Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
216 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
| 5. M16×Dic89 | C2 | semidirect |
| 6. #19151357 | C2 | semidirect |
| 7. #344×C89 | C2 | semidirect |
| 16. #15667930 | C4 | semidirect |
| 17. #15667928 | C4 | semidirect |
| 96. C89 | #1932 | semidirect |
| 102. #344 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151646 | 2 |
| #19151616 | 2 |
| C2×#15667938 | 2 |
| #19151580 | 2 |
| M16×Dic89 | 2 |
| #19151357 | 2 |
| #344×C89 | 2 |
| #1932 | 89 |