Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
596 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 177 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. #19151498 | C2 | semidirect |
| 3. #19151487 | C2 | semidirect |
| 4. #19151483 | C2 | semidirect |
| 5. #19151476 | C2 | semidirect |
| 6. #19151474 | C2 | semidirect |
| 7. C4×C22⋊Dic89 | C2 | semidirect |
| 8. #19151445 | C2 | semidirect |
| 9. #381×C89 | C2 | semidirect |
| 13. #15667986 | C4 | semidirect |
| 38. C2×C22⋊D89 | C2×C4 | semidirect |
| 45. C4⋊Dic89 | C2×C4 | semidirect |
| 51. #13083551 | C2×C4 | semidirect |
| 58. C22×C4×C89 | C2×C4 | semidirect |
| 135. C89 | #2333 | semidirect |
| 142. #381 | D89 | semidirect |
| 183. C22×C4 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667986 | 2 |
| #19151498 | 2 |
| #19151487 | 2 |
| #19151483 | 2 |
| #19151476 | 2 |
| #19151474 | 2 |
| C4×C22⋊Dic89 | 2 |
| #19151445 | 2 |
| #381×C89 | 2 |
| #2333 | 89 |