Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
374 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152321 | C2 | semidirect |
| 3. #19152003 | C2 | semidirect |
| 4. #19151932 | C2 | semidirect |
| 5. #19151920 | C2 | semidirect |
| 6. #19151883 | C2 | semidirect |
| 7. #19151878 | C2 | semidirect |
| 8. #19151841 | C2 | semidirect |
| 9. #19151677 | C2 | semidirect |
| 10. #19151637 | C2 | semidirect |
| 11. C4×SD16×C89 | C2 | semidirect |
| 98. C8×C89 | #41 | semidirect |
| 123. C89 | #3353 | semidirect |
| 132. C4×SD16 | D89 | semidirect |
| 222. C8 | #13083574 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152321 | 2 |
| #19152253 | 2 |
| #19152003 | 2 |
| #19151932 | 2 |
| #19151920 | 2 |
| #19151883 | 2 |
| #19151878 | 2 |
| #19151841 | 2 |
| #19151677 | 2 |
| #19151637 | 2 |
| C4×SD16×C89 | 2 |
| #3353 | 89 |