Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
754 conjugacy classes of subgroups; only the 169 normal subgroups are shown.
This group has 754 conjugacy classes of subgroups — too many to draw. Only its 169 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. C2×#15668042 | C2 | semidirect |
| 2. C2×#15667991 | C2 | semidirect |
| 3. #19151760 | C2 | semidirect |
| 4. #19151754 | C2 | semidirect |
| 5. #19151749 | C2 | semidirect |
| 6. #19151599 | C2 | semidirect |
| 7. #19151562 | C2 | semidirect |
| 9. C22×Dic178 | C22 | semidirect |
| 11. C2×#13083564 | C22 | semidirect |
| 12. C2×#13083562 | C22 | semidirect |
| 13. C2×#13083558 | C22 | semidirect |
| 17. #15667991 | C22 | semidirect |
| 18. C2×C4⋊Dic89 | C22 | semidirect |
| 21. #15667936 | C22 | semidirect |
| 22. #15667933 | C22 | semidirect |
| 24. C22⋊#10623494 | C22 | semidirect |
| 130. C22×C89 | #137 | semidirect |
| 147. C89 | #3007 | semidirect |
| 277. C22 | #15668042 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668042 | 2 |
| C2×#15667991 | 2 |
| #19151760 | 2 |
| #19151754 | 2 |
| #19151749 | 2 |
| #19151599 | 2 |
| #19151562 | 2 |
| C22×#41×C89 | 2 |
| #3007 | 89 |