Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
426 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19099233 | C2 | semidirect |
| 2. #19099228 | C2 | semidirect |
| 3. #19098908 | C2 | semidirect |
| 4. #19098841 | C2 | semidirect |
| 5. #19098840 | C2 | semidirect |
| 6. #19098757 | C2 | semidirect |
| 7. #19098755 | C2 | semidirect |
| 8. C8×Dic158 | C2 | semidirect |
| 9. C4×D632 | C2 | semidirect |
| 10. #19098643 | C2 | semidirect |
| 11. #486×C79 | C2 | semidirect |
| 97. D316 | #41 | semidirect |
| 102. Dic158 | D8 | semidirect |
| 132. C79 | #3358 | semidirect |
| 136. #486 | D79 | semidirect |