Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
358 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 83 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. C2×#15667969 | C2 | semidirect |
| 3. C2×#15667940 | C2 | semidirect |
| 4. C2×#15667938 | C2 | semidirect |
| 5. #19151561 | C2 | semidirect |
| 6. #19151357 | C2 | semidirect |
| 7. #339×C89 | C2 | semidirect |
| 12. #15667992 | C4 | semidirect |
| 13. #15667987 | C4 | semidirect |
| 54. C4×Dic89 | D4 | semidirect |
| 64. C42×C89 | D4 | semidirect |
| 128. C89 | #1897 | semidirect |
| 135. #339 | D89 | semidirect |
| 192. C42 | D356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152110 | 2 |
| C2×#15667969 | 2 |
| C2×#15667940 | 2 |
| C2×#15667938 | 2 |
| #19151561 | 2 |
| #19151357 | 2 |
| #339×C89 | 2 |
| #1897 | 89 |