Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
360 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 360 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. #19152317 | C2 | semidirect |
| 3. #19151976 | C2 | semidirect |
| 4. #19151818 | C2 | semidirect |
| 5. #19151817 | C2 | semidirect |
| 6. #19151801 | C2 | semidirect |
| 7. C8×Dic178 | C2 | semidirect |
| 8. C4×Dic356 | C2 | semidirect |
| 9. Q16×Dic89 | C2 | semidirect |
| 115. C89 | #3393 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152317 | 2 |
| #19151981 | 2 |
| #19151976 | 2 |
| #19151818 | 2 |
| #19151817 | 2 |
| #19151801 | 2 |
| C8×Dic178 | 2 |
| C4×Dic356 | 2 |
| Q16×Dic89 | 2 |
| D8×Dic89 | 2 |
| #495×C89 | 2 |
| #3393 | 89 |