Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
112 conjugacy classes of subgroups; only the 23 normal subgroups are shown.
This group has 112 conjugacy classes of subgroups — too many to draw. Only its 23 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. #19151393 | C2 | semidirect |
| 3. #329×C89 | C2 | semidirect |
| 4. #15668060 | C4 | semidirect |
| 7. #15667931 | C4 | semidirect |
| 54. C89 | #1404 | semidirect |
| 57. #329 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151770 | 2 |
| #19151393 | 2 |
| #329×C89 | 2 |
| #1404 | 89 |