Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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. #19099120 | C2 | semidirect |
| 3. #19098936 | C2 | semidirect |
| 4. #19098910 | C2 | semidirect |
| 5. #19098764 | C2 | semidirect |
| 6. #19098716 | C2 | semidirect |
| 7. #431×C79 | C2 | semidirect |
| 11. C2×#11929613 | C22 | semidirect |
| 12. #14579161 | C22 | semidirect |
| 13. #14579161 | C22 | semidirect |
| 22. C4×Dic158 | C22 | semidirect |
| 24. #14579083 | C22 | semidirect |
| 26. C4⋊C8×C79 | C22 | semidirect |
| 28. C4×C8×C79 | C22 | semidirect |
| 65. C2×C4×C79 | SD16 | semidirect |
| 105. C79 | #3208 | semidirect |
| 112. #431 | D79 | semidirect |
| 130. C4⋊C8 | C2×D79 | semidirect |
| 133. C4×C8 | C2×D79 | semidirect |
| 180. C2×C4 | #11929613 | semidirect |