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. #19099175 | C2 | semidirect |
| 3. #19098957 | C2 | semidirect |
| 4. #19098936 | C2 | semidirect |
| 5. #19098928 | C2 | semidirect |
| 6. #19098918 | C2 | semidirect |
| 7. #19098786 | C2 | semidirect |
| 8. #19098764 | C2 | semidirect |
| 9. #19098727 | C2 | semidirect |
| 10. #19098716 | C2 | semidirect |
| 11. #433×C79 | C2 | semidirect |
| 14. C2×Dic316 | C22 | semidirect |
| 17. C2×#11929613 | C22 | semidirect |
| 18. #14579161 | C22 | semidirect |
| 22. #14579153 | C22 | semidirect |
| 29. C4×Dic158 | C22 | semidirect |
| 30. #14579086 | C22 | semidirect |
| 33. #14579083 | C22 | semidirect |
| 35. C4⋊C8×C79 | C22 | semidirect |
| 37. #97×C79 | C22 | semidirect |
| 38. C4×C8×C79 | C22 | semidirect |
| 123. C79 | #3222 | semidirect |
| 134. #433 | D79 | semidirect |
| 154. C4⋊C8 | C2×D79 | semidirect |
| 160. #97 | C2×D79 | semidirect |
| 161. C4×C8 | C2×D79 | semidirect |