Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
372 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19151968 | C2 | semidirect |
| 3. #19151960 | C2 | semidirect |
| 4. #19151955 | C2 | semidirect |
| 5. #19151950 | C2 | semidirect |
| 6. #19151606 | C2 | semidirect |
| 9. C2×#15667935 | C2 | semidirect |
| 10. #19151554 | C2 | semidirect |
| 11. #544×C89 | C2 | semidirect |
| 128. C89 | #3137 | semidirect |
| 129. #544 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152174 | 2 |
| #19151968 | 2 |
| #19151960 | 2 |
| #19151955 | 2 |
| #19151950 | 2 |
| #19151606 | 2 |
| #19151597 | 2 |
| #19151592 | 2 |
| C2×#15667935 | 2 |
| #19151554 | 2 |
| #544×C89 | 2 |
| #3137 | 89 |