Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
414 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 414 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. C2×#15667971 | C2 | semidirect |
| 3. #19151940 | C2 | semidirect |
| 4. #19151923 | C2 | semidirect |
| 5. #19151640 | C2 | semidirect |
| 6. #19151600 | C2 | semidirect |
| 7. #407×C89 | C2 | semidirect |
| 20. #15667946 | C22 | semidirect |
| 21. #15667944 | C22 | semidirect |
| 22. #15667937 | C22 | semidirect |
| 23. #15667934 | C22 | semidirect |
| 95. C89 | #3093 | semidirect |
| 102. #407 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152109 | 2 |
| C2×#15667971 | 2 |
| #19151940 | 2 |
| #19151923 | 2 |
| #19151640 | 2 |
| #19151600 | 2 |
| #407×C89 | 2 |
| #3093 | 89 |