Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
480 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 133 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. C4⋊Q8×D89 | C2 | semidirect |
| 4. #19151809 | C2 | semidirect |
| 5. #19151807 | C2 | semidirect |
| 6. #19151805 | C2 | semidirect |
| 7. #19151803 | C2 | semidirect |
| 8. #19151801 | C2 | semidirect |
| 9. #19151620 | C2 | semidirect |
| 10. #19151605 | C2 | semidirect |
| 11. #461×C89 | C2 | semidirect |
| 131. C4×C89 | #137 | semidirect |
| 139. Dic89 | #137 | semidirect |
| 146. C89 | #3039 | semidirect |
| 155. #461 | D89 | semidirect |
| 283. C4 | #15668041 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668041 | 2 |
| C4⋊Q8×D89 | 2 |
| C4×#13083573 | 2 |
| #19151809 | 2 |
| #19151807 | 2 |
| #19151805 | 2 |
| #19151803 | 2 |
| #19151801 | 2 |
| #19151620 | 2 |
| #19151605 | 2 |
| #461×C89 | 2 |
| #3039 | 89 |