Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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×#15668003 | C2 | semidirect |
| 3. #19151961 | C2 | direct (N × H) |
| 4. C2×#15667934 | C2 | semidirect |
| 5. C2×#15667933 | C2 | semidirect |
| 6. C2×#15667932 | C2 | semidirect |
| 7. C2×#15667922 | C2 | semidirect |
| 8. C2×#102×C89 | C2 | semidirect |
| 16. #15668003 | C22 | semidirect |
| 21. #15667934 | C22 | semidirect |
| 22. #15667933 | C22 | semidirect |
| 23. #15667932 | C22 | semidirect |
| 24. #15667922 | C22 | semidirect |
| 28. #102×C89 | C22 | semidirect |
| 111. C2×C89 | #490 | semidirect |
| 117. C89 | C2×#490 | semidirect |
| 124. C2×#102 | D89 | semidirect |
| 144. #102 | C2×D89 | semidirect |
| 229. C2 | #19151961 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668008 | 2 |
| C2×#15668003 | 2 |
| #19151961 | 2 |
| C2×#15667934 | 2 |
| C2×#15667933 | 2 |
| C2×#15667932 | 2 |
| C2×#15667922 | 2 |
| C2×#102×C89 | 2 |
| C2×#490 | 89 |