Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
446 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19152148 | C2 | semidirect |
| 2. #19151996 | C2 | semidirect |
| 3. #19151975 | C2 | semidirect |
| 4. #19151945 | C2 | semidirect |
| 5. #19151851 | C2 | semidirect |
| 6. #19151711 | C2 | semidirect |
| 7. C4×M16×C89 | C2 | semidirect |
| 60. C8×C89 | #41 | semidirect |
| 77. C89 | #3184 | semidirect |
| 84. C4×M16 | D89 | semidirect |
| 137. C8 | #13083574 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152148 | 2 |
| #19151996 | 2 |
| #19151975 | 2 |
| #19151945 | 2 |
| #19151851 | 2 |
| #19151711 | 2 |
| C4×M16×C89 | 2 |
| #3184 | 89 |