Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
220 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 65 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×#15667951 | C2 | semidirect |
| 3. #108×D89 | C2 | semidirect |
| 4. #19151406 | C2 | semidirect |
| 5. #19151405 | C2 | semidirect |
| 6. #19151404 | C2 | semidirect |
| 7. #359×C89 | C2 | semidirect |
| 21. C2×#13083549 | C22 | semidirect |
| 22. #15667948 | C22 | semidirect |
| 25. C2×C16×C89 | C22 | semidirect |
| 26. #108×C89 | C22 | semidirect |
| 109. C89 | #2143 | semidirect |
| 116. #359 | D89 | semidirect |
| 132. C2×C16 | C2×D89 | semidirect |
| 135. #108 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #135×D89 | 2 |
| C2×#15667951 | 2 |
| #108×D89 | 2 |
| #19151406 | 2 |
| #19151405 | 2 |
| #19151404 | 2 |
| #359×C89 | 2 |
| #2143 | 89 |