Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19151892 | C2 | semidirect |
| 3. #19151891 | C2 | semidirect |
| 6. #19151807 | C2 | semidirect |
| 7. #19151806 | C2 | semidirect |
| 76. C2×Dic89 | Q16 | semidirect |
| 103. C89 | #3249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152150 | 2 |
| #19151892 | 2 |
| #19151891 | 2 |
| #19151839 | 2 |
| #19151837 | 2 |
| #19151807 | 2 |
| #19151806 | 2 |
| C2×#15667941 | 2 |
| #467×C89 | 2 |
| #3249 | 89 |