Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152313 | C2 | semidirect |
| 2. #19152253 | C2 | semidirect |
| 3. #19151996 | C2 | semidirect |
| 4. #19151921 | C2 | semidirect |
| 5. #19151915 | C2 | semidirect |
| 6. #19151888 | C2 | semidirect |
| 7. #19151878 | C2 | semidirect |
| 8. #19151848 | C2 | semidirect |
| 9. #19151677 | C2 | semidirect |
| 10. #19151639 | C2 | semidirect |
| 11. C4×D8×C89 | C2 | semidirect |
| 100. C8×C89 | #41 | semidirect |
| 128. C89 | #3354 | semidirect |
| 137. C4×D8 | D89 | semidirect |
| 229. C8 | #13083574 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152313 | 2 |
| #19152253 | 2 |
| #19151996 | 2 |
| #19151921 | 2 |
| #19151915 | 2 |
| #19151888 | 2 |
| #19151878 | 2 |
| #19151848 | 2 |
| #19151677 | 2 |
| #19151639 | 2 |
| C4×D8×C89 | 2 |
| #3354 | 89 |