Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
402 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 402 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. #19152155 | C2 | semidirect |
| 3. #19152003 | C2 | semidirect |
| 4. #19151971 | C2 | semidirect |
| 5. #19151949 | C2 | semidirect |
| 6. #19151945 | C2 | semidirect |
| 7. #19151844 | C2 | semidirect |
| 8. #19151700 | C2 | semidirect |
| 9. C4×M16×C89 | C2 | semidirect |
| 90. C8×C89 | #41 | semidirect |
| 113. C89 | #3182 | semidirect |
| 122. C4×M16 | D89 | semidirect |
| 203. C8 | #13083574 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| #19152148 | 2 |
| #19152003 | 2 |
| #19151971 | 2 |
| #19151949 | 2 |
| #19151945 | 2 |
| #19151844 | 2 |
| #19151700 | 2 |
| C4×M16×C89 | 2 |
| #3182 | 89 |