Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
154 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 57 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. C2×Dic712 | C2 | semidirect |
| 3. #19151424 | C2 | semidirect |
| 4. #19151403 | C2 | semidirect |
| 42. C22×C89 | Q32 | semidirect |
| 54. C89 | #2216 | semidirect |
| 96. C22 | Dic712 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic712 | 2 |
| #19151839 | 2 |
| #19151424 | 2 |
| #19151403 | 2 |
| C22×C16×C89 | 2 |
| #2216 | 89 |