Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
356 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
| 2. #19151992 | C2 | semidirect |
| 4. #19151821 | C2 | semidirect |
| 6. #19151809 | C2 | semidirect |
| 7. #19151700 | C2 | semidirect |
| 8. C4×Dic356 | C2 | semidirect |
| 9. #446×C89 | C2 | semidirect |
| 103. C89 | #3402 | semidirect |
| 110. #446 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152321 | 2 |
| #19151992 | 2 |
| #19151982 | 2 |
| #19151821 | 2 |
| #19151814 | 2 |
| #19151809 | 2 |
| #19151700 | 2 |
| C4×Dic356 | 2 |
| #446×C89 | 2 |
| #3402 | 89 |