Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
370 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19152323 | C2 | semidirect |
| 3. #19151947 | C2 | semidirect |
| 4. #19151881 | C2 | semidirect |
| 5. #19151880 | C2 | semidirect |
| 8. C8×Dic178 | C2 | semidirect |
| 11. #487×C89 | C2 | semidirect |
| 95. Dic178 | SD16 | semidirect |
| 119. C89 | #3359 | semidirect |
| 123. #487 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152323 | 2 |
| #19152263 | 2 |
| #19151947 | 2 |
| #19151881 | 2 |
| #19151880 | 2 |
| #19151802 | 2 |
| #19151800 | 2 |
| C8×Dic178 | 2 |
| C4×#13083563 | 2 |
| #19151683 | 2 |
| #487×C89 | 2 |
| #3359 | 89 |