Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
270 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 83 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×#15667947 | C2 | semidirect |
| 3. #19151625 | C2 | semidirect |
| 6. #19151353 | C2 | semidirect |
| 7. #339×C89 | C2 | semidirect |
| 20. #15667935 | C4 | semidirect |
| 21. #15667935 | C4 | semidirect |
| 22. #15667932 | C4 | semidirect |
| 23. #15667932 | C4 | semidirect |
| 110. C89 | #1866 | semidirect |
| 116. #339 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668020 | 2 |
| C2×#15667947 | 2 |
| #19151625 | 2 |
| C2×#15667940 | 2 |
| #19151592 | 2 |
| #19151353 | 2 |
| #339×C89 | 2 |
| #1866 | 89 |