Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152251 | C2 | semidirect |
| 2. #19151913 | C2 | semidirect |
| 3. #19151875 | C2 | semidirect |
| 4. #19151835 | C2 | semidirect |
| 5. C4×D712 | C2 | semidirect |
| 6. C8×D356 | C2 | semidirect |
| 7. #107×D89 | C2 | semidirect |
| 8. #500×C89 | C2 | semidirect |
| 62. D356 | D8 | semidirect |
| 68. C8×C89 | #41 | semidirect |
| 90. C89 | #3334 | semidirect |
| 92. #500 | D89 | semidirect |
| 159. C8 | #13083575 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152251 | 2 |
| #19151913 | 2 |
| #19151875 | 2 |
| #19151835 | 2 |
| C4×D712 | 2 |
| C8×D356 | 2 |
| #107×D89 | 2 |
| #500×C89 | 2 |
| #3334 | 89 |