Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 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 |
|---|---|---|
| 1. C22×#13083562 | C2 | semidirect |
| 2. #19152169 | C2 | semidirect |
| 3. #19152073 | C2 | semidirect |
| 4. #19151811 | C2 | semidirect |
| 5. #19151801 | C2 | semidirect |
| 6. #19151626 | C2 | semidirect |
| 7. #19151608 | C2 | semidirect |
| 8. #19151594 | C2 | semidirect |
| 14. #15668010 | C22 | semidirect |
| 15. #15667999 | C22 | semidirect |
| 23. #15667941 | C22 | semidirect |
| 24. #15667937 | C22 | semidirect |
| 25. #15667936 | C22 | semidirect |
| 26. #15667933 | C22 | semidirect |
| 117. C89 | #3042 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083562 | 2 |
| #19152169 | 2 |
| #19152073 | 2 |
| #19151811 | 2 |
| #19151801 | 2 |
| #19151626 | 2 |
| #19151608 | 2 |
| #19151594 | 2 |
| C2×AGL(1,ℤ/8)×C89 | 2 |
| #3042 | 89 |