Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
348 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 129 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. #19152307 | C2 | semidirect |
| 2. #19152006 | C2 | semidirect |
| 3. #19152000 | C2 | semidirect |
| 4. #19151898 | C2 | semidirect |
| 5. #19151896 | C2 | semidirect |
| 6. #19151876 | C2 | semidirect |
| 7. #19151728 | C2 | semidirect |
| 54. D8×C89 | Q8 | semidirect |
| 97. C89 | #3389 | semidirect |
| 138. D8 | Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152307 | 2 |
| #19152006 | 2 |
| #19152000 | 2 |
| #19151898 | 2 |
| #19151896 | 2 |
| #19151876 | 2 |
| #19151728 | 2 |
| #19151710 | 2 |
| C4×D8×C89 | 2 |
| #3389 | 89 |