Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
364 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 364 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. #19099278 | C2 | semidirect |
| 2. #19098966 | C2 | semidirect |
| 3. #19098887 | C2 | semidirect |
| 4. #19098884 | C2 | semidirect |
| 5. #19098853 | C2 | semidirect |
| 6. #19098850 | C2 | semidirect |
| 7. #19098797 | C2 | semidirect |
| 8. C4×#11929609 | C2 | semidirect |
| 9. D4×C79⋊C8 | C2 | semidirect |
| 10. #19098599 | C2 | semidirect |
| 11. #555×C79 | C2 | semidirect |
| 126. C79 | #3341 | semidirect |
| 128. #555 | D79 | semidirect |