Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
348 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 71 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. C2×#15668043 | C2 | semidirect |
| 3. #19151615 | C2 | semidirect |
| 4. #19151607 | C2 | semidirect |
| 5. #19151571 | C2 | semidirect |
| 6. #19151368 | C2 | semidirect |
| 7. #536×C89 | C2 | semidirect |
| 137. C89 | #2009 | semidirect |
| 140. #536 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152396 | 2 |
| C2×#15668043 | 2 |
| #19151615 | 2 |
| #19151607 | 2 |
| #19151571 | 2 |
| #19151368 | 2 |
| #536×C89 | 2 |
| #2009 | 89 |