Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
444 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 3. #19151504 | C2 | semidirect |
| 4. #19151502 | C2 | semidirect |
| 5. #19151482 | C2 | semidirect |
| 6. #19151481 | C2 | semidirect |
| 49. C22×C4×C89 | Q8 | semidirect |
| 114. C89 | #2607 | semidirect |
| 155. C22×C4 | Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151534 | 2 |
| #19151510 | 2 |
| #19151504 | 2 |
| #19151502 | 2 |
| #19151482 | 2 |
| #19151481 | 2 |
| #19151461 | 2 |
| C4×C22⋊Dic89 | 2 |
| C4×C22⋊C4×C89 | 2 |
| #2607 | 89 |