Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
498 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 137 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. #19151536 | C2 | semidirect |
| 3. #19151533 | C2 | semidirect |
| 4. #19151526 | C2 | semidirect |
| 5. #19151517 | C2 | semidirect |
| 7. #19151509 | C2 | semidirect |
| 8. #19151493 | C2 | semidirect |
| 9. #19151488 | C2 | semidirect |
| 10. C4×C22⋊Dic89 | C2 | semidirect |
| 11. C2×C22⋊Q8×C89 | C2 | semidirect |
| 137. C89 | #2663 | semidirect |
| 139. C2×C22⋊Q8 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667995 | 2 |
| #19151536 | 2 |
| #19151533 | 2 |
| #19151526 | 2 |
| #19151517 | 2 |
| #19151513 | 2 |
| #19151509 | 2 |
| #19151493 | 2 |
| #19151488 | 2 |
| C4×C22⋊Dic89 | 2 |
| C2×C22⋊Q8×C89 | 2 |
| #2663 | 89 |