Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
396 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 396 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. #19099274 | C2 | semidirect |
| 2. #19099234 | C2 | semidirect |
| 3. #19098926 | C2 | semidirect |
| 4. #19098911 | C2 | semidirect |
| 5. #19098862 | C2 | semidirect |
| 6. #19098759 | C2 | semidirect |
| 7. #19098757 | C2 | semidirect |
| 8. #19098690 | C2 | semidirect |
| 9. #19098674 | C2 | semidirect |
| 10. C4×#11929609 | C2 | semidirect |
| 11. #476×C79 | C2 | semidirect |
| 96. D316 | #41 | semidirect |
| 130. C79 | #3366 | semidirect |
| 136. #476 | D79 | semidirect |