Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
800 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 800 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. C2×D4×Dic89 | C2 | semidirect |
| 3. C22×#13083551 | C2 | semidirect |
| 4. #19151520 | C2 | semidirect |
| 5. #19151513 | C2 | semidirect |
| 6. #19151488 | C2 | semidirect |
| 7. #19151475 | C2 | semidirect |
| 8. #19151461 | C2 | semidirect |
| 9. #19151456 | C2 | semidirect |
| 10. #19151453 | C2 | semidirect |
| 11. C2×#123×C89 | C2 | semidirect |
| 15. C23×Dic89 | C22 | semidirect |
| 18. C2×C4⋊Dic89 | C22 | semidirect |
| 19. C2×#13083553 | C22 | semidirect |
| 22. C2×C22⋊Dic89 | C22 | semidirect |
| 29. C2×C4×Dic89 | C22 | semidirect |
| 30. #15667919 | C22 | semidirect |
| 31. #15667919 | C22 | semidirect |
| 32. #15667919 | C22 | semidirect |
| 36. C2×C4⋊C4×C89 | C22 | semidirect |
| 38. C2×C22⋊C4×C89 | C22 | semidirect |
| 51. C22×Dic89 | D4 | semidirect |
| 170. C89 | #2534 | semidirect |
| 171. C2×#123 | D89 | semidirect |
| 193. C2×C4⋊C4 | C2×D89 | semidirect |
| 204. C2×C22⋊C4 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667980 | 2 |
| C2×D4×Dic89 | 2 |
| C22×#13083551 | 2 |
| #19151520 | 2 |
| #19151513 | 2 |
| #19151488 | 2 |
| #19151475 | 2 |
| #19151461 | 2 |
| #19151456 | 2 |
| #19151453 | 2 |
| C2×#123×C89 | 2 |
| #2534 | 89 |