Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
224 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 69 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. #19152001 | C2 | semidirect |
| 3. #19151971 | C2 | semidirect |
| 4. #19151946 | C2 | semidirect |
| 5. #19151944 | C2 | semidirect |
| 6. C8×#10623494 | C2 | semidirect |
| 7. #492×C89 | C2 | semidirect |
| 55. C8×C89 | D8 | semidirect |
| 57. #10623494 | SD16 | semidirect |
| 76. C89 | #1706 | semidirect |
| 80. #492 | D89 | semidirect |
| 133. C8 | #13083559 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152001 | 2 |
| #19151974 | 2 |
| #19151971 | 2 |
| #19151946 | 2 |
| #19151944 | 2 |
| C8×#10623494 | 2 |
| #492×C89 | 2 |
| #1706 | 89 |