Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
266 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19151621 | C2 | semidirect |
| 3. C2×#15667939 | C2 | semidirect |
| 4. C2×#15667938 | C2 | semidirect |
| 5. #19151580 | C2 | semidirect |
| 6. #19151356 | C2 | semidirect |
| 7. #413×C89 | C2 | semidirect |
| 123. C89 | #2050 | semidirect |
| 129. #413 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152396 | 2 |
| #19151621 | 2 |
| C2×#15667939 | 2 |
| C2×#15667938 | 2 |
| #19151580 | 2 |
| #19151356 | 2 |
| #413×C89 | 2 |
| #2050 | 89 |