Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152321 | C2 | semidirect |
| 3. #19151948 | C2 | semidirect |
| 4. #19151938 | C2 | semidirect |
| 5. #19151879 | C2 | semidirect |
| 6. #19151836 | C2 | semidirect |
| 7. #19151759 | C2 | semidirect |
| 8. C4×#13083561 | C2 | semidirect |
| 9. #19151663 | C2 | semidirect |
| 10. #19151593 | C2 | semidirect |
| 11. #462×C89 | C2 | semidirect |
| 126. C89 | #3302 | semidirect |
| 133. #462 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152321 | 2 |
| #19152251 | 2 |
| #19151948 | 2 |
| #19151938 | 2 |
| #19151879 | 2 |
| #19151836 | 2 |
| #19151759 | 2 |
| C4×#13083561 | 2 |
| #19151663 | 2 |
| #19151593 | 2 |
| #462×C89 | 2 |
| #3302 | 89 |