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 |
|---|---|---|
| 1. #19152155 | C2 | semidirect |
| 2. #19151970 | C2 | semidirect |
| 3. #19151944 | C2 | semidirect |
| 4. #19151795 | C2 | semidirect |
| 5. #19151749 | C2 | semidirect |
| 6. #19151651 | C2 | semidirect |
| 8. C2×#13083562 | C22 | semidirect |
| 9. #15668012 | C22 | semidirect |
| 10. #15668012 | C22 | semidirect |
| 15. C4×Dic178 | C22 | semidirect |
| 17. C4⋊#10623494 | C22 | semidirect |
| 18. #15667933 | C22 | semidirect |
| 20. C4×#10623494 | C22 | semidirect |
| 71. C2×C4×C89 | SD16 | semidirect |
| 105. C89 | #3208 | semidirect |
| 180. C2×C4 | #13083562 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| #19151970 | 2 |
| #19151944 | 2 |
| #19151795 | 2 |
| #19151749 | 2 |
| #19151651 | 2 |
| C2×#127×C89 | 2 |
| #3208 | 89 |