Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
422 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 161 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 |
|---|---|---|
| 2. #19098636 | C2 | semidirect |
| 3. #19098633 | C2 | semidirect |
| 4. C8×D316 | C2 | semidirect |
| 5. #19098628 | C2 | semidirect |
| 6. #19098624 | C2 | semidirect |
| 7. #19098528 | C2 | semidirect |
| 8. C22⋊C8×D79 | C2 | semidirect |
| 9. #433×C79 | C2 | semidirect |
| 12. C2×#11929607 | C22 | semidirect |
| 15. C2×C8×D79 | C22 | semidirect |
| 22. C4⋊(C79⋊C8) | C22 | semidirect |
| 26. (C2×D79)⋊C8 | C22 | semidirect |
| 27. (C2×D79)⋊C8 | C22 | semidirect |
| 28. #14579072 | C22 | semidirect |
| 29. C4×C79⋊C8 | C22 | semidirect |
| 31. C4⋊C8×C79 | C22 | semidirect |
| 33. #97×C79 | C22 | semidirect |
| 34. C4×C8×C79 | C22 | semidirect |
| 115. C79 | #2977 | semidirect |
| 122. #433 | D79 | semidirect |
| 139. C4⋊C8 | C2×D79 | semidirect |
| 147. #97 | C2×D79 | semidirect |
| 149. C4×C8 | C2×D79 | semidirect |