Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
264 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 1. #19151626 | C2 | semidirect |
| 2. #19151594 | C2 | semidirect |
| 3. #19151572 | C2 | semidirect |
| 4. #19151355 | C2 | semidirect |
| 75. C89 | #2053 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151626 | 2 |
| #19151594 | 2 |
| #19151572 | 2 |
| #19151355 | 2 |
| #575×C89 | 2 |
| #2053 | 89 |