Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 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. #19152217 | C2 | semidirect |
| 2. #19152003 | C2 | semidirect |
| 3. #19151957 | C2 | semidirect |
| 4. #19151841 | C2 | semidirect |
| 5. #19151836 | C2 | semidirect |
| 7. #19151699 | C2 | semidirect |
| 8. Q16×Dic89 | C2 | semidirect |
| 9. D8×Dic89 | C2 | semidirect |
| 10. #19151552 | C2 | semidirect |
| 11. #495×C89 | C2 | semidirect |
| 118. C89 | #3175 | semidirect |
| 121. #495 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152217 | 2 |
| #19152003 | 2 |
| #19151957 | 2 |
| #19151841 | 2 |
| #19151836 | 2 |
| #19151831 | 2 |
| #19151699 | 2 |
| Q16×Dic89 | 2 |
| D8×Dic89 | 2 |
| #19151552 | 2 |
| #495×C89 | 2 |
| #3175 | 89 |