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. #19151808 | C2 | semidirect |
| 5. #19151806 | C2 | semidirect |
| 6. #19151804 | C2 | semidirect |
| 7. #19151802 | C2 | semidirect |
| 8. #19151800 | C2 | semidirect |
| 9. #19151620 | C2 | semidirect |
| 10. #19151605 | C2 | semidirect |
| 11. #462×C89 | C2 | semidirect |
| 132. C4×C89 | #137 | semidirect |
| 139. Dic89 | #137 | semidirect |
| 146. C89 | #3039 | semidirect |
| 152. #462 | D89 | semidirect |
| 283. C4 | #15668044 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668044 | 2 |
| C4⋊Q8×D89 | 2 |
| C4×#13083575 | 2 |
| #19151808 | 2 |
| #19151806 | 2 |
| #19151804 | 2 |
| #19151802 | 2 |
| #19151800 | 2 |
| #19151620 | 2 |
| #19151605 | 2 |
| #462×C89 | 2 |
| #3039 | 89 |