Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
698 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 698 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 |
|---|---|---|
| 1. #19152396 | C2 | semidirect |
| 2. #19152172 | C2 | semidirect |
| 3. #19151781 | C2 | semidirect |
| 4. #19151771 | C2 | semidirect |
| 5. #19151615 | C2 | semidirect |
| 6. C2×#15667931 | C2 | semidirect |
| 7. C2×2−1+4×C89 | C2 | semidirect |
| 10. #15668042 | C22 | semidirect |
| 12. #15668037 | C22 | semidirect |
| 15. #15668010 | C22 | semidirect |
| 16. #15668001 | C22 | semidirect |
| 20. #15667939 | C22 | semidirect |
| 21. #15667931 | C22 | semidirect |
| 124. C89 | #3020 | semidirect |
| 125. C2×2−1+4 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152396 | 2 |
| #19152172 | 2 |
| #19151781 | 2 |
| #19151771 | 2 |
| #19151615 | 2 |
| C2×#15667931 | 2 |
| C2×2−1+4×C89 | 2 |
| #3020 | 89 |