Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
234 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 234 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. #19152001 | C2 | semidirect |
| 3. #19151808 | C2 | semidirect |
| 4. #19151344 | C2 | semidirect |
| 5. Q8⋊#10623494 | C2 | semidirect |
| 57. D4×C89 | Q16 | semidirect |
| 93. C89 | #1649 | semidirect |
| 152. D4 | #13083564 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152001 | 2 |
| #19151878 | 2 |
| #19151808 | 2 |
| #19151344 | 2 |
| Q8⋊#10623494 | 2 |
| D4⋊#10623494 | 2 |
| D4×Q8×C89 | 2 |
| #1649 | 89 |