Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
324 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19151615 | C2 | semidirect |
| 3. #19151604 | C2 | semidirect |
| 4. C2×#15667928 | C2 | semidirect |
| 5. #19151370 | C2 | semidirect |
| 6. #19151356 | C2 | semidirect |
| 7. #568×C89 | C2 | semidirect |
| 11. C2×#13083561 | C4 | semidirect |
| 12. C2×#13083559 | C4 | semidirect |
| 113. C89 | #1903 | semidirect |
| 115. #568 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668037 | 2 |
| #19151615 | 2 |
| #19151604 | 2 |
| C2×#15667928 | 2 |
| #19151370 | 2 |
| #19151356 | 2 |
| #568×C89 | 2 |
| #1903 | 89 |