Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
494 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 494 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. C2×#15668033 | C2 | semidirect |
| 2. #19152270 | C2 | semidirect |
| 3. #19152252 | C2 | semidirect |
| 4. #19151971 | C2 | semidirect |
| 5. #19151828 | C2 | semidirect |
| 6. #19151808 | C2 | semidirect |
| 7. #19151793 | C2 | semidirect |
| 8. #19151763 | C2 | semidirect |
| 9. #19151744 | C2 | semidirect |
| 10. C8×D356 | C2 | semidirect |
| 11. C4×SD16×C89 | C2 | semidirect |
| 73. SD16×C89 | D4 | semidirect |
| 129. C4×C89 | #135 | semidirect |
| 141. C89 | #3284 | semidirect |
| 151. C4×SD16 | D89 | semidirect |
| 204. SD16 | D356 | semidirect |
| 272. C4 | #15668033 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668033 | 2 |
| #19152270 | 2 |
| #19152252 | 2 |
| #19151971 | 2 |
| #19151828 | 2 |
| #19151808 | 2 |
| #19151793 | 2 |
| #19151763 | 2 |
| #19151744 | 2 |
| C8×D356 | 2 |
| C4×SD16×C89 | 2 |
| #3284 | 89 |