Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
240 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 240 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 |
|---|---|---|
| 8. #15668011 | C4 | semidirect |
| 9. #15668010 | C4 | semidirect |
| 13. Q8×Dic89 | C4 | semidirect |
| 15. #15667977 | C4 | semidirect |
| 105. C89 | #1503 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152150 | 2 |
| #19151648 | 2 |
| #19151449 | 2 |
| #19151336 | 2 |
| #19151335 | 2 |
| #19151334 | 2 |
| #328×C89 | 2 |
| #1503 | 89 |