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×#15668020 | C2 | semidirect |
| 3. #19152172 | C2 | semidirect |
| 4. #19151853 | C2 | semidirect |
| 5. #19151841 | C2 | semidirect |
| 6. #19151836 | C2 | semidirect |
| 7. #19151824 | C2 | semidirect |
| 8. #19151640 | C2 | semidirect |
| 9. #19151594 | C2 | semidirect |
| 10. C2×#15667936 | C2 | semidirect |
| 11. C2×#137×C89 | C2 | semidirect |
| 83. M16×C89 | D4 | semidirect |
| 144. C89 | #3063 | semidirect |
| 145. C2×#137 | D89 | semidirect |
| 210. M16 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668020 | 2 |
| #19152176 | 2 |
| #19152172 | 2 |
| #19151853 | 2 |
| #19151841 | 2 |
| #19151836 | 2 |
| #19151824 | 2 |
| #19151640 | 2 |
| #19151594 | 2 |
| C2×#15667936 | 2 |
| C2×#137×C89 | 2 |
| #3063 | 89 |