Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
492 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 181 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. C2×#14579169 | C2 | semidirect |
| 2. C22×#11929607 | C2 | semidirect |
| 4. #19098640 | C2 | semidirect |
| 5. #19098633 | C2 | semidirect |
| 6. #19098529 | C2 | semidirect |
| 7. #19098526 | C2 | semidirect |
| 8. #19098519 | C2 | semidirect |
| 9. #424×C79 | C2 | semidirect |
| 17. C2×#11929607 | C22 | semidirect |
| 19. C2×C8×D79 | C22 | semidirect |
| 26. (C2×D79)⋊C8 | C22 | semidirect |
| 27. #14579072 | C22 | semidirect |
| 28. C4×C79⋊C8 | C22 | semidirect |
| 32. C4⋊C8×C79 | C22 | semidirect |
| 50. C2×C79⋊C8 | D4 | semidirect |
| 114. C79 | #2930 | semidirect |
| 120. #424 | D79 | semidirect |
| 142. C4⋊C8 | C2×D79 | semidirect |