Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
148 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 47 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. C2×#15667953 | C2 | semidirect |
| 2. #19152015 | C2 | semidirect |
| 3. #19151868 | C2 | semidirect |
| 4. #19151427 | C2 | semidirect |
| 5. #19151411 | C2 | semidirect |
| 6. #19151410 | C2 | semidirect |
| 7. #472×C89 | C2 | semidirect |
| 74. C89 | #2221 | semidirect |
| 78. #472 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667953 | 2 |
| #19152015 | 2 |
| #19151868 | 2 |
| #19151427 | 2 |
| #19151411 | 2 |
| #19151410 | 2 |
| #472×C89 | 2 |
| #2221 | 89 |