Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
460 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19099198 | C2 | semidirect |
| 3. #19098909 | C2 | semidirect |
| 4. #19098886 | C2 | semidirect |
| 5. #19098854 | C2 | semidirect |
| 6. #19098813 | C2 | semidirect |
| 7. #19098695 | C2 | semidirect |
| 8. C4×#11929609 | C2 | semidirect |
| 9. #19098640 | C2 | semidirect |
| 10. #19098566 | C2 | semidirect |
| 11. #459×C79 | C2 | semidirect |
| 15. C2×#11929607 | C22 | semidirect |
| 16. #14579161 | C22 | semidirect |
| 21. #14579132 | C22 | semidirect |
| 26. #14579119 | C22 | semidirect |
| 27. #14579094 | C22 | semidirect |
| 28. #14579093 | C22 | semidirect |
| 30. #14579082 | C22 | semidirect |
| 31. #14579082 | C22 | semidirect |
| 32. #14579082 | C22 | semidirect |
| 34. (C2×D79)⋊C8 | C22 | semidirect |
| 35. C4×C79⋊C8 | C22 | semidirect |
| 36. C2×D8×C79 | C22 | semidirect |
| 38. C4×D4×C79 | C22 | semidirect |
| 39. C4⋊C8×C79 | C22 | semidirect |
| 40. #102×C79 | C22 | semidirect |
| 141. C79 | #3325 | semidirect |
| 148. #459 | D79 | semidirect |
| 156. C2×D8 | C2×D79 | semidirect |
| 168. C4×D4 | C2×D79 | semidirect |
| 173. C4⋊C8 | C2×D79 | semidirect |
| 179. #102 | C2×D79 | semidirect |