Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
216 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19151646 | C2 | semidirect |
| 4. M16×Dic89 | C2 | semidirect |
| 5. #19151368 | C2 | semidirect |
| 6. #19151357 | C2 | semidirect |
| 15. #15667931 | C4 | semidirect |
| 16. #15667929 | C4 | semidirect |
| 96. C89 | #1932 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151646 | 2 |
| C2×#15667939 | 2 |
| #19151582 | 2 |
| M16×Dic89 | 2 |
| #19151368 | 2 |
| #19151357 | 2 |
| #421×C89 | 2 |
| #1932 | 89 |