Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 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. #19152229 | C2 | semidirect |
| 3. #19151903 | C2 | semidirect |
| 4. #19151900 | C2 | semidirect |
| 5. #19151891 | C2 | semidirect |
| 6. #19151876 | C2 | semidirect |
| 7. #19151640 | C2 | semidirect |
| 8. C2×#15667945 | C2 | semidirect |
| 9. #19151626 | C2 | semidirect |
| 64. #41×C89 | Q8 | semidirect |
| 124. C89 | #3083 | semidirect |
| 166. #41 | Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152229 | 2 |
| #19152081 | 2 |
| #19151903 | 2 |
| #19151900 | 2 |
| #19151891 | 2 |
| #19151876 | 2 |
| #19151640 | 2 |
| C2×#15667945 | 2 |
| #19151626 | 2 |
| #19151594 | 2 |
| #417×C89 | 2 |
| #3083 | 89 |