Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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×#15668043 | C2 | semidirect |
| 2. C2×#15668019 | C2 | semidirect |
| 4. #19151854 | C2 | semidirect |
| 5. #19151846 | C2 | semidirect |
| 6. #19151837 | C2 | semidirect |
| 7. #19151829 | C2 | semidirect |
| 8. #19151641 | C2 | semidirect |
| 9. #19151592 | C2 | semidirect |
| 10. C2×#15667936 | C2 | semidirect |
| 11. #536×C89 | C2 | semidirect |
| 54. #13083558 | D4 | semidirect |
| 144. C89 | #3063 | semidirect |
| 148. #536 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668043 | 2 |
| C2×#15668019 | 2 |
| #19152176 | 2 |
| #19151854 | 2 |
| #19151846 | 2 |
| #19151837 | 2 |
| #19151829 | 2 |
| #19151641 | 2 |
| #19151592 | 2 |
| C2×#15667936 | 2 |
| #536×C89 | 2 |
| #3063 | 89 |