Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
484 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 157 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 |
|---|---|---|
| 4. #19151504 | C2 | semidirect |
| 5. #19151504 | C2 | semidirect |
| 6. #19151483 | C2 | semidirect |
| 7. #19151468 | C2 | semidirect |
| 8. #19151464 | C2 | semidirect |
| 109. C89 | #2499 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667991 | 2 |
| C2×#15667971 | 2 |
| #19151523 | 2 |
| #19151504 | 2 |
| #19151483 | 2 |
| #19151468 | 2 |
| #19151464 | 2 |
| C4×C22⋊C4×C89 | 2 |
| #2499 | 89 |