Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
544 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 185 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 |
|---|---|---|
| 2. #19151530 | C2 | semidirect |
| 3. #19151519 | C2 | semidirect |
| 4. #19151504 | C2 | semidirect |
| 5. #19151496 | C2 | semidirect |
| 51. C22×C4×C89 | Q8 | semidirect |
| 57. C22⋊C4×C89 | Q8 | semidirect |
| 115. C89 | #2549 | semidirect |
| 159. C22×C4 | Dic178 | semidirect |
| 171. C22⋊C4 | Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667989 | 2 |
| #19151530 | 2 |
| #19151519 | 2 |
| #19151504 | 2 |
| #19151496 | 2 |
| #19151473 | 2 |
| #19151458 | 2 |
| C2×#15667919 | 2 |
| C4×C22⋊C4×C89 | 2 |
| #2549 | 89 |