Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
368 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19152160 | C2 | semidirect |
| 2. #19151732 | C2 | semidirect |
| 3. #19151331 | C2 | semidirect |
| 4. #19151322 | C2 | semidirect |
| 5. #392×C89 | C2 | semidirect |
| 13. C22⋊#10623494 | C22 | semidirect |
| 15. C22×D4×C89 | C22 | semidirect |
| 18. #95×C89 | C22 | semidirect |
| 21. C2×D356 | D4 | semidirect |
| 30. C4⋊Dic89 | D4 | semidirect |
| 56. C23×C89 | D8 | semidirect |
| 114. C89 | #1595 | semidirect |
| 117. #392 | D89 | semidirect |
| 122. C22×D4 | C2×D89 | semidirect |
| 132. #95 | C2×D89 | semidirect |
| 174. C23 | #13083559 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152160 | 2 |
| #19151732 | 2 |
| #19151331 | 2 |
| #19151322 | 2 |
| #392×C89 | 2 |
| #1595 | 89 |