Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 139 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. #19152252 | C2 | semidirect |
| 2. #19152001 | C2 | semidirect |
| 3. #19151911 | C2 | semidirect |
| 4. #19151909 | C2 | semidirect |
| 5. #19151878 | C2 | semidirect |
| 6. #19151875 | C2 | semidirect |
| 7. #19151832 | C2 | semidirect |
| 8. C4×#13083559 | C2 | semidirect |
| 9. D4×#10623494 | C2 | semidirect |
| 10. C2×#15667945 | C2 | semidirect |
| 11. #547×C89 | C2 | semidirect |
| 82. D4×C89 | D8 | semidirect |
| 103. #10623494 | #41 | semidirect |
| 130. C89 | #3334 | semidirect |
| 132. #547 | D89 | semidirect |
| 216. D4 | #13083559 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152252 | 2 |
| #19152001 | 2 |
| #19151911 | 2 |
| #19151909 | 2 |
| #19151878 | 2 |
| #19151875 | 2 |
| #19151832 | 2 |
| C4×#13083559 | 2 |
| D4×#10623494 | 2 |
| C2×#15667945 | 2 |
| #547×C89 | 2 |
| #3334 | 89 |