Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
308 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 59 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. #19151945 | C2 | semidirect |
| 3. #19151878 | C2 | semidirect |
| 4. #19151804 | C2 | semidirect |
| 5. #19151341 | C2 | semidirect |
| 6. #19151327 | C2 | semidirect |
| 7. D4⋊C8×C89 | C2 | semidirect |
| 11. #15668012 | C22 | semidirect |
| 18. C4⋊#10623494 | C22 | semidirect |
| 23. C4⋊C8×C89 | C22 | semidirect |
| 24. C4×C8×C89 | C22 | semidirect |
| 59. D4×C89 | SD16 | semidirect |
| 110. C89 | #1639 | semidirect |
| 117. D4⋊C8 | D89 | semidirect |
| 130. C4⋊C8 | C2×D89 | semidirect |
| 134. C4×C8 | C2×D89 | semidirect |
| 180. D4 | #13083563 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×D356 | 2 |
| #19151945 | 2 |
| #19151878 | 2 |
| #19151804 | 2 |
| #19151341 | 2 |
| #19151327 | 2 |
| D4⋊C8×C89 | 2 |
| #1639 | 89 |