Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
230 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 4. C2×C8×Dic89 | C2 | semidirect |
| 5. #19151362 | C2 | semidirect |
| 6. #19151357 | C2 | semidirect |
| 7. #424×C89 | C2 | semidirect |
| 13. #15667935 | C4 | semidirect |
| 14. #15667932 | C4 | semidirect |
| 91. C89 | #1937 | semidirect |
| 92. #424 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667938 | 2 |
| #19151592 | 2 |
| #19151564 | 2 |
| C2×C8×Dic89 | 2 |
| #19151362 | 2 |
| #19151357 | 2 |
| #424×C89 | 2 |
| #1937 | 89 |