Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
484 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 135 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. C2×#15668045 | C2 | semidirect |
| 2. C2×#15668042 | C2 | semidirect |
| 4. C2×#15667977 | C2 | semidirect |
| 5. #19151823 | C2 | semidirect |
| 6. #19151819 | C2 | semidirect |
| 7. #19151807 | C2 | semidirect |
| 8. #19151797 | C2 | semidirect |
| 9. #19151621 | C2 | semidirect |
| 10. #19151597 | C2 | semidirect |
| 11. #417×C89 | C2 | semidirect |
| 49. C2×Dic178 | D4 | semidirect |
| 150. Dic89 | #137 | semidirect |
| 158. C89 | #3037 | semidirect |
| 169. #417 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668045 | 2 |
| C2×#15668042 | 2 |
| #19152144 | 2 |
| C2×#15667977 | 2 |
| #19151823 | 2 |
| #19151819 | 2 |
| #19151807 | 2 |
| #19151797 | 2 |
| #19151621 | 2 |
| #19151597 | 2 |
| #417×C89 | 2 |
| #3037 | 89 |