Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
386 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 386 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. #19151936 | C2 | semidirect |
| 3. #19151936 | C2 | semidirect |
| 4. #19151931 | C2 | semidirect |
| 5. #19151926 | C2 | semidirect |
| 6. #19151641 | C2 | semidirect |
| 7. #19151634 | C2 | semidirect |
| 8. #19151607 | C2 | semidirect |
| 9. C2×#15667936 | C2 | semidirect |
| 127. C89 | #3097 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152081 | 2 |
| #19151936 | 2 |
| #19151931 | 2 |
| #19151926 | 2 |
| #19151641 | 2 |
| #19151634 | 2 |
| #19151607 | 2 |
| C2×#15667936 | 2 |
| #19151565 | 2 |
| #536×C89 | 2 |
| #3097 | 89 |