #19098840 | C2 | semidirect |
| 8. #19098598 | C2 | semidirect |
| 9. C4⋊C8×D79 | C2 | semidirect |
| 11. #475×C79 | C2 | semidirect |
| 44. #11929625 | Q8 | semidirect |
| 135. C79 | #3076 | semidirect |
| 142. #475 | D79 | semidirect |