Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
308 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 65 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. #19151944 | C2 | semidirect |
| 2. #19151878 | C2 | semidirect |
| 3. #19151803 | C2 | semidirect |
| 4. #19151342 | C2 | semidirect |
| 5. D4⋊#10623494 | C2 | semidirect |
| 6. D4⋊#10623494 | C2 | semidirect |
| 9. #15668012 | C22 | semidirect |
| 11. C4⋊#10623494 | C22 | semidirect |
| 12. C4⋊#10623494 | C22 | semidirect |
| 16. C4×#10623494 | C22 | semidirect |
| 68. D4×C89 | SD16 | semidirect |
| 110. C89 | #1639 | semidirect |
| 180. D4 | #13083562 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151944 | 2 |
| #19151878 | 2 |
| #19151803 | 2 |
| #19151342 | 2 |
| D4⋊#10623494 | 2 |
| D42×C89 | 2 |
| #1639 | 89 |