Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
424 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
| 3. #19151960 | C2 | semidirect |
| 4. #19151958 | C2 | semidirect |
| 5. #19151957 | C2 | semidirect |
| 6. #19151947 | C2 | semidirect |
| 7. #19151943 | C2 | semidirect |
| 8. #19151598 | C2 | semidirect |
| 9. #19151596 | C2 | semidirect |
| 10. #19151550 | C2 | semidirect |
| 11. #489×C89 | C2 | semidirect |
| 141. C89 | #3141 | semidirect |
| 147. #489 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152147 | 2 |
| C4⋊Q8×D89 | 2 |
| #19151960 | 2 |
| #19151958 | 2 |
| #19151957 | 2 |
| #19151947 | 2 |
| #19151943 | 2 |
| #19151598 | 2 |
| #19151596 | 2 |
| #19151550 | 2 |
| #489×C89 | 2 |
| #3141 | 89 |