Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19099270 | C2 | semidirect |
| 2. #19099234 | C2 | semidirect |
| 3. #19098926 | C2 | semidirect |
| 4. #19098910 | C2 | semidirect |
| 5. #19098866 | C2 | semidirect |
| 6. #19098853 | C2 | semidirect |
| 7. #19098758 | C2 | semidirect |
| 8. #19098756 | C2 | semidirect |
| 9. #19098693 | C2 | semidirect |
| 10. #19098672 | C2 | semidirect |
| 11. C4×D8×C79 | C2 | semidirect |
| 80. D4×C79 | #41 | semidirect |
| 130. C79 | #3366 | semidirect |
| 141. C4×D8 | D79 | semidirect |
| 218. D4 | #11929624 | semidirect |