Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
408 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 141 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. #19151532 | C2 | semidirect |
| 3. #19151530 | C2 | semidirect |
| 5. #19151496 | C2 | semidirect |
| 6. #19151482 | C2 | semidirect |
| 108. C89 | #2667 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151534 | 2 |
| #19151532 | 2 |
| #19151530 | 2 |
| #19151521 | 2 |
| #19151496 | 2 |
| #19151482 | 2 |
| #19151461 | 2 |
| #19151458 | 2 |
| C4×C22⋊C4×C89 | 2 |
| #2667 | 89 |