Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
702 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 702 conjugacy classes of subgroups — too many to draw. Only its 149 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. #19151526 | C2 | semidirect |
| 3. #19151513 | C2 | semidirect |
| 4. #19151477 | C2 | semidirect |
| 5. #19151471 | C2 | semidirect |
| 6. #19151454 | C2 | semidirect |
| 7. C22×C22⋊C4×C89 | C2 | semidirect |
| 11. C2×#13083553 | C22 | semidirect |
| 16. C2×#13083551 | C22 | semidirect |
| 17. #15667919 | C22 | semidirect |
| 18. #15667919 | C22 | semidirect |
| 98. C89 | #2622 | semidirect |
| 100. C22×C22⋊C4 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667981 | 2 |
| #19151526 | 2 |
| #19151513 | 2 |
| #19151477 | 2 |
| #19151471 | 2 |
| #19151454 | 2 |
| C22×C22⋊C4×C89 | 2 |
| #2622 | 89 |