Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
336 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 336 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 |
|---|---|---|
| 1. D4×D356 | C2 | semidirect |
| 2. #19151975 | C2 | semidirect |
| 3. #19151794 | C2 | semidirect |
| 4. #19151793 | C2 | semidirect |
| 5. #19151341 | C2 | semidirect |
| 6. #19151327 | C2 | semidirect |
| 7. D4⋊C8×C89 | C2 | semidirect |
| 14. #15668009 | C22 | semidirect |
| 19. C4⋊#10623494 | C22 | semidirect |
| 23. C4⋊C8×C89 | C22 | semidirect |
| 24. C4×C8×C89 | C22 | semidirect |
| 62. D4×C89 | D8 | semidirect |
| 83. D356 | D8 | semidirect |
| 118. C89 | #1619 | semidirect |
| 125. D4⋊C8 | D89 | semidirect |
| 139. C4⋊C8 | C2×D89 | semidirect |
| 142. C4×C8 | C2×D89 | semidirect |
| 194. D4 | D712 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×D356 | 2 |
| #19151975 | 2 |
| #19151794 | 2 |
| #19151793 | 2 |
| #19151341 | 2 |
| #19151327 | 2 |
| D4⋊C8×C89 | 2 |
| #1619 | 89 |