Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
372 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 1. #19152318 | C2 | semidirect |
| 2. D4×Dic178 | C2 | semidirect |
| 3. #19151956 | C2 | semidirect |
| 4. #19151949 | C2 | semidirect |
| 5. #19151892 | C2 | semidirect |
| 6. #19151878 | C2 | semidirect |
| 8. #19151803 | C2 | semidirect |
| 9. #19151728 | C2 | semidirect |
| 10. #19151695 | C2 | semidirect |
| 123. C89 | #3367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152318 | 2 |
| D4×Dic178 | 2 |
| #19151956 | 2 |
| #19151949 | 2 |
| #19151892 | 2 |
| #19151878 | 2 |
| #19151811 | 2 |
| #19151803 | 2 |
| #19151728 | 2 |
| #19151695 | 2 |
| C4×D8×C89 | 2 |
| #3367 | 89 |