Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
348 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 348 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 |
|---|---|---|
| 2. #19099291 | C2 | semidirect |
| 3. #19098918 | C2 | semidirect |
| 5. #19098864 | C2 | semidirect |
| 6. #19098849 | C2 | semidirect |
| 7. #19098786 | C2 | semidirect |
| 9. C4×Dic316 | C2 | semidirect |
| 10. C4×#11929613 | C2 | semidirect |
| 11. C8×Q8×C79 | C2 | semidirect |
| 118. C79 | #3365 | semidirect |
| 127. C8×Q8 | D79 | semidirect |