Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
284 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 63 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. C22⋊C8×D89 | C2 | semidirect |
| 3. #19151460 | C2 | semidirect |
| 4. #19151336 | C2 | semidirect |
| 5. #19151334 | C2 | semidirect |
| 6. #19151332 | C2 | semidirect |
| 7. #327×C89 | C2 | semidirect |
| 8. C2×#13083573 | C4 | semidirect |
| 12. #15667992 | C4 | semidirect |
| 14. #15667983 | C4 | semidirect |
| 18. #15667970 | C4 | semidirect |
| 128. C89 | #1516 | semidirect |
| 135. #327 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152108 | 2 |
| C22⋊C8×D89 | 2 |
| #19151460 | 2 |
| #19151336 | 2 |
| #19151334 | 2 |
| #19151332 | 2 |
| #327×C89 | 2 |
| #1516 | 89 |